1205.1349 (Ali Imaanpur)

A New Solution of Eleven-dimensional Supergravity    [PDF]

Ali Imaanpur

Using canonical forms on S^7, viewed as an SU(2) bundle over S^4, we introduce consistent ansatzs for the 4-form field strength of eleven-dimensional supergravity and rederive the known squashed and stretched solutions. Further, by rewriting the metric of S^7 as a U(1) bundle over CP^3, where CP^3 is in turn written as an S^2 bundle over S^4, we present yet more general ansatzs. As a result, we find a new solution of AdS_4\times S^7 type in which S^7 is stretched along its SU(2) fiber, and hence the metric on S^7 is non-Einstein. Interestingly, the solution will have a moduli which parametrizes the 4-form flux on a circle.

View original: http://arxiv.org/abs/1205.1349