Worldsheet Descriptions of Wrapped NS Five-Branes

Details Worldsheet Descriptions of Wrapped NS Five-Branes Worldsheet Descriptions of Wrapped NS Five-Branes

2002-03-15

arxiv.org/abs/hep-th/0203147v1

JHEP 0211:038,2002

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, latex

Scientific paper

10.1088/1126-6708/2002/11/038

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 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 CP^1 in Eguchi-Hanson space is described by the Seiberg-Witten prepotential for 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 CP^2 in a Calabi-Yau 3-fold and its relation to (2,2) super-Yang-Mills theory in two dimensions.

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