Abstract

We consider a non-supersymmetric USp Yang-Mills Chern-Simons gauge theory coupled to fundamental flavours. The theory is realised in type IIB string theory via an embedding in a Hanany-Witten brane configuration which includes an orientifold and anti-branes. We argue that the theory admits a magnetic Seiberg dual. Using the magnetic dual we identify dynamics in field theory and brane physics that correspond to various phases, obtaining a better understanding of 3d bosonization and dynamical breaking of flavour symmetry in USp QCD$_3$ theory. In field theory both phases correspond to magnetic 'squark' condensation. In string theory they correspond to open string tachyon condensation and brane reconnection. We also discuss other phases where the magnetic 'squark' is massive. Finally, we briefly comment on the case of unitary gauge groups.

Highlights

  • AND CONCLUSIONSQuantum chromodynamics in three spacetime dimensions (QCD3) is an interesting variant of the more familiar QCD in four dimensions

  • Using the magnetic dual we identify dynamics in field theory and brane physics that correspond to various phases, obtaining a better understanding of three-dimensional bosonization and dynamical breaking of flavor symmetry in USp QCD3 theory

  • The three-dimensional theory is richer because three dimensions allow the addition of a topological Chern-Simons (CS) term which blocks the RG running of the Yang-Mills interaction towards strong coupling and alters the infrared (IR) dynamics

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Summary

INTRODUCTION

Quantum chromodynamics in three spacetime dimensions (QCD3) is an interesting variant of the more familiar QCD in four dimensions. In the notation UðNÞk;l the first level refers to the bare level of the SU part and the second to the bare level of the Uð1Þ part Since both of these dualities relate a theory with fermions to a theory with bosons they are frequently referred to as bosonization (in close analogy with the more familiar bosonization in two dimensions). The scalars on the bosonic side have quartic interactions tuned to a Wilson- Versions of this duality for SOðNcÞ and USpð2NcÞ gauge groups have been formulated [2]. For Nf > NÃ it is conjectured [3,4] that the theory flows to some IR fixed point that does not exhibit flavor symmetry breaking

Benefits of an ultra-violet embedding
Lessons from string theory
Outline of the paper
Open problems
Summary of conventions
NONSUPERSYMMETRIC U
Electric theory
Nf anti D3 branes
Magnetic theory
Evidence for duality
PERTURBATIVE DYNAMICS OF THE ELECTRIC AND MAGNETIC THEORIES
Bosonization
Symmetry breaking
Region II
Scenario of symmetry restoration
THE SPECIAL CASE OF YANG-MILLS THEORY WITHOUT A CHERN-SIMONS TERM
RG flows
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