Fetching the paper…
Reading the bibliography…
We discuss from a geometric point of view the connection between the renormalization group flow for non--linear sigma models and the Ricci flow.
A. Lichnerowicz, Propagateurs et commutateurs en relativit e ´ \acute{e} g e ´ \acute{e} n e ´ \acute{e} rale
1961
Earlier work this paper cites.
D. Friedan Nonlinear Models in 2 , + ϵ 2,+\epsilon Dimensions
1980
Earlier work this paper cites.
D. Friedan Nonlinear Models in 2 + ϵ 2+\epsilon Dimensions
1980
Earlier work this paper cites.
R. S. Hamilton, Three-manifolds with positive Ricci curvature
1982
Earlier work this paper cites.
W. P. Thurston, Three-dimensiional manifolds, Kleinian groups and hyperbolic geometry
1982
Earlier work this paper cites.
D. DeTurck, Deforming metrics in the direction of their Ricci tensor
1983
Earlier work this paper cites.
D. Friedan Nonlinear Models in 2 + ϵ 2+\epsilon Dimensions
1985
Earlier work this paper cites.
E.S. Fradkin and A.A. Tseytlin, Effective field theory from quantized strings
1985
Earlier work this paper cites.
E.S. Fradkin and A.A. Tseytlin, Quantum string theory effective action
1985
Earlier work this paper cites.
A.A. Tseytlin, Conformal anomaly in two-dimensional sigma model on curved background and strings
1986
Earlier work this paper cites.
A. B. Zamolodchikov, Irreversibility of the flux of the renormalization group in a 2-D field theory
1986
Earlier work this paper cites.
G. M. Shore, A local renormalization group equation, diffeomorphisms, and conformal invariance in sigma models
1987
Earlier work this paper cites.
A.A. Tseytlin, Sigma model Weyl invariance conditions and string equations of motion
1987
Earlier work this paper cites.
A. Cappelli, D. Friedan, J. I. Latorre, c-theorem and spectral representation
1991
Cited alongside, same era.
B. K. Driver, A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact manifold
1992
Cited alongside, same era.
V. A. Fateev, E. Onofri and A.B. Zamolodchikov, The sausage model
1993
Cited alongside, same era.
P. B. Gilkey, Invariance Theory, The Heat Equation, and The Atiyah–Singer Index Theorem
1994
Cited alongside, same era.
R. S. Hamilton, The formation of singularities in the Ricci flow
1995
Cited alongside, same era.
W. P. Thurston, Three-dimensiional geometry and topology
1997
Cited alongside, same era.
H-D. Cao, Recent progress on Ricci solitons
2006
Later among the works it cites.
B. Chow, P. Lu, L. Ni, Hamilton’s Ricci flow
2006
Later among the works it cites.
J. Gegenberg, V. Suneeta, The Fixed Points of RG Flow with a Tachyon
2006
Later among the works it cites.
T Oliynyk, V Suneeta, E Woolgar A Gradient Flow for Worldsheet Nonlinear Sigma Models
2006
Later among the works it cites.
I. Bakas, C. Sourdis Dirichlet sigma models and mean curvature flow
2007
Later among the works it cites.
B. Chow, S-C. Chu, D. Glickenstein, C. Guenther, J. Isenberg, T. Ivey, D. Knopf, P. Lu, L. Ni, The Ricci Flow: Techniques and Applications: PartI: Geometric Aspects
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
K. Gawedzki, Lectures on conformal field theory
1999
Cited alongside, same era.
M. Simon Deformation of C 0 C^{0} Riemannian metrics in the direction of their Ricci curvature
2002
Cited alongside, same era.
R. Leandre, Stochastic Wess-Zumino-Novikov-WItten model on the torus
2003
Cited alongside, same era.
B. Chow, D. Knopf, The Ricci Flow: An Introduction
2004
Cited alongside, same era.
G. Anderson, B. Chow, A pinching estimate for solutions of the linearized Ricci flow system on 3–manifolds
2005
Cited alongside, same era.
I. Bakas, Geometric flows and (some of) their physical applications
2005
Cited alongside, same era.
2007
Later among the works it cites.
A.A. Tseytlin, On sigma model RG flow, ”central charge” action and Perelman’s entropy
2007
Later among the works it cites.
C. Guenther, T. A. Oliynyk, Renormalization Group Flow for Nonlinear Sigma Models
2008
Later among the works it cites.
L. Ni and N. Wallach, On a classification of gradient shrinking solitons
2008
Later among the works it cites.
J. Weitsman, Measures on Banach manifolds and supersymmetric quantum field theories
2008
Later among the works it cites.
M. Carfora and S. Romano, Quantum fluctuations and geometry: from graph counting to Ricci flow
2009
Later among the works it cites.
M. R. Douglas, Spaces of quantum field theories
2009
Later among the works it cites.
L. Ni, Closed type-I ancient solutions to Ricci flow
2009
Later among the works it cites.