Rohit R. Kalloor
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Rohit R. Kalloor has a total of 8 co-authors. Here are the top co-authors by number of shared publications:
- Adar Sharon
Stony Brook University
2 shared publications - Ofer Aharony
Weizmann Institute of Science
2 shared publications - Trivko Kukolj
Weizmann Institute of Science
2 shared publications - Alexei M. Tsvelik
Brookhaven National Laboratory
1 shared publication - Anatoly Dymarsky
University of Kentucky
1 shared publication - Hiromi Ebisu
Yukawa Institute for Theoretical Physics
1 shared publication
Latest Publications
- Open Access
- 11 July 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (7) , 1-25
More on chaos at weak coupling
A bstract: We discuss aspects of the quantum Lyapunov exponent λ L in theories with an exactly marginal SYK-like random interaction, where λ L can be computed as a continuous function of the interaction strength $$ \mathcal{J} $$ . In 1 d , we prove a conjecture from [1] which states that at small $$ \mathcal{J} $$ , λ L can be found by considering a specific limit of the four-point function in the decoupled theory. We then provide additional evidence for the 2 d version of this conjecture by discussing new examples of Lyapunov exponents which can be computed at weak coupling.- 11 July 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (7) , 1-25
Open AccessMore on chaos at weak coupling
A bstract: We discuss aspects of the quantum Lyapunov exponent λ L in theories with an exactly marginal SYK-like random interaction, where λ L can be computed as a continuous function of the interaction strength $$ \mathcal{J} $$ . In 1 d , we prove a conjecture from [1] which states that at small $$ \mathcal{J} $$ , λ L can be found by considering a specific limit of the four-point function in the decoupled theory. We then provide additional evidence for the 2 d version of this conjecture by discussing new examples of Lyapunov exponents which can be computed at weak coupling. - Open Access
- 4 October 2024
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2024 (10) , 1-21
A chiral limit for Chern-Simons-matter theories
Large N quasi-fermionic Chern-Simons-matter theories have an approximate higher-spin symmetry that strongly constrains their correlation functions. In particular, the 3-point functions for generic spins are combinations of 3 structures (with specific dependence on the positions and helicities), and the coupling-dependence of the coefficient of each structure is uniquely determined. In the past few years, several relations between different structures were found. In this paper we show that all the relations between the structures follow from (or, conversely, they imply) a specific form written by Skvortsov for the vertices of the dual higher-spin gravity theory on four-dimensional anti-de Sitter space, when written in spinor-helicity variables. The dual bulk theory has a specific limit where it simplifies and becomes a “chiral higher-spin gravity theory”, and we discuss what can be said about this limit in the dual Chern-Simons-matter theories, where it involves an analytic continuation to complex couplings.
- 4 October 2024
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2024 (10) , 1-21
Open AccessA chiral limit for Chern-Simons-matter theories
Large N quasi-fermionic Chern-Simons-matter theories have an approximate higher-spin symmetry that strongly constrains their correlation functions. In particular, the 3-point functions for generic spins are combinations of 3 structures (with specific dependence on the positions and helicities), and the coupling-dependence of the coefficient of each structure is uniquely determined. In the past few years, several relations between different structures were found. In this paper we show that all the relations between the structures follow from (or, conversely, they imply) a specific form written by Skvortsov for the vertices of the dual higher-spin gravity theory on four-dimensional anti-de Sitter space, when written in spinor-helicity variables. The dual bulk theory has a specific limit where it simplifies and becomes a “chiral higher-spin gravity theory”, and we discuss what can be said about this limit in the dual Chern-Simons-matter theories, where it involves an analytic continuation to complex couplings.
- Open Access
A chiral limit for Chern-Simons-matter theories
Large N quasi-fermionic Chern-Simons-matter theories have an approximate higher-spin symmetry that strongly constrains their correlation functions. In particular, the 3-point functions for generic spins are combinations of 3 structures (with specific dependence on the positions and helicities), and the coupling-dependence of the coefficient of each structure is uniquely determined. In the past few years, several relations between different structures were found. In this paper we show that all the relations between the structures follow from (or, conversely, they imply) a specific form written by Skvortsov for the vertices of the dual higher-spin gravity theory on four-dimensional anti-de Sitter space, when written in spinor-helicity variables. The dual bulk theory has a specific limit where it simplifies and becomes a "chiral higher-spin gravity theory", and we discuss what can be said about this limit in the dual Chern-Simons-matter theories, where it involves an analytic continuation to complex couplings.
Open AccessA chiral limit for Chern-Simons-matter theories
Large N quasi-fermionic Chern-Simons-matter theories have an approximate higher-spin symmetry that strongly constrains their correlation functions. In particular, the 3-point functions for generic spins are combinations of 3 structures (with specific dependence on the positions and helicities), and the coupling-dependence of the coefficient of each structure is uniquely determined. In the past few years, several relations between different structures were found. In this paper we show that all the relations between the structures follow from (or, conversely, they imply) a specific form written by Skvortsov for the vertices of the dual higher-spin gravity theory on four-dimensional anti-de Sitter space, when written in spinor-helicity variables. The dual bulk theory has a specific limit where it simplifies and becomes a "chiral higher-spin gravity theory", and we discuss what can be said about this limit in the dual Chern-Simons-matter theories, where it involves an analytic continuation to complex couplings.
