9,992 research outputs found
Boundary Conformal Anomalies on Hyperbolic Spaces and Euclidean Balls
We compute conformal anomalies for conformal field theories with free
conformal scalars and massless spin fields in hyperbolic space
and in the ball , for . These
spaces are related by a conformal transformation. In even dimensional spaces,
the conformal anomalies on and are shown to
be identical. In odd dimensional spaces, the conformal anomaly on
comes from a boundary contribution, which exactly coincides
with that of provided one identifies the UV short-distance
cutoff on with the inverse large distance IR cutoff on
, just as prescribed by the conformal map. As an
application, we determine, for the first time, the conformal anomaly
coefficients multiplying the Euler characteristic of the boundary for scalars
and half-spin fields with various boundary conditions in and .Comment: 16 pages. V3: small correction
Free Surface RANSE Analisys Around Fixed Fully Appended
This paper presents results of Free Surface RANSE (Reynolds Average Navier Stokes Equations) simulations of the flow around a MedCup TP52. Appendages forces calculations are important to know their hydrodynamic characteristics when they work jointly. In the ETSIN towing tank, some tests had begun to measure hydrodynamics forces in each appendage that allowed evaluate the forces distribution in different conditions. StarCCM+ has been used to compute drag, lift and wave elevation. It is shown how the CFD analysis has been prepared and the results obtained in these simulations comparing experimental with numerical results and the grid influence on it. Finally, it is observed that with limited resources, reasonable good results could be obtained
Operator Mixing in Large Superconformal Field Theories on and Correlators with Wilson loops
We find a general formula for the operator mixing on the of
chiral primary operators (CPO) for the theory at large in
terms of Chebyshev polynomials. As an application, we compute the correlator of
a CPO and a Wilson loop, reproducing an earlier result by Giombi and Pestun
obtained from a two-matrix model proposal. Finally, we discuss a simple method
to obtain correlators in general superconformal field theories in
perturbation theory in terms of correlators of the theory.Comment: 15 pages, no figure
A limit for large -charge correlators in theories
Using supersymmetric localization, we study the sector of chiral primary
operators with large -charge in
four-dimensional superconformal theories in the weak coupling
regime , where is kept fixed as
, representing the gauge theory coupling(s). In this limit,
correlation functions of these operators behave in a simple way, with
an asymptotic behavior of the form , modulo
corrections, with for a gauge
algebra and a universal function . As a
by-product we find several new formulas both for the partition function as well
as for perturbative correlators in gauge theory
with fundamental hypermultiplets
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