Beta, dipole and noncommutative deformations of M-theory backgrounds with one or more parameters

Aybike Çatal-Özer, Nihat Sadik Deger

Araştırma sonucu: Dergiye katkıMakalebilirkişi

9 Atıf (Scopus)

Özet

We construct new M-theory solutions starting from those that contain five U(1) isometries. We do this by reduction along one of the 5-torus directions, and 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 5 × 5 matrix, which represents the metric on the 5-torus. We apply these results to several M-theory backgrounds of the type AdSr × X11-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 three or four U(1) isometries and study a case, for which our assumption for the 4-form field is violated.

Orijinal dilİngilizce
Makale numarası245015
DergiClassical and Quantum Gravity
Hacim26
Basın numarası24
DOI'lar
Yayın durumuYayınlandı - 2009

Bibliyografik not

Publisher Copyright:
© 2009 IOP Publishing Ltd.

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