Brane-Anti-Brane Solution and SUSY Effective Potential in Five Dimensional Mirabelli-Peskin Model

TL;DR

This paper investigates a supersymmetric brane-anti-brane configuration in a five-dimensional orbifold model, deriving the effective potential and Casimir energy, revealing new dependencies on brane parameters.

Contribution

It introduces a novel 1-loop effective potential for a SUSY 5D model with boundary conditions, including a new brane-dependent Casimir energy component.

Findings

Derived the full 1-loop effective potential respecting SUSY boundary conditions.

Identified a new brane-dependent Casimir energy contribution.

Maintained SUSY in a localized 5D brane-anti-brane configuration.

Abstract

A localized configuration is found in the 5D bulk-boundary theory on an $S_1/Z_2$ orbifold model of Mirabelli-Peskin. A bulk scalar and the extra (fifth) component of the bulk vector constitute the configuration. $\Ncal=1$ SUSY is preserved. The effective potential of the SUSY theory is obtained using the background field method. The vacuum is treated in a general way by allowing its dependence on the extra coordinate. Taking into account the {\it supersymmetric boundary condition}, the 1-loop full potential is obtained. The scalar-loop contribution to the Casimir energy is also obtained. Especially we find a {\it new} type which depends on the brane configuration parameters besides the $S_1$ periodicity parameter.