SPSanhita Parihar

Sanhita Parihar

Indian Institute of Technology Hyderabad
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Sanhita Parihar has a total of 12 co-authors. Here are the top co-authors by number of shared publications:

Latest Publications

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    Holographic complexity of conformal fields in global de Sitter spacetime

    by Sanhita Parihar, Shubho R. Roy

    A bstract: We compute the holographic complexity of conformal quantum fields in rigid global de Sitter spacetime (dS d ) using the volume and action prescriptions. First we consider AdS d +1 spacetime in global dS d foliations, and compute the complexity of the CFT supported on the global dS d conformal boundary. Next, we consider CFT supported on a global dS d (UV) brane embedded in AdS d +1 spacetime, and compute the holographic complexity in this brane set up. We compare and contrast the results in the two cases, as well as with related results in the literature obtained in alternative holographic set ups involving patches of de Sitter spacetime covered by static coordinates or conformal (Poincaré) coordinates.

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    Quantum complexity of nonlocal field theories

    by Mohansai Balusu, Gaurav Katoch, Sanhita Parihar, Shubho R. Roy

    A bstract: Entanglement entropy for nonlocal field theories displays a universal “volume law” scaling [ JHEP 04 (2008) 096, JHEP 10 (2013) 078, JHEP 02 (2014) 033, Phys. Rev. D 89 (2014) 126005] as opposed to the “area law” scaling for local field theories. The aim of this work is to determine whether complexity displays any such an universal scaling laws. The field theories considered here are obtained by deforming $$ \mathcal{N} $$ N = 4 SYM theory by higher dimension operators introducing nonlocality, namely a dipole deformation and noncommutativity (NCSYM) by turning on world volume Kalb-Ramond B field. The dual gravity backgrounds have a running dilaton, in addition to the B -field background, which alter AdS asymptotics. Our results capture nonlocality in the hyperscaling behavior for complexity. We also compute the subregion complexity which display phase transitions in the nonlocal field theories with the transition point being the same as that for the phase transition of entanglement entropy [ JHEP 10 (2013) 078]. These new results dovetail nicely with our findings from our previous works [ JHEP 03 (2021) 275, JHEP 10 (2022) 143, Eur. Phys. J. C 83 (2023) 33] on other lower dimensional nonlocal field theories such as little string theories (LSTs) and warped conformal field theories (WCFTs).

    Cited by 2
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    Entanglement entropy and complexity in dyonic quantum black holes

    by Sanhita Parihar, Gurmeet Singh Punia

    A bstract: In this work, we study the holographic entanglement entropy (HEE) and holographic complexity (HC) for three-dimensional dyonic quantum black holes, incorporating corrections arising from bulk quantum fields in the setup of double holography. We investigate the holographic entanglement entropy through the holographic Ryu-Takayanagi (RT) prescription and the island prescription. Using RT extremization, we evaluate HEE for connected and disconnected (island) surfaces and show islands emerge when RT surfaces intersect the brane; entanglement entropy grows with subregion size and ultimately saturates for quantum black holes as well as dressed defects. For complexity, we analyze both CV (perturbative) and CA (exact, all-orders) prescriptions: the leading quantum corrections feature universal behavior and the late-time growth can be expressed in thermodynamic variables, obeying generalized Lloyd-type bounds. In contrast, quantum dressed defects exhibit vanishing late-time growth. The CA prescription proves to be more tractable nonperturbatively and yields a thermodynamic interpretation of complexity growth.

    Cited by 1
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    Thermal correlators and currents of the $ {\mathcal{W}}_3 $ algebra

    by Sujay K. Ashok, Sanhita Parihar, Tanmoy Sengupta, Adarsh Sudhakar, Roberto Tateo

    A bstract: Two dimensional conformal field theories with the extended $$ {\mathcal{W}}_3 $$ W 3 symmetry algebra have an infinite number of mutually commuting conserved charges, which are referred to as the quantum Boussinesq charges. In this work we construct local operators whose zero modes are precisely these conserved charges. For this purpose we study the higher spin conformal field theory on the torus and compute thermal correlators involving the stress tensor and the spin-3 current in a higher spin module of the $$ {\mathcal{W}}_3 $$ W 3 algebra. In addition we independently obtain the excited state eigenvalues of the quantum Boussinesq charges within the higher spin module via the ODE/IM correspondence. A judicious combination of these data allows us to derive the local operators, whose integrals are the conserved charges of the integrable hierarchy.

    Cited by 4
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    Integrable structure of higher spin CFT and the ODE/IM correspondence

    by Sujay K. Ashok, Sanhita Parihar, Tanmoy Sengupta, Adarsh Sudhakar, Roberto Tateo

    We study two dimensional systems with extended conformal symmetry generated by the $$ \mathcal{W} $$ W 3 algebra. These are expected to have an infinite number of commuting conserved charges, which we refer to as the quantum Boussinesq charges. We compute the eigenvalues of the quantum Boussinesq charges in both the vacuum and first excited states of the higher spin module through the ODE/IM correspondence. By studying the higher spin conformal field theory on the torus, we also calculate thermal correlators involving the energy-momentum tensor and the spin-3 current by making use of the Zhu recursion relations. By combining these results, we show that it is possible to derive the current densities, whose integrals are the quantum Boussinesq charges. We also evaluate the thermal expectation values of the conserved charges, and show that these are quasi-modular differential operators acting on the character of the higher spin module.