- Open Access
- 9 June 2023
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (6) , 1-29
Fake Z
Recently introduced connections between quantum codes and Narain CFTs provide a simple ansatz to express a modular-invariant function $$ Z\left(\tau, \overline{\tau}\right) $$ in terms of a multivariate polynomial satisfying certain additional properties. These properties include algebraic identities, which ensure modular invariance of $$ Z\left(\tau, \overline{\tau}\right) $$ , and positivity and integrality of coefficients, which imply positivity and integrality of the 𝔲(1)n × 𝔲(1)n character expansion of $$ Z\left(\tau, \overline{\tau}\right) $$ . Such polynomials come naturally from codes, in the sense that each code of a certain type gives rise to the so-called enumerator polynomial, which automatically satisfies all necessary properties, while the resulting $$ Z\left(\tau, \overline{\tau}\right) $$ is the partition function of the code CFT — the Narain theory unambiguously constructed from the code. Yet there are also “fake” polynomials satisfying all necessary properties, that are not associated with any code. They lead to $$ Z\left(\tau, \overline{\tau}\right) $$ satisfying all modular bootstrap constraints (modular invariance and positivity and integrality of character expansion), but whether they are partition functions of any actual CFT is unclear. We consider the group of the six simplest fake polynomials and denounce the corresponding Z’s as fake: we show that none of them is the torus partition function of any Narain theory. Moreover, four of them are not partition functions of any unitary 2d CFT; our analysis for other two is inconclusive. Our findings point to an obvious limitation of the modular bootstrap approach: not every solution of the full set of torus modular bootstrap constraints is due to an actual CFT. In the paper we consider six simple examples, keeping in mind that thousands more can be constructed.- 9 June 2023
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (6) , 1-29
Open AccessFake Z
Recently introduced connections between quantum codes and Narain CFTs provide a simple ansatz to express a modular-invariant function $$ Z\left(\tau, \overline{\tau}\right) $$ in terms of a multivariate polynomial satisfying certain additional properties. These properties include algebraic identities, which ensure modular invariance of $$ Z\left(\tau, \overline{\tau}\right) $$ , and positivity and integrality of coefficients, which imply positivity and integrality of the 𝔲(1)n × 𝔲(1)n character expansion of $$ Z\left(\tau, \overline{\tau}\right) $$ . Such polynomials come naturally from codes, in the sense that each code of a certain type gives rise to the so-called enumerator polynomial, which automatically satisfies all necessary properties, while the resulting $$ Z\left(\tau, \overline{\tau}\right) $$ is the partition function of the code CFT — the Narain theory unambiguously constructed from the code. Yet there are also “fake” polynomials satisfying all necessary properties, that are not associated with any code. They lead to $$ Z\left(\tau, \overline{\tau}\right) $$ satisfying all modular bootstrap constraints (modular invariance and positivity and integrality of character expansion), but whether they are partition functions of any actual CFT is unclear. We consider the group of the six simplest fake polynomials and denounce the corresponding Z’s as fake: we show that none of them is the torus partition function of any Narain theory. Moreover, four of them are not partition functions of any unitary 2d CFT; our analysis for other two is inconclusive. Our findings point to an obvious limitation of the modular bootstrap approach: not every solution of the full set of torus modular bootstrap constraints is due to an actual CFT. In the paper we consider six simple examples, keeping in mind that thousands more can be constructed. - Top Cited PapersOpen Access
- 26 April 2021
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2021 (4) , 1-23
Squashing, mass, and holography for 3d sphere free energy
We consider the sphere free energy F(b; mI) in $$ \mathcal{N} $$ = 6 ABJ(M) theory deformed by both three real masses mI and the squashing parameter b, which has been computed in terms of an N dimensional matrix model integral using supersymmetric localization. We show that setting $$ {m}_3=i\frac{b-{b}^{-1}}{2} $$ relates F(b; mI) to the round sphere free energy, which implies infinite relations between mI and b derivatives of F(b; mI) evaluated at mI = 0 and b = 1. For $$ \mathcal{N} $$ = 8 ABJ(M) theory, these relations fix all fourth order and some fifth order derivatives in terms of derivatives of m1, m2, which were previously computed to all orders in 1/N using the Fermi gas method. This allows us to compute $$ {\partial}_b^4F\left|{}_{b=1}\right. $$ and $$ {\partial}_b^5F\left|{}_{b=1}\right. $$ to all orders in 1/N, which we precisely match to a recent prediction to sub-leading order in 1/N from the holographically dual AdS4 bulk theory.- 26 April 2021
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2021 (4) , 1-23
Top Cited PapersOpen AccessSquashing, mass, and holography for 3d sphere free energy
