2,549 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
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
(8,0) Quantum mechanics and symmetry enhancement in type I' superstrings
The low-energy supersymmetric quantum mechanics describing D-particles in the
background of D8-branes and orientifold planes is analyzed in detail, including
a careful discussion of Gauss' law and normal ordering of operators. This
elucidates the mechanism that binds D-particles to an orientifold plane, in
accordance with the predictions of heterotic/type I duality. The ocurrence of
enhanced symmetries associated with massless bound states of a D-particle with
one orientifold plane is illustrated by the enhancement of
to and to at strong type I' coupling.
Enhancement to higher-rank groups involves both orientifold planes. For
example, the enhanced symmetry at the self-dual
radius of the heterotic string is seen as the result of two D8-branes
coinciding midway between the orientifold planes, while the enhanced
symmetry results from the coincidence of all sixteen D8-branes and
when they also coincide with an orientifold plane. As a separate by-product,
the s-rule of brane-engineered gauge theories is derived by relating it through
a chain of dualities to the Pauli exclusion principle.Comment: 30 pages LaTeX, Five figures. Two references added as well as some
Comments in section4. v4: Missing backslashes added to four reference
citations
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