50 research outputs found
The star-triangle relation and 3d superconformal indices
Superconformal indices of 3d N=2 supersymmetric field theories are
investigated from the Yang-Baxter equation point of view. Solutions of the
star-triangle relation, vertex and IRF Yang-Baxter equations are expressed in
terms of the q-special functions associated with these 3d indices. For a
two-dimensional monopole-spin system on the square lattice a free energy per
spin is explicitly determined. Similar to the partition functions,
superconformal indices of 3d theories with the chiral symmetry breaking reduce
to Dirac delta functions with the support on chemical potentials of the
preserved flavor groups.Comment: 20 pages, v2: minor corrections, comments and refs. adde
A remark on the trace-map for the Silver mean sequence
In this work we study the Silver mean sequence based on substitution rules by
means of a transfer-matrix approach. Using transfer-matrix method we find a
recurrence relation for the traces of general transfer-matrices which
characterizes electronic properties of the quasicrystal in question. We also
find an invariant of the trace-map.Comment: 5 pages, minor improvements in style and presentation of calculation
Energy loss in a strongly coupled anisotropic plasma
We study the energy loss of a rotating infinitely massive quark moving, at
constant velocity, through an anisotropic strongly-coupled N=4 plasma from
holography. It is shown that, similar to the isotropic plasma, the energy loss
of the rotating quark is due to either the drag force or radiation with a
continuous crossover from drag-dominated regime to the radiation dominated
regime. We find that the anisotropy has a significant effect on the energy loss
of the heavy quark, specially in the crossover regime. We argue that the energy
loss due to radiation in anisotropic media is less than the isotropic case.
Interestingly this is similar to analogous calculations for the energy loss in
weakly coupled anisotropic plasma.Comment: 26+1 pages, 10 figures, typos fixe
3d N = 2 mirror symmetry, pq-webs and monopole superpotentials
D3 branes stretching between webs of (p,q) 5branes provide an interesting
class of 3d N=2 theories. For generic pq-webs however the low energy field
theory is not known. We use 3d mirror symmetry and Type IIB S-duality to
construct Abelian gauge theories corresponding to D3 branes ending on both
sides of a pq-web made of many coincident NS5's intersecting one D5. These
theories contain chiral monopole operators in the superpotential and enjoy a
non trivial pattern of global symmetry enhancements. In the special case of the
pq-web with one D5 and one NS5, the 3d low energy SCFT admits three dual
formulations. This triality can be applied locally inside bigger quiver gauge
theories. We prove our statements using partial mirror symmetry `a la
Kapustin-Strassler, showing the equality of the S^3_b partition functions and
studying the quantum chiral rings
Anomalous Transport from Kubo Formulae
Chiral anomalies have profound impact on the transport properties of
relativistic fluids. In four dimensions there are different types of anomalies,
pure gauge and mixed gauge-gravitational anomalies. They give rise to two new
non-dissipative transport coefficients, the chiral magnetic conductivity and
the chiral vortical conductivity. They can be calculated from the microscopic
degrees of freedom with the help of Kubo formulae. We review the calculation of
the anomalous transport coefficients via Kubo formulae with a particular
emphasis on the contribution of the mixed gauge-gravitational anomaly.Comment: 36 pages, 4 figures, 1 table; to appear in Lect. Notes Phys.
"Strongly interacting matter in magnetic fields" (Springer), edited by D.
Kharzeev, K. Landsteiner, A. Schmitt, H.-U. Yee; v2 small changes in
introduction, added references; v3 corrected eq. (21) and added eq. (77),
added reference
Thermodynamics and phase diagram of anisotropic Chern-Simons deformed gauge theories
We consider 3+1-dimensional gauge theories at finite temperature and a finite
density of charges which couple to a 2+1-dimensional Chern-Simons operator,
giving rise to a theta-term with constant spatial gradient of theta. The
strong-coupling limit of thermal N=4 super-Yang-Mills theory with this kind of
anisotropic deformation has been used in the context of the AdS/CFT
correspondence as a model for strongly coupled anisotropic quark-gluon plasma.
In this paper we work out the thermodynamics and the (nontrivial) phase diagram
in the limit of vanishing gauge coupling and compare with the corresponding
strong-coupling results.Comment: 23 pages, 7 figures, v2: low temperature expansion corrected,
references added, some discussion expande