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Strong coupling dynamics of four-dimensional N = 1 gauge theories from M-theory fivebrane

Hori, Kentaro and Ooguri, Hirosi and Oz, Yaron (1997) Strong coupling dynamics of four-dimensional N = 1 gauge theories from M-theory fivebrane. Advances in Theoretical and Mathematical Physics, 1 (1). pp. 1-52. ISSN 1095-0761. doi:10.4310/ATMP.1997.v1.n1.a1.

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It has been known that the fivebrane of type IIA theory can be used to give an exact low energy description of N=2 supersymmetric gauge theories in four dimensions. We follow the recent M theory description by Witten and show that it can be used to study theories with N=1 supersymmetry. The N=2 supersymmetry can be broken to N=1 by turning on a mass for the adjoint chiral superfield in the N=2 vector multiplet. We construct the configuration of the fivebrane for both finite and infinite values of the adjoint mass. The fivebrane describes strong coupling dynamics of N=1 theory with SU(N_c) gauge group and N_f quarks. For N_c > N_f, we show how the brane configuration encodes the information of the Affleck-Dine-Seiberg superpotential. For N_c = and < N_f, we study the deformation space of the brane configuration and compare it with the moduli space of the N=1 theory. We find agreement with field theory results, including the quantum deformation of the moduli space at N_c = N_f. We also prove the type II s-rule in M theory and find new non-renormalization theorems for N=1 superpotentials.

Item Type:Article
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URLURL TypeDescription Paper
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 1997 International Press. We would like to thank D. Kutasov, H. Murayama, R. Plesser, C. Vafa and E. Witten for valuable discussions. K.H. would like to thank Institute for Advanced Study and Rutgers Physics Department, H.O. would like to thank Harvard and Rutgers Physics Departments and Y.O. would like to thank the Weizmann Institute Physics Department, for hospitality. This research is supported in part by NSF grant PHY-95-14797 and DOE grant DE-AC03-76SF00098.
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Department of Energy (DOE)DE-AC03-76SF00098
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Record Number:CaltechAUTHORS:20161221-131040211
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73094
Deposited By: Tony Diaz
Deposited On:21 Dec 2016 21:49
Last Modified:11 Nov 2021 05:11

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