Results 1 to 10 of about 1,612,352 (68)

On the coset duals of extended higher spin theories [PDF]

, 2013
We study the holographic duality between the M x M matrix extension of Vasiliev higher spin theories on AdS3 and the large N limit of SU(N+M)/SU(N) x U(1) type cosets.
A Achucarro, A Campoleoni, A Campoleoni, A Proeyen Van, A Sevrin, C Ahn, C Ahn, C Ahn, C Ahn, C Candu, C Candu, C Candu, C Candu, C-M Chang, Carl Vollenweider, CN Pope, Constantin Candu, E Perlmutter, E Witten, ES Fradkin, ES Fradkin, ES Fradkin, H Weyl, IR Klebanov, J Boer de, J Boer de, JR David, K Hanaki, M Ammon, M Henneaux, MA Vasiliev, MA Vasiliev, MR Gaberdiel, MR Gaberdiel, MR Gaberdiel, MR Gaberdiel, MR Gaberdiel, MR Gaberdiel, MR Gaberdiel, MR Gaberdiel, O Aharony, O Aharony, P Bouwknegt, P Goddard, P Goddard, P Goddard, P Spindel, RC King, RC King, S Giombi, S Giombi, S Giombi, S Gukov, SF Prokushkin, T Creutzig, T Creutzig, T Creutzig, W Lerche, Y Hikida, Y Kazama   +59 more
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On the Reductions and Classical Solutions of the Schlesinger equations [PDF]

, 2006
The Schlesinger equations $S_{(n,m)}$ describe monodromy preserving deformations of order $m$ Fuchsian systems with $n+1$ poles. They can be considered as a family of commuting time-dependent Hamiltonian systems on the direct product of $n$ copies of $m ...
Dubrovin, B., Mazzocco, M.
core   +3 more sources

Complex (super)-matrix models with external sources and $q$-ensembles of Chern-Simons and ABJ(M) type [PDF]

, 2020
The Langmann-Szabo-Zarembo (LSZ) matrix model is a complex matrix model with a quartic interaction and two external matrices. The model appears in the study of a scalar field theory on the non-commutative plane.
Santilli, Leonardo, Tierz, Miguel
core   +2 more sources

Fourier PCA and Robust Tensor Decomposition [PDF]

, 2014
Fourier PCA is Principal Component Analysis of a matrix obtained from higher order derivatives of the logarithm of the Fourier transform of a distribution.We make this method algorithmic by developing a tensor decomposition method for a pair of tensors ...
Anandkumar A., Anandkumar A., Anderson J., Arora S., Belkin M., Belkin M., Cardoso J., Chaudhuri K., Comon P., Dasgupta S., Hyvärinen A., Kannan R.   +11 more
core   +1 more source

Extended supersymmetry in AdS_3 higher spin theories [PDF]

, 2014
We determine the asymptotic symmetry algebra (for fields of low spin) of the $M\times M$ matrix extended Vasiliev theories on AdS$_3$ and find that it agrees with the $\mathcal{W}$-algebra of their proposed coset duals. Previously it was noticed that for
Candu, Constantin, Peng, Cheng, Vollenweider, Carl   +2 more
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Geometric aspects of the symmetric inverse M-matrix problem

, 2015
We investigate the symmetric inverse M-matrix problem from a geometric perspective. The central question in this geometric context is, which conditions on the k-dimensional facets of an n-simplex S guarantee that S has no obtuse dihedral angles. First we
Brandts, Jan, Cihangir, Apo
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Power dissipation for systems with junctions of multiple quantum wires [PDF]

, 2010
We study power dissipation for systems of multiple quantum wires meeting at a junction, in terms of a current splitting matrix (M) describing the junction.
A. O. Gogolin, Amit Agarwal, Diptiman Sen, G. F. Giuliani, H. Bruus, J. Li, M. Oshikawa, S. Rao, Sourin Das, T. Giamarchi   +9 more
core   +3 more sources

Nonnegative definite hermitian matrices with increasing principal minors

, 2013
A nonzero nonnegative definite hermitian m by m matrix A has increasing principal minors if the value of each principle minor of A is not less than the value each of its subminors. For $m>1$ we show $A$ has increasing principal minors if and only if $A^{-
Friedland, Shmuel
core   +1 more source

Computing the Entropy of a Large Matrix

, 2014
Given a large real symmetric, positive semidefinite m-by-m matrix, the goal of this paper is to show how a numerical approximation of the entropy, given by the sum of the entropies of the individual eigenvalues, can be computed in an efficient way.
Bessire, Bänz, Stefanov, André, Wihler, Thomas P.   +2 more
core   +1 more source

Integral representation with weights II, division and interpolation

, 2005
Let $f$ be a $r\times m$-matrix of holomorphic functions that is generically surjective. We provide explicit integral representation of holomorphic $\psi$ such that $\phi=f\psi$, provided that $\phi$ is holomorphic and annihilates a certain residue ...
Andersson, Mats
core   +2 more sources