44,503 research outputs found
The generalized multi-channel Kondo model: Thermodynamics and fusion equations
The SU(N) generalization of the multi-channel Kondo model with arbitrary
rectangular impurity representations is considered by means of the Bethe
Ansatz. The thermodynamics of the model is analyzed by introducing modified
fusion equations for the impurity, leading to a simple description of the
different IR fixed points of the theory. The entropy at zero temperature is
discussed; in particular the overscreened case is explained in terms of quantum
group representation.Comment: 41 pages, 8 figures, harvma
Witten's Vertex Made Simple
The infinite matrices in Witten's vertex are easy to diagonalize. It just
requires some SL(2,R) lore plus a Watson-Sommerfeld transformation. We
calculate the eigenvalues of all Neumann matrices for all scale dimensions s,
both for matter and ghosts, including fractional s which we use to regulate the
difficult s=0 limit. We find that s=1 eigenfunctions just acquire a p term, and
x gets replaced by the midpoint position.Comment: 24 pages, 2 figures, RevTeX style, typos correcte
Monopole Operators in Chern-Simons-Matter Theories
We study monopole operators at the infrared fixed points of
Chern-Simons-matter theories (QED, scalar QED, SQED,
and SQED) with matter flavors and Chern-Simons level
. We work in the limit where both and are taken to be large with
fixed. In this limit, we extract information about the low-lying
spectrum of monopole operators from evaluating the partition
function in the sector where the is threaded by magnetic flux .
At leading order in , we find a large number of monopole operators with
equal scaling dimensions and a wide range of spins and flavor symmetry
irreducible representations. In two simple cases, we deduce how the degeneracy
in the scaling dimensions is broken by the corrections. For QED at
, we provide conformal bootstrap evidence that this near-degeneracy
is in fact maintained to small values of . For SQED, we
find that the lowest dimension monopole operator is generically non-BPS.Comment: 52 pages plus appendices, 9 figures, v2: minor correction
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