Asymptotic symmetry of four dimensional Einstein-Yang-Mills and Einstein-Maxwell theory

Banerjee, Narayan; Tabasum, Rahnuma,; Singh, Ranveer Kumar

doi:10.1007/jhep01(2022)033

Cited by 7 publications

(1 citation statement)

References 44 publications

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“…Another purpose of our paper is to include the coupling to the Yang-Mills theory. This system is of interest in the asymptotic analysis context since it was shown in [33,34] that there were obstructions to finding at spatial infinity the angle-dependent color transformations exhibited at null infinity [35][36][37], except in the abelian case studied in [38]. We start by considering the Yang-Mills theory on a flat Carroll background.…”

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Asymptotic structure of Carrollian limits of Einstein-Yang-Mills theory in four spacetime dimensions

Fuentealba¹,

Henneaux²,

Salgado-Rebolledo³

et al. 2022

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In this paper, three things are done. First, we study from an algebraic point of view the infinite-dimensional BMS-like extensions of the Carroll algebra relevant to the asymptotic structure of the electric and magnetic Carrollian limits of Einstein gravity. In the course of this study we exhibit by "Carroll-Galileo duality" a new infinite-dimensional BMS-like extension of the Galilean algebra and of its centrally extended Bargmann algebra. Second, we consider the electric Carrollian limit of the pure Einstein theory and indicate that more flexible boundary conditions than the ones that follow from just taking the limit of the Einsteinian boundary conditions are actually consistent. These boundary conditions lead to a bigger asymptotic symmetry algebra that involves spatial supertranslations depending on three functions of the angles (instead of one). Third, we turn to the Carrollian limit of the coupled Einstein-Yang-Mills system. An infinite-dimensional color enhancement of the gauge algebra is found in the electric Carrollian limit of the Yang-Mills field, which allows angle-dependent Yang-Mills transformations at spatial infinity, not available in the Einstein-Yang-Mills case prior to taking the Carrollian electric limit. This enhancement does not occur in the magnetic limit.

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confidence: 99%

Asymptotic structure of Carrollian limits of Einstein-Yang-Mills theory in four spacetime dimensions

Fuentealba¹,

Henneaux²,

Salgado-Rebolledo³

et al. 2022

Preprint

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Logarithmic corrections for near-extremal black holes

Banerjee,

Saha,

Srinivasan

2024

J. High Energ. Phys.

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We present the computation of logarithmic corrections to near-extremal black hole entropy from one-loop Euclidean gravity path integral around the near-horizon geometry. We extract these corrections employing a suitably modified heat kernel method, where the near-extremal near-horizon geometry is treated as a perturbation around the extremal near-horizon geometry. Using this method we compute the logarithmic corrections to non-rotating solutions in four dimensional Einstein-Maxwell and $$ \mathcal{N} $$ N = 2, 4, 8 supergravity theories. We also discuss the limit that suitably recovers the extremal black hole results.

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Soft and collinear limits in $$ \mathcal{N} $$ = 8 supergravity using double copy formalism

Banerjee

Tabasum

Singh

2023

J. High Energ. Phys.

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It is known that 𝒩 = 8 supergravity is dual to 𝒩 = 4 super Yang-Mills (SYM) via the double copy relation. Using the explicit relation between scattering amplitudes in the two theories, we calculate the soft and collinear limits in 𝒩 = 8 supergravity from know results in 𝒩 = 4 SYM. In our application of double copy, a particular self-duality condition is chosen for scalars that allows us to constrain and determine the R-symmetry indices of the supergravity states in the collinear limit.

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Asymptotic symmetry of four dimensional Einstein-Yang-Mills and Einstein-Maxwell theory

Cited by 7 publications

References 44 publications

Asymptotic structure of Carrollian limits of Einstein-Yang-Mills theory in four spacetime dimensions

Asymptotic structure of Carrollian limits of Einstein-Yang-Mills theory in four spacetime dimensions

Logarithmic corrections for near-extremal black holes

Soft and collinear limits in $$ \mathcal{N} $$ = 8 supergravity using double copy formalism

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