String solutions in $AdS_3\times S^3\times S^3\times S^1$ with $B$-field

Plamen Bozhilov

doi:10.1142/S0217751X17500075

paper

String solutions in $A d S_{3} \times S^{3} \times S^{3} \times S^{1}$ with $B$ -field

arXiv:1611.00041 · doi:10.1142/S0217751X17500075

Abstract

We consider strings living in $A d S_{3} \times S^{3} \times S^{3} \times S^{1}$ with nonzero $B$ -field. By using specific ansatz for the string embedding, we obtain a class of solutions corresponding to strings moving in the whole ten dimensional space-time. For the $A d S_{3}$ subspace, these solutions are given in terms of incomplete elliptic integrals. For the two three-spheres, they are expressed in terms of Lauricella hypergeometric functions of many variables. The conserved charges, i.e. the string energy, spin and angular momenta, are also found.

24 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1404.7644; V2: references added

String solutions in AdS3​×S3×S3×S1 with B-field

Abstract

References in corpus (3)

String solutions in $A d S_{3} \times S^{3} \times S^{3} \times S^{1}$ with $B$ -field