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
Summary
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
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