Abstract
We consider the gauged free fermionic matrix model, for a single fermionic matrix. In the large N limit this system describes a c = 1/2 chiral fermion in 1 + 1 dimensions. The Gauss’ law constraint implies that to obtain a physical state, indices of the fermionic matrices must be fully contracted, to form a singlet. There are two ways in which this can be achieved: one can consider a trace basis formed from products of traces of fermionic matrices or one can consider a Schur function basis, labeled by Young diagrams. The Schur polynomials for the fermions involve a twisted character, as a consequence of Fermi statistics. The main result of this paper is a proof that the trace and Schur bases coincide up to a simple normalization coefficient that we have computed.
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ArXiv ePrint: 1903.01628
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Berenstein, D., de Mello Koch, R. Gauged fermionic matrix quantum mechanics. J. High Energ. Phys. 2019, 185 (2019). https://doi.org/10.1007/JHEP03(2019)185
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DOI: https://doi.org/10.1007/JHEP03(2019)185