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Prog. Theor. Phys. Vol. 77 No. 2 (1987) pp. 443-461

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Gauge String Field Theory for Torus Compactified Closed String

Hiroyuki Hata, Katsumi Itoh, Taichiro Kugo, Hiroshi Kunitomo and Kaku Ogawa

Department of Physics, Kyoto Univerisy, Kyoto 606

(Received October 27, 1986)

Abstract:

Gauge-invariant string field theory is constructed for the closed string compactified on a torus in a generalized manner of Narain. On the basis of the observation that the coordinates of the compactified dimensions cannot be connected smoothly on the 3-string vertex, we show that it is necessary to multiply the vertex functional by the two-cocycle phase factor to achieve the gauge-invariance of the action. With this modified 3-string vertex used, all the identities concerning the *-product of string fields (e.g., Jacobi identity) are shown to hold in the same forms as in the ordinary non-compactified case.


URL : http://ptp.ipap.jp/link?PTP/77/443/
DOI : 10.1143/PTP.77.443

[ Full Text PDF : FREE ACCESS (899K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 78 No. 2 (1987) pp. 453-486 :
    BRS Invariant Vertex of Neveu-Schwarz-Ramond Superstring
    Hiroyuki Hata, Katsumi Itoh, Taichiro Kugo, Hiroshi Kunitomo and Kaku Ogawa
  2. Progress of Theoretical Physics Vol. 79 No. 4 (1988) pp. 953-990 :
    Covariant String Field Theory on Z2-Orbifold
    Katsumi Itoh and Hiroshi Kunitomo
  3. Progress of Theoretical Physics Vol. 82 No. 4 (1989) pp. 829-849 :
    Derivation of the Cocycle Factor of Vertex in Closed Bosonic String Field Theory on Torus
    Masahiro Maeno, and Hiroshi Takano
  4. Progress of Theoretical Physics Vol. 87 No. 4 (1992) pp. 801-859 :
    Target Space Duality as a Symmetry of String Field Theory
    Taichiro Kugo and Barton Zwiebach

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