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Published November 19, 2002 | Published
Journal Article Open

Worldsheet descriptions of wrapped NS five-branes

Abstract

We provide a world-sheet description of Neveu-Schwarz five-branes wrapped on a complex projective space. It is an orbifold of the product of an Script N = 2 minimal model and the IR fixed point of a certain linear sigma model. We show how the naked singularity in the supergravity description is resolved by the world-sheet CFT. Applying mirror symmetry, we show that the low-energy theory of NS5-branes wrapped on Bbb CBbb P1 in Eguchi-Hanson space is described by the Seiberg-Witten prepotential for Script N = 2 super-Yang-Mills, with the gauge group given by the ADE-type of the five-brane. The world-sheet CFT is generically regular, but singularities develop precisely at the Argyres-Douglas points and massless monopole points of the space-time theory. We also study the low-energy theory of NS5-branes wrapped on Bbb CBbb P2 in a Calabi-Yau 3-fold and its relation to (2,2) super-Yang-Mills theory in two dimensions.

Additional Information

© 2002 SISSA. Received 27 September 2002, accepted for publication 19 November 2002. Published 21 January 2003. We would like to thank Tohru Eguchi, Jaume Gomis, Aki Hashimoto and David Tong for useful discussions, and Juan Maldacena for explanations about the decoupling limit for wrapped five-branes. K.H. was supported in part by NSF-DMS 0074329 and by NSF-PHY 0070928. A. K. was supported in part by DOE grant DE-FG03-92-ER40701.

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