TY - JOUR
T1 - Topological Gauge Theories on Local Spaces and Black Hole Entropy Countings
JF - Adv. Theor. Math. Phys. 12 (2008) 1429-1446
Y1 - 2008
A1 - Giulio Bonelli
A1 - Alessandro Tanzini
AB - We study cohomological gauge theories on total spaces of holomorphic line bundles over complex manifolds and obtain their reduction to the base manifold by U(1) equivariant localization of the path integral. We exemplify this general mechanism by proving via exact path integral localization a reduction for local curves conjectured in hep-th/0411280, relevant to the calculation of black hole entropy/Gromov-Witten invariants. Agreement with the four-dimensional gauge theory is recovered by taking into account in the latter non-trivial contributions coming from one-loop fluctuations determinants at the boundary of the total space. We also study a class of abelian gauge theories on Calabi-Yau local surfaces, describing the quantum foam for the A-model, relevant to the calculation of Donaldson-Thomas invariants.
UR - http://hdl.handle.net/1963/1992
U1 - 2204
U2 - Physics
U3 - Elementary Particle Theory
ER -