    Cited by 15
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    Higher Spin Gravity in $AdS_3$ and Folds on Fermi Surface

    by Suvankar Dutta, Debangshu Mukherjee, Sanhita Parihar

    In this paper, we introduce new sets of boundary conditions for higher spin gravity in $AdS_3$ where the boundary dynamics of spin two and other higher spin fields are governed by the interacting collective field theory Hamiltonian of Avan and Jevicki. We show that the time evolution of spin two and higher spin fields can be captured by the classical dynamics of folded fermi surfaces in the similar spirit of Lin, Lunin and Maldacena. We also construct infinite sequences of conserved charges showing the integrable structure of higher spin gravity (for spin 3) under the boundary conditions we considered. Further, we observe that there are two possible sequences of conserved charges depending on whether the underlying boundary fermions are non-relativistic or relativistic.

    Cited by 1
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    Higher-spin gravity in AdS3 and folds on Fermi surface

    by Suvankar Dutta, Debangshu Mukherjee, Sanhita Parihar

    In this paper, we introduce new sets of boundary conditions for higher-spin gravity in AdS3 where the boundary dynamics of spin-2 and other higher-spin fields are governed by the interacting collective field theory Hamiltonian of Avan and Jevicki. We show that the time evolution of spin-2 and higher-spin fields can be captured by the classical dynamics of folded Fermi surfaces in the similar spirit of Lin, Lunin, and Maldacena. We also construct infinite sequences of conserved charges showing the integrable structure of higher-spin gravity (for spin-3) under the boundary conditions we considered. Further, we observe that there are two possible sequences of conserved charges depending on whether the underlying boundary fermions are nonrelativistic or relativistic.

    Cited by 11
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    T -duality–shift– T -duality transformation versus light-cone reduction and the gravity dual of a nonrelativistic fluid

    by Suvankar Dutta, Taniya Mandal, Sanhita Parihar

    We discuss two different approaches to synthesize holographic nonrelativistic fluid from its relativistic counterpart. In the first approach we obtain the nonrelativistic fluid by light-cone reduction of a relativistic conformal fluid. In the second approach we consider the bulk dual of the relativistic fluid, uplift the solution to 10 dimensions and perform TsT transformations on the bulk solution to change the asymptotic structure. Reducing the TsT transformed geometry over S5 we find an effective 5 dimensional locally boosted solution. We then use the bulk-boundary dictionary to compute the nonrelativistic constitutive relations. We show that the nonrelativistic fluids obtained by these two methods are equivalent up to second order in derivative expansion. Our results also provide explicit expressions for different constitutive relations and transports of holographic U(1) charged nonrelativistic fluids (both parity odd and even) up to second order in derivative expansion.

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    TsT vs. LCR and Gravity Dual of Non-relativistic Fluid

    by Suvankar Dutta, Taniya Mandal, Sanhita Parihar

    We discuss two different approaches to synthesise holographic non-relativistic fluid from its relativistic counterpart. In the first approach we obtain the non-relativistic fluid by light-cone reduction of a relativistic conformal fluid. In the second approach we consider the bulk dual of the relativistic fluid, uplift the solution to 10 dimensions and perform TsT transformations on the bulk solution to change the asymptotic structure. Reducing the TsT transformed geometry over $S^5$ we find an effective 5 dimensional locally boosted solution. We then use the bulk-boundary dictionary to compute the non-relativistic constitutive relations. We show that the non-relativistic fluids obtained by these two methods are equivalent up to second order in derivative expansion. Our results also provide explicit expressions for different constitutive relations and transports of holographic $U(1)$ charged non-relativistic fluids (both parity odd and even) up to second order in derivative expansion.

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    Holographic constraints on generalized Rivlin-Ericksen fluid

    by Suvankar Dutta, Taniya Mandal, Sanhita Parihar

    The Rivlin-Ericksen model is one of the oldest models in fluid dynamics to describe non-Newtonian properties. The model comes with two independent transports at second order. In this paper, we study the relativistic origin of the Rivlin-Ericksen fluid. Starting from a relativistic Weyl invariant uncharged fluid in 3+1 dimensions, we reduce it over light-cone directions and obtain a generic nonrelativistic uncharged fluid in one lower dimension with all possible second-order terms in the constitutive relations. We observe that the Rivlin-Ericksen fluid is a subclass of our generalized nonrelativistic system. We also compute the holographic values of all the nonrelativistic second-order transports and find that three of them satisfy a universal constraint relation.

    Cited by 4
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