Published August 5, 2016
| Version Submitted
Discussion Paper
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The Verlinde formula for Higgs bundles
Abstract
We propose and prove the Verlinde formula for the quantization of the Higgs bundle moduli spaces and stacks for any simple and simply-connected group. This generalizes the equivariant Verlinde formula for the case of SU(n) proposed previously by the second and third author. We further establish a Verlinde formula for the quantization of parabolic Higgs bundle moduli spaces and stacks.
Additional Information
Date: August 8, 2016. Supported in part by the center of excellence grant "Center for Quantum Geometry of Moduli Space" from the Danish National Research Foundation (DNRF95), by the Walter Burke Institute for Theoretical Physics, and by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number de-sc0011632.Attached Files
Submitted - 1608.01761v1.pdf
Files
1608.01761v1.pdf
Additional details
Identifiers
- Eprint ID
- 69672
- Resolver ID
- CaltechAUTHORS:20160816-123626732
Related works
- Describes
- http://arxiv.org/abs/1608.01761 (URL)
Funding
- Danish National Research Foundation
- DNRF95
- Walter Burke Institute for Theoretical Physics, Caltech
- Department of Energy (DOE)
- DE-SC0011632
Dates
- Created
-
2016-08-16Created from EPrint's datestamp field
- Updated
-
2023-06-02Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Walter Burke Institute for Theoretical Physics , Mathematics Department
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2016-020