Fazzi, M. orcid.org/0000-0001-9625-7991, Giri, S. and Levy, P. (Submitted: 2023) Proving the 6d a-theorem with the double affine Grassmannian. [Preprint - arXiv] (Submitted)
Abstract
This paper contains two results of independent interest, the first being more mathematical in nature whereas the second more physical. We first show that the hierarchy of Higgs branch RG flows between the 6d (1,0) SCFTs known as A-type orbi-instantons is given by the Hasse diagram of certain strata and transverse slices in the double affine Grassmannian of E8. Secondly, we leverage the partial order naturally defined on this Hasse diagram to prove the a-theorem for orbi-instanton Higgs branch RG flows, thereby exhausting the list of c-theorems in the even-dimensional (supersymmetric) setting.
Metadata
Item Type: | Preprint |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2023 The Author(s). This preprint is made available under a Creative Commons Attribution 4.0 International License. (https://creativecommons.org/licenses/by/4.0/) |
Keywords: | hep-th; hep-th; math.AG; math.RT |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 19 Apr 2024 10:17 |
Last Modified: | 19 Apr 2024 10:17 |
Status: | Submitted |
Identification Number: | 10.48550/arXiv.2312.17178 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:211644 |