79 research outputs found
Supersymmetric Renyi Entropy and Anomalies in Six-Dimensional (1,0) Superconformal Theories
A closed formula of the universal part of supersymmetric R\'enyi entropy
for six-dimensional superconformal theories is proposed. Within
our arguments, across a spherical entangling surface is a cubic
polynomial of , with coefficients expressed as linear combinations
of the 't Hooft anomaly coefficients for the -symmetry and gravitational
anomalies. As an application, we establish linear relations between the
-type Weyl anomalies and the 't Hooft anomaly coefficients. We make a
conjecture relating the supersymmetric R\'enyi entropy to an equivariant
integral of the anomaly polynomial in even dimensions and check it against
known data in four dimensions and six dimensions.Comment: 1+27 pages, v2: references added+typos fixed. arXiv admin note: text
overlap with arXiv:1512.0300
Conformal Anomalies in Hydrodynamics
We study the effect of conformal anomalies on the hydrodynamic description of
conformal field theories in even spacetime dimensions. We consider equilibrium
curved backgrounds characterized by a time-like Killing vector and construct a
local low energy effective action that captures the conformal anomalies. Using
as a special background the Rindler spacetime we derive a formula for the
anomaly effect on the hydrodynamic pressure. We find that this anomalous effect
is only due to the Euler central charge.Comment: 19 pages; v3: improved discussion in Section II C, fixed typos; v2:
significant update- results generalized to any dimension, references adde
Duality and other Exotic Gauge Dynamics in Softly Broken Supersymmetric QCD
We analyze the theory of softly broken supersymmetric . Exotic behavior
like spontaneously broken baryon number, massless composite fermions and
Seiberg's duality seems to persist also in the presence of (small) soft
supersymmetry breaking. We argue that certain, specially tailored, lattice
simulations may be able to detect the novel phenomena. Most of the exotic
behavior does not survive the decoupling limit of large SUSY breaking
parameters.Comment: 13 page
Spontaneous breaking in QCD and the axion potential: an effective Lagrangian approach
Using the well-known low-energy effective Lagrangian of QCD --valid for small
(non-vanishing) quark masses and a large number of colors-- we study in detail
the regions of parameter space where is spontaneously broken/unbroken for
a vacuum angle . In the -broken region there are first order
phase transitions as one crosses , while on the (hyper)surface
separating the two regions, there are second order phase transitions signaled
by the vanishing of the mass of a pseudo Nambu-Goldstone boson and by a
divergent QCD topological susceptibility. The second order point sits at the
end of a first order line associated with the spontaneous breaking, in the
appropriate complex parameter plane. When the effective Lagrangian is extended
by the inclusion of an axion these features of QCD imply that standard
calculations of the axion potential have to be revised when the QCD parameters
fall in the above mentioned -broken region, in spite of the fact that the
axion solves the strong- problem. These latter results could be of interest
for axionic dark matter calculations if the topological susceptibility of pure
Yang-Mills theory falls off sufficiently fast when temperature is increased
towards the QCD deconfining transition.Comment: 36 pages, 10 figures, Typos corrected, References added, Figures
improved, Discussion clarifie
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