RSS 1.0Pure & Applied Mathematics (Scholarly Publications)
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Characters, coadjoint orbits and Duistermaat-Heckman integrals
(2021)The asymptotics of characters of irreducible representations of a compact Lie group G for large values of the scaling factor k are given by Duistermaat-Heckman (DH) integrals over coadjoint orbits of G. This phenomenon ... -
TT deformations of non-relativistic models
(2021)The light-cone gauge approach to TT¯¯¯¯ deformed models is used to derive the TT¯¯¯¯ deformed matrix nonlinear Schrödinger equation, the Landau-Lifshitz equation, and the Gardner equation. Properties of one-soliton solutions ... -
From positive geometries to a coaction on hypergeometric functions
(2020)It is well known that Feynman integrals in dimensional regularization often evaluate to functions of hypergeometric type. Inspired by a recent proposal for a coaction on one-loop Feynman integrals in dimensional regularization, ... -
A family of compact strictly pseudoconvex hypersurfaces in C^2 without umbilical points
(2018)We prove the following: For ϵ>0, let Dϵ be the bounded strictly pseudoconvex domain in ℂ2 given by (log|z|)2+(log|w|)2<ϵ2. The boundary Mϵ:=∂Dϵ⊂ℂ2 is a compact strictly pseudoconvex CR manifold without umbilical ... -
QCD Coupling from a Nonperturbative Determination of the Three-Flavor ?? Parameter
(2017)We present a lattice determination of the Λ parameter in three-flavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from 0.2 to 70 GeV, and using ...
