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We propose an exact solution of a model describing a low energy behavior ofcold isospin S=3/2 fermionic atoms on a one-dimensional optical lattice.Depending on the band filling the effective field theory has a form of adeformed Gross-Neveu model with either $O(7)\times \mathbb{Z}_2$ (half filling)or $U(1)\times O(5)\times \mathbb{Z}_2$ symmetry.Comment: 4 pages, no figures, replaced with the final version to appear in PR

physical review letters

Exactly Solvable Model for Isospin<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Fermionic Atoms on an Optical Lattice

Exactly Solvable Model for IsospinS=3/2Fermionic Atoms on an Optical Lattice