Symmetries of abelian Chern-Simons theories and arithmetic
Symmetries of abelian Chern-Simons theories and arithmetic
A bstract We determine the unitary and anti-unitary Lagrangian and quantum symmetries of arbitrary abelian Chern-Simons theories. The symmetries depend sensitively on the arithmetic properties (e.g. prime factorization) of the matrix of Chern-Simons levels, revealing interesting connections with number theory. We give a complete characterization of the symmetries of abelian …