We consider the sphere free energy F(b; mI) in $$ \mathcal{N} $$ = 6 ABJ(M) theory deformed by both three real masses mI and the squashing parameter b, which has been computed in terms of an N dimensional matrix model integral using supersymmetric localization. We show that setting $$ {m}_3=i\frac{b-{b}^{-1}}{2} $$ relates F(b; mI) to the round sphere free energy, which implies infinite relations between mI and b derivatives of F(b; mI) evaluated at mI = 0 and b = 1. For $$ \mathcal{N} $$ = 8 ABJ(M) theory, these relations fix all fourth order and some fifth order derivatives in terms of derivatives of m1, m2, which were previously computed to all orders in 1/N using the Fermi gas method. This allows us to compute $$ {\partial}_b^4F\left|{}_{b=1}\right. $$ and $$ {\partial}_b^5F\left|{}_{b=1}\right. $$ to all orders in 1/N, which we precisely match to a recent prediction to sub-leading order in 1/N from the holographically dual AdS4 bulk theory. - 8 October 2020
- Published by American Physical Society (APS) in Physical Review B
- Vol. 102 (16) , 165112
Chiral topologically ordered insulating phases in arrays of interacting integer quantum Hall islands
We study networks of Coulomb-blockaded integer quantum Hall islands with even fillings ( being an integer), including cases with layers each of fillings. Allowing only spin-current interactions between the islands (i.e., without any charge transfer), we obtain solvable models leading to a rich set of insulating topologically ordered phases. The case with is dual to the Kalmeyer-Laughlin phase, to Kitaev's chiral spin liquid and the Moore-Read state, and contains a Fibonacci anyon that may be utilized for universal topological quantum computation. Additionally, we show how the topological phases may be obtained also in an array of islands with integer quantum Hall states and critical spin chains in a checkerboard pattern. The array and checkerboard constructions gap out the charge mode and additional “flavor” modes by virtue of their geometry. Furthermore, we find that a fine tuning of the system parameter is not needed in the checkerboard configuration and the case. We also discuss their bulk excitations, and show that their thermal Hall conductance is universal, reflecting the central charge of the chiral edge modes.- 8 October 2020
- Published by American Physical Society (APS) in Physical Review B
- Vol. 102 (16) , 165112
Chiral topologically ordered insulating phases in arrays of interacting integer quantum Hall islands
We study networks of Coulomb-blockaded integer quantum Hall islands with even fillings ( being an integer), including cases with layers each of fillings. Allowing only spin-current interactions between the islands (i.e., without any charge transfer), we obtain solvable models leading to a rich set of insulating topologically ordered phases. The case with is dual to the Kalmeyer-Laughlin phase, to Kitaev's chiral spin liquid and the Moore-Read state, and contains a Fibonacci anyon that may be utilized for universal topological quantum computation. Additionally, we show how the topological phases may be obtained also in an array of islands with integer quantum Hall states and critical spin chains in a checkerboard pattern. The array and checkerboard constructions gap out the charge mode and additional “flavor” modes by virtue of their geometry. Furthermore, we find that a fine tuning of the system parameter is not needed in the checkerboard configuration and the case. We also discuss their bulk excitations, and show that their thermal Hall conductance is universal, reflecting the central charge of the chiral edge modes.- Open Access
- 5 October 2020
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2020 (10) , 1-25
Four-point functions in large N Chern-Simons fermionic theories
We compute all four-point functions involving the operators J0 and J1 in large-N Chern-Simons fermionic theories, in the regime where all external momenta lie along the z-axis. We find that our result for 〈J0J0J0J0〉 agrees with previous computations, and that the other correlators fall in line with expectations from bootstrap arguments.
- 5 October 2020
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2020 (10) , 1-25
Open AccessFour-point functions in large N Chern-Simons fermionic theories
We compute all four-point functions involving the operators J0 and J1 in large-N Chern-Simons fermionic theories, in the regime where all external momenta lie along the z-axis. We find that our result for 〈J0J0J0J0〉 agrees with previous computations, and that the other correlators fall in line with expectations from bootstrap arguments.
- Open AccessFour-point functions in large $N$ Chern-Simons fermionic theoriesWe compute all four-point functions involving the operators $J_0$ and $J_1$ in large-$N$ Chern-Simons fermionic theories, in the regime where all external momenta lie along the $z$-axis. We find that our result for $\langle J_0 J_0 J_0 J_0 \rangle$ agrees with previous computations, and that the other correlators fall in line with expectations from bootstrap arguments.Open AccessFour-point functions in large $N$ Chern-Simons fermionic theoriesWe compute all four-point functions involving the operators $J_0$ and $J_1$ in large-$N$ Chern-Simons fermionic theories, in the regime where all external momenta lie along the $z$-axis. We find that our result for $\langle J_0 J_0 J_0 J_0 \rangle$ agrees with previous computations, and that the other correlators fall in line with expectations from bootstrap arguments.