Comments on (Non-)Chiral Gauge Theories and Type IIB Branes

TL;DR

The paper uses type IIB brane configurations to study four-dimensional N=1 supersymmetric gauge theories, deriving the one-loop beta function from brane bending and realizing Seiberg duality through brane moves in a Type IIB setup. It analyzes anomaly cancellation constraints in chiral theories with orientifold planes and extends considerations to SO and Sp gauge groups, providing approximate beta-function behavior where exact brane-flatness is unattainable. The approach yields consistent qualitative and some quantitative matches to field-theory results, illustrating how brane engineering encodes dualities and anomaly constraints. These results underscore the utility and limitations of Type IIB brane constructions for capturing dynamics of chiral and non-chiral gauge theories with diverse gauge groups.

Abstract

We use type IIB brane configurations which were recently suggested by Hanany and Zaffaroni to study four dimensional N=1 supersymmetric gauge theories. We calculate the one loop beta function and realize Seiberg's duality using a particular configuration. We also comment on the anomaly cancelation condition in the case of chiral theories and the beta function in the case of chiral and SO/Sp theories.

Figures (5)

• Figure 1: $N=1$ Theory with $N_f=N_c+X+Y$ flavors
• Figure 2: The "electric" theory. $SU(N_c)$ gauge theory with $N_f$ flavors
• Figure 3: The "magnetic" theory. $SU(N_f-N_c)$ gauge theory with $N_f$ flavors
• Figure 4: $N=1$$SU(N)$ theory with symmetric, fundamentals and anti-fundamentals. The dashed line denote the $O7^+$.
• Figure 5: $N=1$$SO(N_c)$ theory. The dashed line denote the $O7^+$.