Abstract
We consider a non-supersymmetric Hanany-Witten type IIB brane configuration that realises a three dimensional USp(2N) gauge theory with quarks in the two-index antisymmetric representation and SO(4) flavour symmetry. Using type IIB S-duality we find the mirror dual, an SO(2N-1) field theory with scalars in the antisymmetric representation. Analysing the magnetic dual we study the vacuum structure of the USp(2N) model and propose that the SO(4) global symmetry is unbroken. In order to support our proposal we present an SO(4) symmetric BIon configuration that describes anti-D3 branes polarising into fivebranes in the S-dual Hanany-Witten setup. We also comment on dynamical flavour symmetry breaking in other QCD3 theories with quarks in two-index representations.
Highlights
There has been significant progress in the understanding of the vacuum structure of QCD3 with quarks in the fundamental representation [1,2]
We have not established the existence of such solutions, but even if we did, it would be unclear if they would be energetically dominant or subdominant compared to the solutions along X6 that we presented above. In this short article we used mirror symmetry to argue that the global SOð4Þ flavor symmetry is not broken in our model, for all values of the gauge group rank N
We argued that the mere statement of duality puts constraints on potential patterns of spontaneous symmetry breaking
Summary
There has been significant progress in the understanding of the vacuum structure of QCD3 with quarks in the fundamental representation [1,2]. Our main motivation is to examine more closely the possibility of global symmetry breaking scenarios in such cases It has been argued recently in a related four-dimensional setup with two adjoint fermions that the global SUð2Þ flavor symmetry may not be broken [3]. In gauge theories with conserved parity symmetry at the classical level, the Vafa-Witten theorem excludes spontaneous breaking of parity [4]. It restricts the possible patterns of symmetry breaking. We anticipate that in QCD3 theories with quarks in two-index representations there is no dynamical breaking of flavor symmetry
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