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- Title
Quantum Flag Manifold σ-Models and Hermitian Ricci Flow.
- Authors
Bykov, Dmitri
- Abstract
We show that flag manifold σ -models (including C P n - 1 , Grassmannian models as special cases) and their deformed versions may be cast in the form of gauged bosonic Thirring/Gross-Neveu-type systems. Quantum mechanically the gauging is violated by chiral anomalies, which may be cancelled by adding fermions. We conjecture that such models are integrable and check on some examples that the trigonometrically deformed geometries satisfy the generalized Ricci flow equations.
- Subjects
FERMIONS; HERMITIAN forms; GAGING; RICCI flow
- Publication
Communications in Mathematical Physics, 2023, Vol 401, Issue 1, p1
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-022-04532-5