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Critical Theory of Two-Dimensional Mott Transition: Integrability and Hilbert Space Mapping
(Scientific Research Publishing, 2015-04)
We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory ...
Spin chain integrability in non-supersymmetric Wilson loops
(Springer, 2018-12)
We study the 1-loop dilatation operator for insertions of composite operators in a generalized Wilson loop in N = 4 super Yang-Mills, which interpolates between the supersymmetric Wilson-Maldacena loop and the ordinary ...
Luis Santaló and classical field theory
(Springer Verlag Berlín, 2019-11)
Considered one of the founding fathers of integral geometry, Luis Santaló has contributed to various areas of mathematics. His work has applications in number theory, in the theory of differential equations, in stochastic ...
Generalization via ultrahyperfunctions of a Gupta-Feynman based quantum field theory of Einstein's gravity
(Scientific Research Publishing Inc., 2020-03)
Ultrahyperfunctions (UHF) are the generalization and extension to the complex plane of Schwartz’ tempered distributions. This effort is an application to Einstein’s gravity (EG) of the mathematical theory of convolution ...
Timelike Liouville three-point function
(American Physical Society, 2012-04)
In a recent paper, Harlow, Maltz, and Witten showed that a particular proposal for the timelike Liouville three-point function, originally due to Zamolodchikov and to Kostov and Petkova, can actually be computed by the ...
Effective field theory approach for the S= 32 bilayer honeycomb antiferromagnet
(American Physical Society, 2021)
Current-current deformations, conformal integrals and correlation functions
(Springer, 2020-04)
Motivated by the recent work on TT¯ -type deformations of 2D CFTs, a especial class of single-trace deformations of AdS3/CFT2 correspondence has been investigated. From the worldsheet perspective, this corresponds to a ...
Extended Hamilton-Jacobi Theory, Symmetries and Integrability by Quadratures
(Multidisciplinary Digital Publishing Institute, 2021-06)
In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete ...
A path integral realization of joint JT¯ , TJ¯ and TT¯ flows
(Springer, 2020-07)
We recast the joint JT¯ , TJ¯ and TT¯ deformations as coupling the original theory to a mixture of topological gravity and gauge theory. This geometrizes the general flow triggered by irrelevant deformations built out of ...