Topological Gauge Theories on Local Spaces and Black Hole Entropy Countings
Abstrak
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 hol e entropy/Gromov-Witten invariants. Agreement with the four-dimensional gauge theory is recovered by taking into account in the latter non-trivial contributions comin g 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.
Topik & Kata Kunci
Penulis (2)
G. Bonelli
A. Tanzini
Akses Cepat
- Tahun Terbit
- 2007
- Bahasa
- en
- Total Sitasi
- 9×
- Sumber Database
- Semantic Scholar
- DOI
- 10.4310/ATMP.2008.V12.N6.A7
- Akses
- Open Access ✓