Asymptotic Symmetries in $(d+2)$-Dimensional Gauge Theories

Abstract

We show that the subleading soft photon theorem in a $(d+2)$-dimensional massless abelian gauge theory gives rise to a Ward identity corresponding to divergent large gauge transformations acting on the celestial sphere at null infinity. We further generalize our analysis to $(d+2)$-dimensional non-abelian gauge theories and show that the leading and subleading soft gluon theorem give rise to Ward identities corresponding to asymptotic symmetries of the theory.

23 pages; v2: Added reference and clarified parts of Section 3; v3: minor typos corrected, version to appear in JHEP