(LAR1:gu) lar1:(cth) pers:(Berman Robert 1976) conttype:(refereed)
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- Berman, Robert,1976Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology (author)
Kahler-Einstein metrics emerging from free fermions and statistical mechanics
- Article/chapterEnglish2011
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- 2011
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- LIBRIS-ID:oai:gup.ub.gu.se/150866
- https://gup.ub.gu.se/publication/150866URI
- https://doi.org/10.1007/JHEP10(2011)106DOI
- https://research.chalmers.se/publication/150866URI
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- Language:English
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- 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.
Subject headings and genre
- NATURVETENSKAP Fysik hsv//swe
- NATURAL SCIENCES Physical Sciences hsv//eng
- 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
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- Göteborgs universitetInstitutionen för matematiska vetenskaper, matematik (creator_code:org_t)
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- In:Journal of High Energy Physics:101126-67081029-8479
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