Built on

G. Ecker and J. Honerkamp, Application of invariant renormalization to the nonlinear chiral invariant pion Lagrangian in the one-loop approximation
1972
Earlier work this paper cites.
D. Friedan, Nonlinear Models in Two Epsilon Dimensions
1985
Earlier work this paper cites.
T. L. Curtright and C. K. Zachos, Geometry, Topology and Supersymmetry in Nonlinear Models
1985
Earlier work this paper cites.
P. Forgacs, Z. Horvath and L. Palla, Spontaneous Compactification To Nonsymmetric Spaces
1986
Earlier work this paper cites.
D. Lüst, Compactification of Ten-dimensional Superstring Theories Over Ricci Flat Coset Spaces
1986
Earlier work this paper cites.
F. Müller-Hoissen and R. Stückl, Coset Spaces and Ten-dimensional Unified Theories
1988
Earlier work this paper cites.
A. LeClair, Chiral stabilization of the renormalization group for flavor and color anisotropic current interactions
2001
Earlier work this paper cites.
P. Manousselis and G. Zoupanos, Supersymmetry breaking by dimensional reduction over coset spaces
2001
Earlier work this paper cites.
C. Klimčík, YB sigma models and dS/AdS T-duality
2002
Earlier work this paper cites.

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2018

RG flows for $\lambda$-deformed CFTs

Sagkrioti, Eftychia, Sfetsos, Konstantinos, Siampos, Konstantinos

Understand

We study the renormalization group equations of the fully anisotropic $\lambda$-deformed CFTs involving the direct product of two current algebras at different levels $k_{1,2}$ for general semi-simple groups.

The exact, in the deformation parameters, $\beta$-function is found via the effective action of the quantum fluctuations around a classical background as well as from gravitational techniques.
Furthermore, agreement with known results for symmetric couplings and/or for equal levels, is demonstrated.
We study in detail the two coupling case arising by splitting the group into a subgroup and the corresponding coset manifold which consistency requires to be either a symmetric-space one or a non-symmetric Einstein-space.

Built on

G. Ecker and J. Honerkamp, Application of invariant renormalization to the nonlinear chiral invariant pion Lagrangian in the one-loop approximation
1972
Earlier work this paper cites.
D. Friedan, Nonlinear Models in Two Epsilon Dimensions
1985
Earlier work this paper cites.
T. L. Curtright and C. K. Zachos, Geometry, Topology and Supersymmetry in Nonlinear Models
1985
Earlier work this paper cites.
P. Forgacs, Z. Horvath and L. Palla, Spontaneous Compactification To Nonsymmetric Spaces
1986
Earlier work this paper cites.
D. Lüst, Compactification of Ten-dimensional Superstring Theories Over Ricci Flat Coset Spaces
1986
Earlier work this paper cites.
F. Müller-Hoissen and R. Stückl, Coset Spaces and Ten-dimensional Unified Theories
1988
Earlier work this paper cites.
A. LeClair, Chiral stabilization of the renormalization group for flavor and color anisotropic current interactions
2001
Earlier work this paper cites.
P. Manousselis and G. Zoupanos, Supersymmetry breaking by dimensional reduction over coset spaces
2001
Earlier work this paper cites.
C. Klimčík, YB sigma models and dS/AdS T-duality
2002
Earlier work this paper cites.