3,167 research outputs found
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
Moduli Anomalies and Local Terms in the Operator Product Expansion
Local terms in the Operator Product Expansion in Superconformal Theories with
extended supersymmetry are identified. Assuming a factorized structure for
these terms their contributions are discussed.Comment: 24 pages, 2 figures, v2: footnote and reference adde
Comments on the Algebraic Properties of Dilaton Actions
We study the relation between the dilaton action and sigma models for the
Goldstone bosons of the spontaneous breaking of the conformal group. We argue
that the relation requires that the sigma model is diffeomorphism invariant.
The origin of the WZW terms for the dilaton is clarified and it is shown that
in this approach the dilaton WZW term is necessarily accompanied by a Weyl
invariant term proposed before from holographic considerations.Comment: 19 page
Gauge Field Improvement,Form-Scalar Duality and Conformal Invariance
The problem of maintaining scale and conformal invariance in Maxwell and
general N-form gauge theories away from their critical dimension d=2(N+1) is
analyzed.We first exhibit the underlying group-theoretical clash between
locality,gauge,Lorentz and conformal invariance require- ments. "Improved"
traceless stress tensors are then constructed;each violates one of the above
criteria.However,when d=N+2,there is a duality equivalence between N-form
models and massless scalars.Here we show that conformal invariance is not
lost,by constructing a quasilocal gauge invariant improved stress tensor.The
correlators of the scalar theory are then reproduced,including the latter's
trace anomaly.Comment: 8 pages ,CERN-TH.7224 IAS 94/2
Numerical determination of entanglement entropy for a sphere
We apply Srednicki's regularization to extract the logarithmic term in the
entanglement entropy produced by tracing out a real, massless, scalar field
inside a three dimensional sphere in 3+1 flat spacetime. We find numerically
that the coefficient of the logarithm is -1/90 to 0.2 percent accuracy, in
agreement with an existing analytical result
Chern-Simons Gravity and Holographic Anomalies
We present a holographic treatment of Chern-Simons (CS) gravity theories in
odd dimensions. We construct the associated holographic stress tensor and
calculate the Weyl anomalies of the dual CFT.Comment: Added references, and minor corrections. 21 pages, havmac, no figure
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