TY - JOUR

T1 - Compactified superstrings and torsion

AU - Bars, Itzhak

AU - Nemeschansky, Dennis

AU - Yankielowicz, Shimon

N1 - Funding Information:
In this paper we investigate various aspects of string theories on a background manifold with torsion. The paper contains two parts: In the first part we study candidate vacuum configurations for ten-dimensional superstrings. We compactify these theories on M 4 x K where M 4 is four-dimensional space-time and K some compact six-dimensional manifold. In particular we are interested in investigating the existence of solutions with non-zero torsion on K. We approach the compactification problem both from the effective field theory point of view and directly using string considerations. The second part of the paper is devoted to the construction of string theories in curved space with torsion. We discuss both the Neveu-Schwarz-Ramond \[1\]t ype of string where the fermions carry vector indices and the Green-Schwarz \[2a\] type where the fermions carry spinorial indices. Particular emphasis is put on the * Work supported by the Department of Energy, contract DE-AC03-76SF00515. + On leave from Tel-Aviv University.

PY - 1986/12/15

Y1 - 1986/12/15

N2 - String theories on a background manifold with torsion are constructed and investigated in the light-cone gauge with holonomy group H ⊆ SU(3). The appropriate non-linear sigma model is constructed on a hermitian manifold. The relationship between the Neveu-Schwarz-Ramond and the Green-Schwarz versions of the theory is discussed. Under the assumption that the β-function vanishes identically we show that the only viable compactification is on a manifold with zero torsion. This result is obtained from effective field considerations as well as directly from string considerations.

AB - String theories on a background manifold with torsion are constructed and investigated in the light-cone gauge with holonomy group H ⊆ SU(3). The appropriate non-linear sigma model is constructed on a hermitian manifold. The relationship between the Neveu-Schwarz-Ramond and the Green-Schwarz versions of the theory is discussed. Under the assumption that the β-function vanishes identically we show that the only viable compactification is on a manifold with zero torsion. This result is obtained from effective field considerations as well as directly from string considerations.

UR - http://www.scopus.com/inward/record.url?scp=0000318603&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(86)90055-6

DO - 10.1016/0550-3213(86)90055-6

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0000318603

VL - 278

SP - 632

EP - 656

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -