D-Brane Systems in Twisted Holography and SO/Sp Chiral Algebras

TL;DR

This paper investigates the correlation functions of baryon and determinant operators in twisted holography, proposing dual D-brane descriptions involving derived coherent sheaves, and extends the analysis to SO/Sp gauge groups, connecting to topological string theories.

Contribution

It introduces a novel dual brane construction for twisted holography involving D1-D5 systems and extends the framework to SO/Sp gauge groups with Z_2 identifications.

Findings

Constructed candidate dual branes as derived coherent sheaves.

Computed baryon/determinant correlators for SO/Sp gauge groups.

Connected brane constructions to Kodaira-Spencer and Type I topological string theories.

Abstract

We study correlation functions of baryon and determinant operators for the chiral algebras obtained from the twist of N = 4 SYM with U(N) gauge group. In the context of Twisted Holography, we conjecture that a dual description should involve a D1-D5 brane system, and we construct from the correlators a candidate dual brane in the form of a derived coherent sheaf in SL(2,C). Extending this analysis, we compute similar baryon/determinant correlators of chiral algebras in symmetric and antisymmetric representations of SO and Sp gauge groups and construct the candidate dual branes. These branes exhibit Z_2 identifications consistent with conjectures relating SO/Sp chiral algebras to Kodaira-Spencer theory on SL(2,C)/Z_2 and the Type I topological string on SL(2,C).