Journal
PHYSICAL REVIEW LETTERS
Volume 94, Issue 14, Pages -Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.94.147205
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In this Letter, we (1) construct a one-parameter family of lattice models of interacting spins; (2) obtain their exact ground states; (3) derive a statistical-mechanical analogy which relates their ground states to O(n) loop gases; (4) show that the models are critical for d <=root 2, where d parametrizes the models; (5) note that, for the special values d=2cos[pi/(k+2)], they are related to doubled level-k SU(2) Chern-Simons theory; (6) conjecture that they are in the universality class of a nonrelativistic SU(2) gauge theory; and (7) show that its one-loop beta function vanishes for all values of the coupling constant, implying that it is also on a critical line.
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