Strong Coupling Dynamics of Four-Dimensional N=1 Gauge Theoriesfrom M Theory Fivebrane

Journal Article · Tue Jul 01 04:00:00 EDT 1997 · Advances in Theoretical Mathematical Physics

OSTI ID:899180

Hori, K; Ooguri, H; Oz, Y

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: Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
• Sponsoring Organization: USDOE; National Science Foundation PHY-95-14797
• DOE Contract Number: AC02-05CH11231
• OSTI ID: 899180
• Report Number(s): LBNL--40336
• Journal Information: Advances in Theoretical Mathematical Physics, Journal Name: Advances in Theoretical Mathematical Physics Vol. 1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFIGURATION
DEFORMATION
DIMENSIONS
QUARKS
SUPERSYMMETRY
VECTORS