231 research outputs found
Irreversibility of the Renormalization Group Flow in Two Dimensional Quantum Gravity
We argue that the torus partition sum in (super) gravity, which counts
physical states in the theory, is a decreasing function of the renormalization
group scale. As an application we chart the space of
models coupled to (super) gravity, confirming and extending ideas due to A.
Zamolodchikov, and discuss briefly string theory, where our results imply that
the number of degrees of freedom decreases with time.Comment: 14 pages, PUPT-133
Lagrange Multipliers and Couplings in Supersymmetric Field Theory
In hep-th/0312098 it was argued that by extending the ``-maximization'' of
hep-th/0304128 away from fixed points of the renormalization group, one can
compute the anomalous dimensions of chiral superfields along the flow, and
obtain a better understanding of the irreversibility of RG flow in four
dimensional supersymmetric field theory. According to this proposal, the role
of the running couplings is played by certain Lagrange multipliers that are
introduced in the construction. We show that one can choose a parametrization
of the space of couplings in which the Lagrange multipliers can indeed be
identified with the couplings, and discuss the consequences of this for weakly
coupled gauge theory.Comment: 13 pages, harvma
Supersymmetric Renyi Entropy in and
We show that in any two dimensional conformal field theory with (2, 2)
supersymmetry one can define a supersymmetric analog of the usual Renyi entropy
of a spatial region A. It differs from the Renyi entropy by a universal
function (which we compute) of the central charge, Renyi parameter n and the
geometric parameters of A. In the limit it coincides with the
entanglement entropy. Thus, it contains the same information as the Renyi
entropy but its computation only involves correlation functions of chiral and
anti-chiral operators. We also show that this quantity appears naturally in
string theory on .Comment: 15 pages; v2: reference adde
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