$$ \mathcal{N} $$ = (2, 2) AdS3 from D3-branes wrapped on Riemann surfaces

Abstract

We construct $$ \mathcal{N} $$ N = (2, 2) supersymmetric AdS3 solutions of type IIB supergravity, dual to twisted compactifications of 4d $$ \mathcal{N} $$ N = 4 super-Yang-Mills on Riemann surfaces. We consider both theories with a regular topological twist, and a twist involving the isometry group of the Riemann surface. These solutions are interpreted as the near-horizon of black strings asymptoting to AdS5× S5. As evidence for the proposed duality we compute the central charge of the gravity solutions and show that it agrees with the field theory result.

D3-branes and M5-branes wrapped on a topological disc

“…In this appendix, we show that the solution of the topological disc we obtain in (3.30) is, in fact, identical to the special case, [26], of the multi-charge spindle solution in [9,10].…”

“…Note added. When we were finalizing the manuscript, the preprint, [26], appeared on arXiv. It also studies N = (2, 2) supersymmetric AdS 3 solutions from D3-branes wrapped on a topological disc.…”

A tale of (M)2 twists

“…When f (w) and P (w) have a common root one obtains a topological disc solution as noted in[5,14], see also[12,13,[15][16][17] for other disc solutions.…”

“…The Riemann surface Σ has the topology of a disc, with the boundary a smeared M5 brane, and are holographic duals of Argyres-Douglas theories. Topological discs were later found for M2-, D3-and D4branes in d = 4, 5, 6 gauged supergravity in [5,[14][15][16][17]. It was noted in [5,14] that the discs and spindle solutions are different global completions of the same local solutions, with the discs at a seemingly degenerate limit.…”

“…Topological discs were later found for M2-, D3-and D4branes in d = 4, 5, 6 gauged supergravity in [5,[14][15][16][17]. It was noted in [5,14] that the discs and spindle solutions are different global completions of the same local solutions, with the discs at a seemingly degenerate limit. In the uplifted theory, disc solutions are singular due to the presence of a smeared brane which wraps AdS d−2 and the boundary of the disc.…”