Marcus Spradlin
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Marcus Spradlin has a total of 17 co-authors. Here are the top co-authors by number of shared publications:
- Anastasia Volovich
Brown University
3 shared publications - Anastasia Volovich
Department of Physics Brown University 02912 Providence RI USA
2 shared publications - Cheng Peng
Brown University
2 shared publications - Georgios Papathanasiou
Brown University 02912 Providence Rhode Island USA
2 shared publications - Igor Prlina
Brown University
2 shared publications - J. Stankowicz
Brown University
2 shared publications
Latest Publications
- Open Access
Landau Singularities of the 7-Point Ziggurat I
The (first-type Landau) singularities of any $n$-point massless planar Feynman integral, at any loop order, are encoded in a certain ''ziggurat graph''. We compute the leading Landau singularities of the 7-point ziggurat graph and find perfect agreement with a subset of the ''heptagon symbol alphabet'' that has appeared in the context of planar $\mathcal{N}=4$ super-Yang-Mills theory. The remaining heptagon symbol letters are found in subleading Landau singularities, which we address in a companion paper.Open AccessLandau Singularities of the 7-Point Ziggurat I
The (first-type Landau) singularities of any $n$-point massless planar Feynman integral, at any loop order, are encoded in a certain ''ziggurat graph''. We compute the leading Landau singularities of the 7-point ziggurat graph and find perfect agreement with a subset of the ''heptagon symbol alphabet'' that has appeared in the context of planar $\mathcal{N}=4$ super-Yang-Mills theory. The remaining heptagon symbol letters are found in subleading Landau singularities, which we address in a companion paper. - Open Access
- 25 May 2018
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2018 (5) , 159
All-helicity symbol alphabets from unwound amplituhedra
We review an algorithm for determining the branch points of general amplitudes in planar $$ \mathcal{N} $$ = 4 super-Yang-Mills theory from amplituhedra. We demonstrate how to use the recent reformulation of amplituhedra in terms of ‘sign flips’ in order to streamline the application of this algorithm to amplitudes of any helicity. In this way we recover the known branch points of all one-loop amplitudes, and we find an ‘emergent positivity’ on boundaries of amplituhedra.- 25 May 2018
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2018 (5) , 159
Open AccessAll-helicity symbol alphabets from unwound amplituhedra
We review an algorithm for determining the branch points of general amplitudes in planar $$ \mathcal{N} $$ = 4 super-Yang-Mills theory from amplituhedra. We demonstrate how to use the recent reformulation of amplituhedra in terms of ‘sign flips’ in order to streamline the application of this algorithm to amplitudes of any helicity. In this way we recover the known branch points of all one-loop amplitudes, and we find an ‘emergent positivity’ on boundaries of amplituhedra. - Open Access
- 10 April 2018
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2018 (4) , 49
Boundaries of amplituhedra and NMHV symbol alphabets at two loops
In this sequel to [3] we classify the boundaries of amplituhedra relevant for determining the branch points of general two-loop amplitudes in planar $$ \mathcal{N}=4 $$ super-Yang-Mills theory. We explain the connection to on-shell diagrams, which serves as a useful cross-check. We determine the branch points of all two-loop NMHV amplitudes by solving the Landau equations for the relevant configurations and are led thereby to a conjecture for the symbol alphabets of all such amplitudes.- 10 April 2018
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2018 (4) , 49
Open AccessBoundaries of amplituhedra and NMHV symbol alphabets at two loops
In this sequel to [3] we classify the boundaries of amplituhedra relevant for determining the branch points of general two-loop amplitudes in planar $$ \mathcal{N}=4 $$ super-Yang-Mills theory. We explain the connection to on-shell diagrams, which serves as a useful cross-check. We determine the branch points of all two-loop NMHV amplitudes by solving the Landau equations for the relevant configurations and are led thereby to a conjecture for the symbol alphabets of all such amplitudes. - Open Access
- 30 October 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (10) , 202
Correlators in the N = 2 $ \mathcal{N}=2 $ supersymmetric SYK model- 30 October 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (10) , 202
Open AccessCorrelators in the N = 2 $ \mathcal{N}=2 $ supersymmetric SYK model - Open AccessCorrelators in the $\mathcal{N}=2$ Supersymmetric SYK ModelWe study correlation functions in the one-dimensional $\mathcal{N}=2$ supersymmetric SYK model. The leading order 4-point correlation functions are computed by summing over ladder diagrams expanded in a suitable basis of conformal eigenfunctions. A novelty of the $\mathcal{N}=2$ model is that both symmetric and antisymmetric eigenfunctions are required. Although we use a component formalism, we verify that the operator spectrum and 4-point functions are consistent with $\mathcal{N}=2$ supersymmetry. We also confirm the maximally chaotic behavior of this model and comment briefly on its 6-point functions.Open AccessCorrelators in the $\mathcal{N}=2$ Supersymmetric SYK ModelWe study correlation functions in the one-dimensional $\mathcal{N}=2$ supersymmetric SYK model. The leading order 4-point correlation functions are computed by summing over ladder diagrams expanded in a suitable basis of conformal eigenfunctions. A novelty of the $\mathcal{N}=2$ model is that both symmetric and antisymmetric eigenfunctions are required. Although we use a component formalism, we verify that the operator spectrum and 4-point functions are consistent with $\mathcal{N}=2$ supersymmetry. We also confirm the maximally chaotic behavior of this model and comment briefly on its 6-point functions.
