N=4 SYM on K3 and the AdS(3)/CFT(2) Correspondence

TL;DR

This paper explores the Fareytail expansion of the topological partition function in N=4 SU(N) super Yang-Mills theory on K3, proposing a holographic duality with asymptotically AdS_3 geometries and heterotic strings.

Contribution

It establishes a connection between the Fareytail expansion of the partition function and a sum over geometries in AdS_3, advancing understanding of holography in this context.

Findings

Fareytail expansion corresponds to geometries in AdS_3

Holographic dual involves fundamental heterotic strings

Provides insights into N=4 SYM on K3 and AdS/CFT correspondence

Abstract

We study the Fareytail expansion of the topological partition function of N=4 SU(N) super Yang-Mills theory on K3. We argue that this expansion corresponds to a sum over geometries in asymptotically AdS_3 spacetime, which is holographically dual to a large number of coincident fundamental heterotic strings.