### Abstract

The N=2 fermionic string theory is revisited in the light of its recently proposed equivalence to the non-compact N=4 fermionic string model. The issues of spacetime Lorentz covariance and supersymmetry for the BRST quantized N=2 strings living in uncompactified 2+2 dimensions are discussed. The equivalent local quantum supersymmetric field theory appears to be the most transparent way to represent the spacetime symmetries of the extended fermionic strings and their interactions. The considerations support Siegel's (1992) ideas about the presence of SO(2,2) Lorentz symmetry as well as at least two self-dual spacetime supersymmetries in the theory of N=2(4) fermionic strings, though the authors do not have a compelling reason to argue for the necessity of maximal spacetime supersymmetry. The worldsheet arguments for the absence of all massive string modes in the physical spectrum and the vanishing of all string-loop amplitudes in the Polyakov (1981) approach, are given on the basis of the general consistency of the theory.

Original language | English |
---|---|

Article number | 013 |

Pages (from-to) | 1689-1709 |

Number of pages | 21 |

Journal | Classical and Quantum Gravity |

Volume | 10 |

Issue number | 9 |

DOIs | |

Publication status | Published - 1993 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Spacetime supersymmetry of extended fermionic strings in 2+2 dimensions.** / Ketov, Sergei V.

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 10, no. 9, 013, pp. 1689-1709. https://doi.org/10.1088/0264-9381/10/9/013

}

TY - JOUR

T1 - Spacetime supersymmetry of extended fermionic strings in 2+2 dimensions

AU - Ketov, Sergei V.

PY - 1993

Y1 - 1993

N2 - The N=2 fermionic string theory is revisited in the light of its recently proposed equivalence to the non-compact N=4 fermionic string model. The issues of spacetime Lorentz covariance and supersymmetry for the BRST quantized N=2 strings living in uncompactified 2+2 dimensions are discussed. The equivalent local quantum supersymmetric field theory appears to be the most transparent way to represent the spacetime symmetries of the extended fermionic strings and their interactions. The considerations support Siegel's (1992) ideas about the presence of SO(2,2) Lorentz symmetry as well as at least two self-dual spacetime supersymmetries in the theory of N=2(4) fermionic strings, though the authors do not have a compelling reason to argue for the necessity of maximal spacetime supersymmetry. The worldsheet arguments for the absence of all massive string modes in the physical spectrum and the vanishing of all string-loop amplitudes in the Polyakov (1981) approach, are given on the basis of the general consistency of the theory.

AB - The N=2 fermionic string theory is revisited in the light of its recently proposed equivalence to the non-compact N=4 fermionic string model. The issues of spacetime Lorentz covariance and supersymmetry for the BRST quantized N=2 strings living in uncompactified 2+2 dimensions are discussed. The equivalent local quantum supersymmetric field theory appears to be the most transparent way to represent the spacetime symmetries of the extended fermionic strings and their interactions. The considerations support Siegel's (1992) ideas about the presence of SO(2,2) Lorentz symmetry as well as at least two self-dual spacetime supersymmetries in the theory of N=2(4) fermionic strings, though the authors do not have a compelling reason to argue for the necessity of maximal spacetime supersymmetry. The worldsheet arguments for the absence of all massive string modes in the physical spectrum and the vanishing of all string-loop amplitudes in the Polyakov (1981) approach, are given on the basis of the general consistency of the theory.

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U2 - 10.1088/0264-9381/10/9/013

DO - 10.1088/0264-9381/10/9/013

M3 - Article

VL - 10

SP - 1689

EP - 1709

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 9

M1 - 013

ER -