D-Brane Systems in Twisted Holography and SO/Sp Chiral Algebras
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).
Keywords
Cite
@article{arxiv.2412.01905,
title = {D-Brane Systems in Twisted Holography and SO/Sp Chiral Algebras},
author = {Adrián López-Raven},
journal= {arXiv preprint arXiv:2412.01905},
year = {2025}
}
Comments
26 pages, 1 figure