- Open Access
- 11 May 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (5) , 62
A supersymmetric SYK-like tensor model
- 11 May 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (5) , 62
Open AccessA supersymmetric SYK-like tensor model
- Open Access
- 28 February 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (2) , 137
Heptagons from the Steinmann cluster bootstrap
- 28 February 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (2) , 137
Open AccessHeptagons from the Steinmann cluster bootstrap
- Open Access
More loops and legs in Higgs-regulated N=4 SYM amplitudes
We extend the analysis of Higgs-regulated planar amplitudes of N=4 supersymmetric Yang-Mills theory to four loops for the four-gluon amplitude and to two loops for the five-gluon amplitude. Our calculations are consistent with a proposed all-loop ansatz for planar MHV n-gluon amplitudes that is the analog of the BDS ansatz in dimensional regularization. In all cases considered, we have verified that the IR-finite parts of the logarithm of the amplitudes have the same dependence on kinematic variables as the corresponding functions in dimensionally-regulated amplitudes (up to overall additive constants, which we determine). We also study various Regge limits of N=4 SYM planar n-gluon amplitudes. Euclidean Regge limits of Higgs-regulated n \geq 4 amplitudes yield results similar in form to those found using dimensional regularization, but with different expressions for the gluon trajectory and Regge vertices resulting from the different regulator scheme. We also show that the Regge limit of the four-gluon amplitude is dominated at next-to-leading-log order by vertical ladder diagrams together with the class of vertical ladder diagrams with a single H-shaped insertion.
Open AccessMore loops and legs in Higgs-regulated N=4 SYM amplitudes
We extend the analysis of Higgs-regulated planar amplitudes of N=4 supersymmetric Yang-Mills theory to four loops for the four-gluon amplitude and to two loops for the five-gluon amplitude. Our calculations are consistent with a proposed all-loop ansatz for planar MHV n-gluon amplitudes that is the analog of the BDS ansatz in dimensional regularization. In all cases considered, we have verified that the IR-finite parts of the logarithm of the amplitudes have the same dependence on kinematic variables as the corresponding functions in dimensionally-regulated amplitudes (up to overall additive constants, which we determine). We also study various Regge limits of N=4 SYM planar n-gluon amplitudes. Euclidean Regge limits of Higgs-regulated n \geq 4 amplitudes yield results similar in form to those found using dimensional regularization, but with different expressions for the gluon trajectory and Regge vertices resulting from the different regulator scheme. We also show that the Regge limit of the four-gluon amplitude is dominated at next-to-leading-log order by vertical ladder diagrams together with the class of vertical ladder diagrams with a single H-shaped insertion.
- Open Access
Two-Loop Spectroscopy of Short ABJM Operators
We study the spectrum of anomalous dimensions of short operators in planar ABJM theory at two loops. Specifically we develop a method for solving the OSp(6|4) Bethe ansatz equations for a certain class of unpaired length-4 states with arbitrarily high number of excitations, and apply it to identify three new sequences of rational eigenvalues. Results for low-lying paired states in the OSp(4|2) sector are obtained by direct diagonalization of the spin chain Hamiltonian. We also study the SL(2|1) sector and identify the set of states that corresponds to the SL(2)-like Bethe ansatz of Gromov and Vieira. Finally we extend part of our analysis to length-6 operators.
Open AccessTwo-Loop Spectroscopy of Short ABJM Operators
We study the spectrum of anomalous dimensions of short operators in planar ABJM theory at two loops. Specifically we develop a method for solving the OSp(6|4) Bethe ansatz equations for a certain class of unpaired length-4 states with arbitrarily high number of excitations, and apply it to identify three new sequences of rational eigenvalues. Results for low-lying paired states in the OSp(4|2) sector are obtained by direct diagonalization of the spin chain Hamiltonian. We also study the SL(2|1) sector and identify the set of states that corresponds to the SL(2)-like Bethe ansatz of Gromov and Vieira. Finally we extend part of our analysis to length-6 operators.
- Open Access
The Morphology of N=6 Chern-Simons Theory
We tabulate various properties of the language of N=6 Chern-Simons Theory, in the sense of Polyakov. Specifically we enumerate and compute character formulas for all syllables of up to four letters, i.e. all irreducible representations of OSp(6|4) built from up to four fundamental fields of the ABJM theory. We also present all tensor product decompositions for up to four singletons and list the (cyclically invariant) four-letter words, which correspond to single-trace operators of length four. As an application of these results we use the two-loop dilatation operator to compute the leading correction to the Hagedorn temperature of the weakly-coupled planar ABJM theory on R \times S^2.
Open AccessThe Morphology of N=6 Chern-Simons Theory
We tabulate various properties of the language of N=6 Chern-Simons Theory, in the sense of Polyakov. Specifically we enumerate and compute character formulas for all syllables of up to four letters, i.e. all irreducible representations of OSp(6|4) built from up to four fundamental fields of the ABJM theory. We also present all tensor product decompositions for up to four singletons and list the (cyclically invariant) four-letter words, which correspond to single-trace operators of length four. As an application of these results we use the two-loop dilatation operator to compute the leading correction to the Hagedorn temperature of the weakly-coupled planar ABJM theory on R \times S^2.