Chiral Gauge Dynamics and Dynamical Supersymmetry Breaking

Journal Article · Thu May 07 04:00:00 EDT 2009 · Submitted to Physical Review D

DOI:https://doi.org/10.1088/1126-6708/2009/07/060· OSTI ID:952989

Poppitz, Erich; Unsal, Mithat

We study the dynamics of a chiral SU(2) gauge theory with a Weyl fermion in the I = 3/2 representation and of its supersymmetric generalization. In the former, we find a new and exotic mechanism of confinement, induced by topological excitations that we refer to as magnetic quintets. The supersymmetric version was examined earlier in the context of dynamical supersymmetry breaking by Intriligator, Seiberg, and Shenker, who showed that if this gauge theory confines at the origin of moduli space, one may break supersymmetry by adding a tree level superpotential. We examine the dynamics by deforming the theory on S{sup 1} x R{sup 3}, and show that the infrared behavior of this theory is an interacting CFT at small S{sup 1}. We argue that this continues to hold at large S{sup 1}, and if so, that supersymmetry must remain unbroken. Our methods also provide the microscopic origin of various superpotentials in SQCD on S{sup 1} x R{sup 3}--which were previously obtained by using symmetry and holomorphy--and resolve a long standing interpretational puzzle concerning a flux operator discovered by Affleck, Harvey, and Witten. It is generated by a topological excitation, a 'magnetic bion', whose stability is due to fermion pair exchange between its constituents. We also briefly comment on composite monopole operators as leading effects in two dimensional antiferromagnets.

• Research Organization: Stanford Linear Accelerator Center (SLAC)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 952989
• Report Number(s): SLAC-PUB-13604; arXiv:0905.0634
• Journal Information: Submitted to Physical Review D, Journal Name: Submitted to Physical Review D
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFINEMENT
EXCITATION
FERMIONS
MONOPOLES
ORIGIN
STABILITY
SUPERSYMMETRY
SYMMETRY
Theory-HEP
HEPPH
HEPTH