In a wide class of GL × GR invariant two-dimensional super-renormalizable field theories, the parity-odd part of the two-point function of global currents is completely determined by a fermion one-loop diagram. For any non-trivial fermion content, the two-point function possesses a massless pole which corresponds to massless bosonic physical states. As an application, we show that two-dimensional N= (2,2) supersymmetric gauge theory without a superpotential possesses U (1)L × U(1) R symmetry and contains one massless bosonic state per fixed spatial momentum. The N = (4,4) supersymmetric pure Yang-Mills theory possesses SU(2)L × SU(2)R symmetry, and there exist at least three massless bosonic states.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)