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Kahler-Einstein met...
Kahler-Einstein metrics emerging from free fermions and statistical mechanics
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- Berman, Robert, 1976 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2011
- 2011
- Engelska.
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Ingår i: Journal of High Energy Physics. - 1126-6708 .- 1029-8479. ; :10
- Relaterad länk:
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http://dx.doi.org/10...
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Abstract
Ämnesord
Stäng
- We propose a statistical mechanical derivation of Kithler-Einstein metrics, i.e. solutions to Einstein's vacuum field equations in Euclidean signature (with a cosmological constant) on a compact Kahler manifold X. The microscopic theory is given by a canonical free fermion gas on X whose one-particle states are pluricanonical holomorphic sections on X (coinciding with higher spin states in the case of a Riemann surface) defined in background free manner. A heuristic, but hopefully physically illuminating, argument for the convergence in the thermodynamical (large N) limit is given, based on a recent mathematically rigorous result about exponentially small fluctuation's of Slater determinants. Relations to higher-dimensional effective bosonization, the Yau-Tian-Donaldson program in Kahler geometry and quantum gravity are explored. The precise mathematical details will be investigated elsewhere.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Nyckelord
- Models of Quantum Gravity
- Differential and Algebraic Geometry
- Statistical Methods
- Matrix Models
- projective embeddings
- scalar curvature
- complex-surfaces
- bosonization
- manifolds
- equations
- spacetime
- foam
- Statistical Methods
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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