184,924 research outputs found
Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
We continue to study 5d N=1 supersymmetric field theories and their
compactifications on a circle through brane configurations. We develop a model,
which we call (p,q) Webs, which enables simple geometrical computations to
reproduce the known results, and facilitates further study. The physical
concepts of field theory are transparent in this picture, offering an
interpretation for global symmetries, local symmetries, the effective (running)
coupling, the Coulomb and Higgs branches, the monopole tensions, and the mass
of BPS particles. A rule for the dimension of the Coulomb branch is found by
introducing Grid Diagrams. Some known classifications of field theories are
reproduced. In addition to the study of the vacuum manifold we develop methods
to determine the BPS spectrum. Some states, such as quarks, correspond to
instantons inside the 5-brane which we call strips. In general, these may not
be identified with (p,q) strings. We describe how a strip can bend out of a
5-brane, becoming a string. A general BPS state corresponds to a Web of strings
and strips. For special values of the string coupling a few strips can combine
and leave the 5-brane as a string.Comment: 72 pages, latex, 25 figures, references and small corrections adde
Analytic Evidence for Continuous Self Similarity of the Critical Merger Solution
The double cone, a cone over a product of a pair of spheres, is known to play
a role in the black-hole black-string phase diagram, and like all cones it is
continuously self similar (CSS). Its zero modes spectrum (in a certain sector)
is determined in detail, and it implies that the double cone is a co-dimension
1 attractor in the space of those perturbations which are smooth at the tip.
This is interpreted as strong evidence for the double cone being the critical
merger solution. For the non-symmetry-breaking perturbations we proceed to
perform a fully non-linear analysis of the dynamical system. The scaling
symmetry is used to reduce the dynamical system from a 3d phase space to 2d,
and obtain the qualitative form of the phase space, including a
non-perturbative confirmation of the existence of the "smoothed cone".Comment: 25 pages, 4 figure
Thermal Monopoles
Evidence is given that some particles with large charges in gauge theories,
including 4d N=4 SU(3) and 5d theories with N=1 supersymmetry, have macroscopic
entropy. The ground state entropy is found to be extensive in the charges. The
mass gap for excitation is estimated and is of the same order as the binding
energy. The question of the decay of excited states through Hawking radiation
is raised. The analysis is based on the model of (p,q) string webs and on
various other results. The evidence points to an explanation in terms of a
string model.Comment: 12 pages. JHEP modified version, see note added to introductio
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