Strong Coupling Dynamics of Four-Dimensional N=1 Gauge Theoriesfrom M Theory Fivebrane
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{sub c}) gauge group and N{sub f} quarks. For N{sub c} > N{sub f}, we show how the brane configuration encodes the information of the Affleck-Dine-Seiberg superpotential. For N{sub c} = and < N{sub 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{sub c} = N{sub f}. We also prove the type II s-rule in M theory and find new non-renormalization theorems for N = 1 superpotentials.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- USDOE; National Science Foundation PHY-95-14797
- DOE Contract Number:
- DE-AC02-05CH11231
- OSTI ID:
- 899180
- Report Number(s):
- LBNL-40336; TRN: US0701820
- Journal Information:
- Advances in Theoretical Mathematical Physics, Vol. 1; Related Information: Journal Publication Date: 1998
- Country of Publication:
- United States
- Language:
- English
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