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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
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