Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary
175 citations recorded by the source corpus.
We compute the partition function on the hemisphere of a class of twodimensional (2,2) supersymmetric field theories including gauged linear sigma models. The result provides a general exact formula for the central charge of the D-brane placed at the boundary. It takes the form of Mellin-Barnes integral and the question of its convergence leads to the grade restriction rule concerning branes near the phase boundaries. We find expressions in various phases including the large volume formula in which a characteristic class called the Gamma class shows up. The two sphere partition function factorizes into two hemispheres glued by inverse to the annulus. The result can also be written in a form familiar in mirror symmetry, and suggests a way to find explicit mirror correspondence between branes.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/fba78ae3234c0c8e7403890b759d37095721bd7e
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In Geometry and Topology
- H. Iritani
- Yunfeng Jiang
- Tom Coates
- Christopher Woodward
- Bumsig Kim
- Ionut Ciocan-Fontanine
- Alexander Givental
- Jeffrey Brown
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- The Crepant Transformation Conjecture for Toric Complete Intersections (2014, background): “Hori– Romo [50] explained why the Mellin–Barnes analytic continuation of hemisphere partition functions should be compatible with brane transportation [49] in the B-brane category.”