119,523 research outputs found
Dyonic Integrable Models
A class of non abelian affine Toda models arising from the axial gauged
two-loop WZW model is presented. Their zero curvature representation is
constructed in terms of a graded Kac-Moody algebra. It is shown that the
discrete multivacua structure of the potential together with non abelian nature
of the zero grade subalgebra allows soliton solutions with non trivial electric
and topological charges.
The dressing transformation is employed to explicitly construct one and two
soliton solutions and their bound states in terms of the tau functions. A
discussion of the classical spectra of such solutions and the time delays are
given in detail.Comment: Latex 30 pages, corrected some typo
Conservation laws arising in the study of forward-forward Mean-Field Games
We consider forward-forward Mean Field Game (MFG) models that arise in
numerical approximations of stationary MFGs. First, we establish a link between
these models and a class of hyperbolic conservation laws as well as certain
nonlinear wave equations. Second, we investigate existence and long-time
behavior of solutions for such models
Juan Baños de Velasco y Acevedo - Emblems in Everyday Life
A research note on a new acquisition for the Stirling Maxwell Collection of Emblem Books, held at the Special Collections department of the University of Glasgow. This was part of a round table on various other items in this recent acquisition.
This research note explores different perspectives that add value to this work, namely the close association of this Spanish work with D. Juan de Austria (its dedicatee) and Portugal
Exact holography and black hole entropy in N=8 and N=4 string theory
We compute the exact entropy of one-eighth and one-quarter BPS black holes in
N=8 and N=4 string theory respectively. This includes all the N=4 CHL models in
both K3 and T^4 compactifications. The main result is a measure for the finite
dimensional integral that one obtains after localization of supergravity on
AdS_2xS^2. This measure is determined entirely by an anomaly in supersymmetric
Chern-Simons theory on local AdS_3 and takes into account the contribution from
all the supergravity multiplets. In Chern-Simons theory on compact manifolds
this is the anomaly that computes a certain one-loop dependence on the volume
of the manifold. For one-eighth BPS black holes our results are a first
principles derivation of a measure proposed in arXiv:1111.1161, while in the
case of one-quarter BPS black holes our result computes exactly all the
perturbative or area corrections. Moreover, we argue that instantonic
contributions can be incorporated and give evidence by computing the measure
which matches precisely the microscopics. Along with this, we find an unitary
condition that truncates the answer to a finite sum of instantons in perfect
agreement with a microscopic formula. Our results solve a number of puzzles
related to localization in supergravity and constitute a larger number of
examples where holography can be shown to hold exactly.Comment: 49 pages; clarifications in the discussion of section 4.3, results
unchanged; other minor typos correcte
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