Ricci flows and infinite dimensional algebras

Fortschritte der Physik

Volumn 52, Issue 6-7, 2004, Pages 464-471

  Bakas, I ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4644240195     PISSN: 00158208     EISSN: None     Source Type: Journal    
DOI: 10.1002/prop.200410131     Document Type: Conference Paper

References (12)

1. A. M. Polyakov, Gauge Fields and Strings, Contemporary Concepts in Physics, Vol. 3 (Harwood Academic Publishers), Chur, 1987.
2. I. Bakas, Renormalization group flows and continual Lie algebras, JHEP 0308, 013 (2003).
3. D. Friedan, Nonlinear models in 2 + ε dimensions, Ann. Phys. 134, 85 (1981).
4. H.-D. Cao and B. Chow, Recent developments on the Ricci flow, Bull. Am. Math. Soc. 36, 59 (1999).
5. M. Saveliev and A. M. Vershik, Continual analogs of contragradient Lie algebras (Lie algebras with a Cartan operator and nonlinear dynamical systems), Commun. Math. Phys. 126, 367 (1989).
6. V.A. Fateev, E. Onofri, and Al.B. Zamolodchikov, Integrable deformations of the O(3) sigma model. The sausage model, Nucl. Phys. B406, [FS] 521 (1993).
7. A. Adams, J. Polchinski, and E. Silverstein, Don't panic! Closed string tachyons in ALE space-times, JHEP 0110, 029 (2001).
8. M. Gutperle, M. Headrick, S. Minwalla, and V. Schomerus, Space-time energy decreases under world-sheet RG flow, JHEP 0301, 073 (2003).
9. R. Gregory and J. Harvey, Space-time decay of cones at strong coupling, Class. Quantum Gravity 20, L231 (2003).
10. C. Gundlach, Critical phenomena in gravitational collapse, Phys. Rep. 376, 339 (2003).
11. A.B. Zamolodchikov, Irreversibility of the flux of the renormalization group in 2D field theory, JETP Lett. 43, 730 (1986).
12. G. Perelman, The entropy formula for the Ricci flow and its geometric applications, math.DG/0211159.