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24 papers · 1 filter
Spinning deformations of the D1-D5 system and a geometric resolution of Closed Timelike Curves
Carlos A. R. Herdeiro
The SO(4) isometry of the extreme Reissner-Nordstrom black hole of N=1, D=5 supergravity can be partly broken, without breaking any supersymmetry, in two different ways. The ``righ…
Metric structure of random networks
S. N. Dorogovtsev, J. F. F. Mendes, A. N. Samukhin
We propose a consistent approach to the statistics of the shortest paths in random graphs with a given degree distribution. This approach goes further than a usual tree ansatz and…
Mesoscopics and fluctuations in networks
S. N. Dorogovtsev, A. N. Samukhin
We describe fluctuations in finite-size networks with a complex distribution of connections, . We show that the spectrum of fluctuations of the number of vertices with a give…
Topological Defects in Contracting Universes
P. P. Avelino, C. J. A. P. Martins, C. Santos +1
We study the behaviour and consequences of cosmic string networks in contracting universes. They approximately behave during the collapse phase as a radiation fluids. Scaling solut…
Surface group representations in PU(p,q) and Higgs bundles
Steven B. Bradlow, Oscar Garcia-Prada, Peter B. Gothen
Using the L^2 norm of the Higgs field as a Morse function, we study the moduli spaces of U(p,q)-Higgs bundles over a Riemann surface. We require that the genus of the surface be at…
Moduli spaces of holomorphic triples over compact Riemann surfaces
Steven B. Bradlow, Oscar Garcia-Prada, Peter B. Gothen
A holomorphic triple over a compact Riemann surface consists of two holomorphic vector bundles and a holomorphic map between them. After fixing the topological types of the bundles…