### Abstract

The most general homogeneous monodromy conditions in N=2 string theory are classified in terms of the conjugacy classes of the global symmetry group U(1,1)openZ2. For classes which generate a discrete subgroup Γ, the corresponding target space backgrounds openC1,1/Γ include half spaces, complex orbifolds, and tori. We propose a generalization of the intercept formula to matrix-valued twists, but find massless physical states only for Γ=open1 (untwisted) and Γ=openZ2 (in the manner of Mathur and Mukhi), as well as for Γ being a parabolic element of U(1,1). In particular, the 16 openZ2-twisted sectors of the N=2 string are investigated, and the corresponding ground states are identified via bosonization and BRST cohomology. We find enough room for an extended multiplet of "spacetime" supersymmetry, with the number of supersymmetries being dependent on global "spacetime" topology. However, world-sheet locality for the chiral vertex operators does not permit interactions among all massless "spacetime" fermions.

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

Pages (from-to) | 2872-2890 |

Number of pages | 19 |

Journal | Physical Review D |

Volume | 51 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1995 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*51*(6), 2872-2890. https://doi.org/10.1103/PhysRevD.51.2872

**Twisting the N=2 string.** / Ketov, Sergei V.; Lechtenfeld, Olaf; Parkes, Andrew J.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 51, no. 6, pp. 2872-2890. https://doi.org/10.1103/PhysRevD.51.2872

}

TY - JOUR

T1 - Twisting the N=2 string

AU - Ketov, Sergei V.

AU - Lechtenfeld, Olaf

AU - Parkes, Andrew J.

PY - 1995

Y1 - 1995

N2 - The most general homogeneous monodromy conditions in N=2 string theory are classified in terms of the conjugacy classes of the global symmetry group U(1,1)openZ2. For classes which generate a discrete subgroup Γ, the corresponding target space backgrounds openC1,1/Γ include half spaces, complex orbifolds, and tori. We propose a generalization of the intercept formula to matrix-valued twists, but find massless physical states only for Γ=open1 (untwisted) and Γ=openZ2 (in the manner of Mathur and Mukhi), as well as for Γ being a parabolic element of U(1,1). In particular, the 16 openZ2-twisted sectors of the N=2 string are investigated, and the corresponding ground states are identified via bosonization and BRST cohomology. We find enough room for an extended multiplet of "spacetime" supersymmetry, with the number of supersymmetries being dependent on global "spacetime" topology. However, world-sheet locality for the chiral vertex operators does not permit interactions among all massless "spacetime" fermions.

AB - The most general homogeneous monodromy conditions in N=2 string theory are classified in terms of the conjugacy classes of the global symmetry group U(1,1)openZ2. For classes which generate a discrete subgroup Γ, the corresponding target space backgrounds openC1,1/Γ include half spaces, complex orbifolds, and tori. We propose a generalization of the intercept formula to matrix-valued twists, but find massless physical states only for Γ=open1 (untwisted) and Γ=openZ2 (in the manner of Mathur and Mukhi), as well as for Γ being a parabolic element of U(1,1). In particular, the 16 openZ2-twisted sectors of the N=2 string are investigated, and the corresponding ground states are identified via bosonization and BRST cohomology. We find enough room for an extended multiplet of "spacetime" supersymmetry, with the number of supersymmetries being dependent on global "spacetime" topology. However, world-sheet locality for the chiral vertex operators does not permit interactions among all massless "spacetime" fermions.

UR - http://www.scopus.com/inward/record.url?scp=0001373665&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001373665&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.51.2872

DO - 10.1103/PhysRevD.51.2872

M3 - Article

AN - SCOPUS:0001373665

VL - 51

SP - 2872

EP - 2890

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 6

ER -