S-duality and a large N phase transition in N=4 SYM on K3 at strong coupling
| dc.creator | Papadodimas, Kyriakos | |
| dc.date | 2005-10-26 | |
| dc.date.accessioned | 2026-07-07T06:46:57Z | |
| dc.date.available | 2026-07-07T06:46:57Z | |
| dc.description | We study the supersymmetric partition function of {\cal N}= 4 super Yang-Mills with gauge group SU(N) on K3 in the large N, fixed g limit and show that it undergoes a first order phase transition at the S-duality invariant value of the gauge coupling g. Turning on the θ-angle we find lines of phase transitions on the τplane. The resulting phase diagram and the large N free energy are exactly SL(2,Z) invariant. Similar phase transitions take place in systems related to the {\cal N}=4 on K3 by dualities. One of them is the Dabholkar-Harvey heterotic string system. We consider its mixed (a la Ooguri-Strominger-Vafa) partition function allowing contributions from multi-string states. We find that in the large winding charge limit, it undergoes a phase transition with respect to chemical potential for momentum. It is a short-string, long-string transition that we find interesting in connection with black hole entropy counting. | |
| dc.description | 31 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0510216 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0510216 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103506 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | S-duality and a large N phase transition in N=4 SYM on K3 at strong coupling | |
| dc.type | text |