## The existence of supersymmetric string theory with torsion.(English)Zbl 1102.53052

The authors study the system of equations proposed by A. Strominger [Nucl. Phys. B 274, 253–284 (1986)] for superstrings with torsion. They construct a regular and irreducible solution of this system for $$U(4)$$ and $$U(5)$$ principal bundles. They achieve this goal by perturbing around the Calabi-Yau vacua paired with the gauge field on the tangent bundle of the Calabi-Yau threefold.

### MSC:

 53C80 Applications of global differential geometry to the sciences 58J90 Applications of PDEs on manifolds 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 81T60 Supersymmetric field theories in quantum mechanics

### Keywords:

superstrings; torsion; Calabi-Yau manifolds
Full Text: