Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-10-27
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, no figures. To appear in the Proceedings of XXVIII Workshop on Geometrical Methods in Physics, Bialowieza (Poland), 2
Scientific paper
We propose a new set of IIB type and eleven-dimensional supergravity solutions which consists of the $n$-fold product of two-spaces ${\bf H}^n/\Gamma$ (where ${\bf H}^n$ denotes the product of $n$ upper half-planes $H^2$ equipped with the co-compact action of $\Gamma \subset SL(2, {\mathbb R})^n$) and $({\bf H}^n)^*/\Gamma$ (where $(H^2)^* = H^2\cup \{{\rm cusp of} \Gamma\}$ and $\Gamma$ is a congruence subgroup of $SL(2, {\mathbb R})^n$). The Freed-Witten global anomaly condition have been analyzed. We argue that the torsion part of the cuspidal cohomology involves in the global anomaly condition. Infinitisimal deformations of generalized complex (and K\"ahler) structures also has been analyzed and stability theorem in the case of a discrete subgroup of $SL(2, {\mathbb R})^n$ with the compact quotient ${\bf H}^n/\Gamma$ was verified.
No associations
LandOfFree
Global anomaly and a family of structures on fold product of complex two-cycles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Global anomaly and a family of structures on fold product of complex two-cycles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global anomaly and a family of structures on fold product of complex two-cycles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-483617