Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-11
Phys.Rev.D84:026005,2011
Physics
High Energy Physics
High Energy Physics - Theory
37 pages, significantly revised, new text and equations added for clarity, sections rearranged, references added, conclusions
Scientific paper
10.1103/PhysRevD.84.026005
The type IIA superstring partition function Z_IIA on the euclidean attractor geometry AdS_2 x S^2 x CY_3, computes the modified elliptic genus Z_BH of the associated black hole. The hybrid formalism of superstrings defined as a conformally invariant sigma model on the coset supermanifold PSU(1,1|2)/U(1)xU(1), together with Calabi-Yau and chiral boson CFTs, is used to calculate Z_IIA. The sigma model action on AdS_2 x S^2 is explicitly written in U(1)xU(1) invariant variables. The N=2 generators of AdS_2 x S^2 x CY_3 are enlarged and embedded in an N=4 topological algebra. The world sheet superconformal invariance is then used to construct a nilpotent BRST operator, in contrast to the kappa symmetry analysis used by Beasely et. al. in hep-th/0608021. The sigma model action is explicitly shown to be closed under this BRST operator. Localization arguments are then used to deform the world sheet path integral with the addition of a BRST exact term, where, contributions arise only from the center of AdS_2 and, the north and south poles of S^2. This leads to the OSV result Z_BH = Z_IIA = |Z_top|^2, where |Z_top|^2 is the square of the topological string partition function.
No associations
LandOfFree
Black Hole Partition Function using Hybrid Formalism of Superstrings 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 Black Hole Partition Function using Hybrid Formalism of Superstrings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Black Hole Partition Function using Hybrid Formalism of Superstrings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-543948