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arXiv · 1910.05867

A Talk on 3d Matter Coupled to Chern-Simons Field, Spontaneous Breaking of Scale Invariance, and Fermion-Boson Mapping

Moshe Moshe
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Abstract

The singlet sector of vector, large $N$, 3d field theory corresponds to Vasiliev higher spin theory on $AdS_4$. Will discuss three dimensional $U(N)$ symmetric field theory with fermion and boson matter coupled to a topological Chern-Simons field. In the presence of a marginal deformation will determine the conditions for the existence of a phase with spontaneous breaking of scale invariance. In this phase the ground state contains massive $U(N)$ quanta and a massless $U(N)$ singlet bound state goldstone boson:~the Dilaton. Will show that such a phase appears only in the presence of a marginal deformation. The massless Dilaton appears in the spectrum provided certain relations between coupling constants are satisfied. Will discuss the fermion-boson mapping and show that the conditions for spontaneous breaking of scale invariance in the boson and fermion theories are copies of each other.

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Moshe Moshe. 2019-10-13. A Talk on 3d Matter Coupled to Chern-Simons Field, Spontaneous Breaking of Scale Invariance, and Fermion-Boson Mapping. https://arxiv.org/abs/1910.05867

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