The off-shell M5-brane and non-perturbative gauge theory
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Authors
de Boer, J
de Haro, S
Publication Date
2004-09-20Journal Title
Nuclear Physics B
ISSN
0550-3213
Publisher
Elsevier BV
Volume
696
Issue
1-2
Pages
174-204
Type
Article
This Version
AM
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de Boer, J., & de Haro, S. (2004). The off-shell M5-brane and non-perturbative gauge theory. Nuclear Physics B, 696 (1-2), 174-204. https://doi.org/10.1016/j.nuclphysb.2004.06.050
Abstract
M5-branes wrapping a holomorphic curve in a Calabi-Yau manifold can be used
to construct four-dimensional N=1 gauge theories. In this paper we will
consider M5-brane configurations corresponding to N=2 theories broken to N=1 by
a superpotential for the adjoint scalar field. These M5-brane configurations
can be obtained by lifting suitable intersecting brane configurations in type
IIA, or equivalently by T-dualizing IIB configurations with branes and/or
fluxes. We will show that turning on non-trivial expectation values for the
glueball superfields corresponds to non-holomorphic deformations of the
M5-brane. We compute the superpotential and show it agrees with that computed
by Dijkgraaf and Vafa. Several aspects of the gauge theory, such as the
appearance of non-holomorphic one-forms with integer periods on the
Seiberg-Witten curve, have a natural interpretation from the M5-brane point of
view. We also explain the interpretation of the superpotential in terms of the
twisted (2,0) theory living on the fivebrane.
Identifiers
External DOI: https://doi.org/10.1016/j.nuclphysb.2004.06.050
This record's URL: https://www.repository.cam.ac.uk/handle/1810/274966
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