AdS5 solutions from M5-branes on Riemann surface and D6-branes sources

Journal Article · Thu Sep 24 00:00:00 EDT 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP09(2015)163· OSTI ID:1455063

Bah, Ibrahima ^[1]

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1. Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy; CEA/Saclay, Gif-sur-Yvette (France). Institut de Physique Theorique

Here, we describe the gravity duals of four-dimensional N = 1 superconformal field theories obtained by wrapping M5-branes on a punctured Riemann surface. The internal geometry, normal to the AdS 5 factor, generically preserves two U(1)s, with generators (J⁺, J^–), that are fibered over the Riemann surface. The metric is governed by a single potential that satisfies a version of the Monge-Ampère equation. The spectrum of N = 1 punctures is given by the set of supersymmetric sources of the potential that are localized on the Riemann surface and lead to regular metrics near a puncture. We use this system to study a class of punctures where the geometry near the sources corresponds to M-theory description of D6-branes. These carry a natural (p, q) label associated to the circle dual to the killing vector pJ⁺ + qJ^– which shrinks near the source. In the generic case the world volume of the D6-branes is AdS₅ × S² and they locally preserve N = 2 supersymmetry. When p = –q, the shrinking circle is dual to a flavor U(1). The metric in this case is non-degenerate only when there are co-dimension one sources obtained by smearing M5-branes that wrap the AdS₅ factor and the circle dual the superconformal R-symmetry. The D6-branes are extended along the AdS₅ and on cups that end on the co-dimension one branes. In the special case when the shrinking circle is dual to the R-symmetry, the D6-branes are extended along the AdS₅ and wrap an auxiliary Riemann surface with an arbitrary genus. When the Riemann surface is compact with constant curvature, the system is governed by a Monge-Ampère equation.

• Research Organization: Univ. of Southern California, Los Angeles, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: SC0011687
• OSTI ID: 1455063
• Journal Information: Journal of High Energy Physics (Online), Vol. 2015, Issue 9; ISSN 1029-8479
• Publisher: Springer Berlin
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Brane Dynamics in Gauge Theories
AdS-CFT Correspondence
M-Theory