Asymptotic symmetries in p-form theories
A bstract We consider (p+ 1)-form gauge fields in flat (2p+ 4)-dimensions for which radiation
and Coulomb solutions have the same asymptotic fall-off behavior. Imposing appropriate fall …
and Coulomb solutions have the same asymptotic fall-off behavior. Imposing appropriate fall …
Partition functions of p-forms from Harish-Chandra characters
JR David, J Mukherjee - Journal of High Energy Physics, 2021 - Springer
A bstract We show that the determinant of the co-exact p-form on spheres and anti-de Sitter
spaces can be written as an integral transform of bulk and edge Harish-Chandra characters …
spaces can be written as an integral transform of bulk and edge Harish-Chandra characters …
Weyl, Pontryagin, Euler, Eguchi and Freund
MJ Duff - Journal of Physics A: Mathematical and Theoretical, 2020 - iopscience.iop.org
Abstract In a September 1976 PRL Eguchi and Freund considered two topological
invariants: the Pontryagin number $ P\sim\int {\mathrm {d}}^{4} x\sqrt {g}{R}^{{\ast}} R $ and …
invariants: the Pontryagin number $ P\sim\int {\mathrm {d}}^{4} x\sqrt {g}{R}^{{\ast}} R $ and …
Dynamical Edge Modes in -form Gauge Theories
A Ball, YT Law - arXiv preprint arXiv:2411.02555, 2024 - arxiv.org
We extend our recently identified dynamical edge mode boundary condition to $ p $-form
gauge theories, revealing their edge modes as Goldstone bosons arising from gauge …
gauge theories, revealing their edge modes as Goldstone bosons arising from gauge …
Electromagnetic duality and entanglement anomalies
W Donnelly, B Michel, AC Wall - Physical Review D, 2017 - APS
Duality is an indispensable tool for describing the strong-coupling dynamics of gauge
theories. However, its actual realization is often quite subtle: quantities such as the partition …
theories. However, its actual realization is often quite subtle: quantities such as the partition …
Bulk reconstruction for normalizable and non-normalizable modes: p-forms and the graviton
B Bhattacharjee, J Mukherjee - arXiv preprint arXiv:2307.02710, 2023 - arxiv.org
In this paper, we consider the HKLL bulk reconstruction procedure for $ p $-form fields and
graviton in empty AdS $ _ {d+ 1} $. We derive spacelike HKLL bulk reconstruction kernels for …
graviton in empty AdS $ _ {d+ 1} $. We derive spacelike HKLL bulk reconstruction kernels for …
Odd dimensional analogue of the Euler characteristic
A bstract When compact manifolds X and Y are both even dimensional, their Euler
characteristics obey the Künneth formula χ (X× Y)= χ (X) χ (Y). In terms of the Betti numbers …
characteristics obey the Künneth formula χ (X× Y)= χ (X) χ (Y). In terms of the Betti numbers …
Renyi entropy and C_T for p-forms on even spheres
JS Dowker - arXiv preprint arXiv:1706.04574, 2017 - arxiv.org
Renyi entropy and central charge, $ C_T $, are calculated for a coexact p--form on an even
sphere with particular reference to the conformally invariant case. It is shown, for example …
sphere with particular reference to the conformally invariant case. It is shown, for example …
Conformal anomalies for higher derivative free critical p-forms on even spheres
JS Dowker - arXiv preprint arXiv:2007.13670, 2020 - arxiv.org
The conformal anomaly is computed on even $ d $--spheres for a $ p $--form propagating
according to the Branson--Gover higher derivative, conformally covariant operators. The …
according to the Branson--Gover higher derivative, conformally covariant operators. The …
-form gauge fields: charges and memories
E Esmaeili - arXiv preprint arXiv:2010.13922, 2020 - arxiv.org
In this thesis, we study the asymptotic structure of $ p $-form theories on flat space. $ p $-
form theories are generalizations of Maxwell's theory of electrodynamics in which the gauge …
form theories are generalizations of Maxwell's theory of electrodynamics in which the gauge …