Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holographic Chiral Algebra: Supersymmetry, Infinite Ward Identities, and
  EFTs   Celestial holography promisingly reformulates the scattering amplitude
holographically in terms of celestial conformal field theory living at null
infinity. Recently, an infinite-dimensional symmetry algebra was discovered in
Einstein-Yang-Mills theory. The starting point in the derivation is the
celestial OPE of two soft currents, and the key ingredient is the summation of
$\overline{SL(2,\mathbb R)}$ descendants in OPE. In this paper, we consider the
supersymmetric Einstein-Yang-Mills theory and obtain the supersymmetric
extension of the holographic symmetry algebra. Furthermore, we derive
infinitely many Ward identities associated with the infinite soft currents
which generate the holographic symmetry algebra. This is realized by
considering the OPE between a soft symmetry current and a hard operator, and
then summing over its $\overline{SL(2,\mathbb R)}$ descendants. These Ward
identities reproduce the known Ward identities corresponding to the leading,
sub-leading, and sub-sub-leading soft graviton theorems as well as the leading
and sub-leading soft gluon theorems. By performing shadow transformations, we
also obtain infinitely many shadow Ward identities, including the stress tensor
Ward identities for sub-leading soft graviton. Finally, we use our procedure to
discuss the corrections to Ward identities in effective field theory (EFT), and
reproduce the corrections to soft theorems at sub-sub-leading order for
graviton and sub-leading order for photon. For this aim, we derive general
formulae for the celestial OPE and its corresponding Ward identities arising
from a cubic interaction of three spinning massless particles. Our formalism
thus provides a unified framework for understanding the Ward identities in
celestial conformal field theory, or equivalently the soft theorems in
scattering amplitude.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph