Noncommutative Super Yang-Mills Theories with 8 Supercharges and Brane Configurations

Abstract

In this paper we consider D=4 NCSYM theories with 8 supercharges. We study these theories through a proper type IIA (and M-theory) brane configuration. We find the one loop beta function of these theories and show that there is an elliptic curve describing the moduli space of the theory, which is in principle the same as the curve for the commutative counter-part of our theory. We study some other details of the dynamics by means of this brane configuration.

14 pages, no figures, v2: typos corrected

References in corpus (6)

• String Theory and Noncommutative Geometry
• Noncommutative Perturbative Dynamics
• Large N Limit of Non-Commutative Gauge Theories
• Magnetic fields, branes and noncommutative geometry
• Renormalization of Quantum Field Theories on Noncommutative R^d, I. Scalars
• Supergravity and Large N Noncommutative Field Theories

Cited by in corpus (10)

• Noncommutative SO(n) and Sp(n) Gauge Theories
• Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
• Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing
• Moduli Space and Scattering of D0-Branes in Noncommutative Super Yang-Mills Theory
• On non-commutative N=2 super Yang-Mills
• On Branes and Oriented B-fields
• Strong Coupling Effects in non-commutative spaces from OM Theory and supergravity
• On the Operator Product Expansion in Noncommutative Quantum Field Theory
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• Gravity/Non-Commutative Yang-Mills Correspondence and Doubletons