Locally supersymmetric -model with Wess-Zumino term in two dimensions and critical dimensions for strings Academic Article uri icon

abstract

  • We construct an N = 1 locally supersymmetric -model with a Wess-Zumino term coupled to supergravity in two dimensions. If one takes the -model manifold to be the product of d-dimensional Minkowski space Md and a group manifold G, and if the radius of G is quantized in appropriate units of the string tension, then the model describes a Neveu-Schwarz-Ramond (NSR)-type string moving on Md G. (Our model generalizes earlier work of refs. [1,2] which do not contain a Wess-Zumino term and that of refs. [5,6] which is not locally supersymmetric.) The zweibein and the gravitino field equations yield constraints which generalize those of the NSR model to the case of a non-abelian group manifold. In particular, the fermionic constraint contains a new term trilinear in the fermionic fields. We quantize the theory in the light-cone gauge and derive the critical dimensions. We compute the mass spectrum of a closed string moving on Md G and show that massless fermions do not arise for non-abelian G for the spinning string, in agreement with the result of Friedan and Shenker [22]. 1986.

published proceedings

  • Nuclear Physics B

author list (cited authors)

  • Bergshoeff, E., Randjbar-Daemi, S., Salam, A., Sarmadi, H., & Sezgin, E.

citation count

  • 75

complete list of authors

  • Bergshoeff, E||Randjbar-Daemi, S||Salam, A||Sarmadi, H||Sezgin, E

publication date

  • May 1986