R^4 corrections to conifolds and G_2 holonomy metrics
arXiv:hep-th/0111128 · doi:10.1016/S0550-3213(02)00241-9
Abstract
Motivated by examples that appeared in the context of string theory - gauge theory duality, we consider corrections to supergravity backgrounds induced by higher derivative R^4+... terms in superstring effective action. We argue that supersymmetric solutions that solve BPS conditions at the leading (supergravity) order continue to satisfy a 1-st order ``RG-type'' system of equations with extra source terms encoding string (or M-theory) corrections. We illustrate this explicitly on the examples of R^4 corrections to the generalized resolved and deformed 6-d conifolds and to a class of non-compact 7-d spaces with G_2 holonomy. Both types of backgrounds get non-trivial modifications which we study in detail, stressing analogies between the two cases.
harvmac, 39p. v2: references added, minor corrections, footnote 4 changed
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