D-string on near horizon geometries and infinite conformal symmetry

TL;DR

This paper demonstrates that D-string symmetries in certain backgrounds are linked to homothetic motions, leading to infinite conformal symmetry in near horizon geometries like AdS, with implications for 2D field theories.

Contribution

It establishes a direct connection between D-string symmetries and background homothetic motions, revealing infinite conformal symmetry in near horizon geometries.

Findings

Infinite nonlinearly realized symmetries form a loop algebra.

Near horizon D3 and D1+D5 backgrounds exhibit infinite conformal symmetry.

Results imply 2D interacting field theories with rich symmetry structures.

Abstract

We show that the symmetries of effective D-string actions in constant dilaton backgrounds are directly related to homothetic motions of the background metric. In presence of such motions, there are infinitely many nonlinearly realized rigid symmetries forming a loop (or loop like) algebra. Near horizon (AdS) D3 and D1+D5 backgrounds are discussed in detail and shown to provide 2d interacting field theories with infinite conformal symmetry.