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• W3104804530 abstract "We construct new M-theory solutions starting from those that contain 5 U(1) isometries. We do this by reducing along one of the 5-torus directions, then T-dualizing via the action of an O(4,4) matrix and lifting back to 11-dimensions. The particular T-duality transformation is a sequence of O(2,2) transformations embedded in O(4,4), where the action of each O(2,2) gives a Lunin-Maldacena deformation in 10-dimensions. We find general formulas for the metric and 4-form field of single and multiparameter deformed solutions, when the 4-form of the initial 11-dimensional background has at most one leg along the 5-torus. All the deformation terms in the new solutions are given in terms of subdeterminants of a 5x5 matrix, which represents the metric on the 5-torus. We apply these results to several M-theory backgrounds of the type AdS_r x X^{11-r}. By appropriate choices of the T-duality and reduction directions we obtain analogues of beta, dipole and noncommutative deformations. We also provide formulas for backgrounds with only 3 or 4 U(1) isometries and study a case, for which our assumption for the 4-form field is violated." @default.
• W3104804530 created "2020-11-23" @default.
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• W3104804530 date "2009-12-08" @default.
• W3104804530 modified "2023-09-27" @default.
• W3104804530 title "Beta, dipole and noncommutative deformations of <i>M</i> -theory backgrounds with one or more parameters" @default.
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• W3104804530 doi "https://doi.org/10.1088/0264-9381/26/24/245015" @default.
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