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Generalized structures of ten-dimensional supersymmetric solutions

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Mathematics and Applications of Branes in String and M-theory

Four-dimensional supersymmetric type II string theory vacua can be described elegantly in terms of pure spinors on the generalized tangent bundle T+T. This leads to constraints on M6 involving Hitchin’s “generalized complex geometry”.

In this talk, we apply the same techniques to any ten-dimensional supersymmetric solution, not necessarily factorized as AdS4xM6 or Mink4xM6. I will describe a system of differential equations in terms of forms describing a generalized ISpin(7) structure is equivalent to unbroken supersymmetry, in both IIA and IIB . One of the equations in the system reproduces in one fell swoop all the pure spinors equations for four-dimensional vacua.

This talk is part of the Isaac Newton Institute Seminar Series series.

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