### Abstract

In a wide class of G_{L} × G_{R} 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.

Original language | English |
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Pages (from-to) | 1117-1129 |

Number of pages | 13 |

Journal | Progress of Theoretical Physics |

Volume | 116 |

Issue number | 6 |

DOIs | |

Publication status | Published - Dec 1 2006 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

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## Cite this

*Progress of Theoretical Physics*,

*116*(6), 1117-1129. https://doi.org/10.1143/PTP.116.1117