Results 1 to 10 of about 29,661 (112)

On the central quadric ansatz: integrable models and Painleve reductions [PDF]

, 2012
It was observed by Tod and later by Dunajski and Tod that the Boyer-Finley (BF) and the dispersionless Kadomtsev-Petviashvili (dKP) equations possess solutions whose level surfaces are central quadrics in the space of independent variables (the so-called
A Zhang, B Huard, Calderbank D M J, Dryuma V, Dunajski M, E V Ferapontov, Ferapontov E V, Grundland A M, Huard B, Pavlov M V, Tod K P, Tsarev S P   +11 more
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T-Duality via Gerby Geometry and Reductions [PDF]

, 2015
We consider topological T-duality of torus bundles equipped with S^{1}-gerbes. We show how a geometry on the gerbe determines a reduction of its band to the subsheaf of S^{1}-valued functions which are constant along the torus fibres.
Bunke, Ulrich, Nikolaus, Thomas
core   +1 more source

Dispersionless integrable systems in 3D and Einstein-Weyl geometry [PDF]

, 2013
For several classes of second order dispersionless PDEs, we show that the symbols of their formal linearizations define conformal structures which must be Einstein-Weyl in 3D (or self-dual in 4D) if and only if the PDE is integrable by the method of ...
Ferapontov, Eugene, Kruglikov, Boris
core   +2 more sources

Selective Categories and Linear Canonical Relations [PDF]

, 2014
A construction of Wehrheim and Woodward circumvents the problem that compositions of smooth canonical relations are not always smooth, building a category suitable for functorial quantization.
Li-Bland, David, Weinstein, Alan
core   +4 more sources

Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras [PDF]

, 2006
The construction of a family of real Hamiltonian forms (RHF) for the special class of affine 1+1-dimensional Toda field theories (ATFT) is reported. Thus the method, proposed in [1] for systems with finite number of degrees of freedom is generalized to ...
Gerdjikov, Vladimir S., Grahovski, Georgi G.   +1 more
core   +4 more sources

Flux moduli stabilisation, Supergravity algebras and no-go theorems [PDF]

, 2010
We perform a complete classification of the flux-induced 12d algebras compatible with the set of N=1 type II orientifold models that are T-duality invariant, and allowed by the symmetries of the T^6/(Z_2 x Z_2) isotropic orbifold.
A Dabholkar, A Font, A Guarino, A Micu, Adolfo Guarino, B Wecht, Beatriz de Carlos, C Albertsson, C Caviezel, C Caviezel, CM Hull, CM Hull, CM Hull, CM Hull, D Roest, E Palti, E Silverstein, G Aldazabal, G Aldazabal, G Aldazabal, G Dall’Agata, G Dall’Agata, G Dall’Agata, G Villadoro, H Samtleben, J Scherk, J Scherk, J Schon, J Shelton, J Shelton, J-P Derendinger, Jesús M. Moreno, JP Derendinger, L Castellani, M Graña, M Graña, M Montigny de, MP Hertzberg, N Kaloper, P Manousselis, PG Camara, R Flauger, RA Reid-Edwards, S Kachru, SS Haque, UH Danielsson   +45 more
core   +2 more sources

The Gambier Mapping, Revisited

, 1998
We examine critically the Gambier equation and show that it is the generic linearisable equation containing, as reductions, all the second-order equations which are integrable through linearisation.
Grammaticos, B., Lafortune, S., Ramani, A.   +2 more
core   +1 more source

Selfdual 4-Manifolds, Projective Surfaces, and the Dunajski-West Construction [PDF]

, 2014
I present a construction of real or complex selfdual conformal 4-manifolds (of signature (2,2) in the real case) from a natural gauge field equation on a real or complex projective surface, the gauge group being the group of diffeomorphisms of a real or ...
Calderbank, David M. J.
core   +5 more sources

Classification and reduction to canonical form of linear differential equations partial of the sixth-order with non-multiple characteristics

Bulletin of the Karaganda University-Mathematics
This paper studies the problems of classification and reduction to canonical form of linear partial differential equations of the sixth-order with non-multiple characteristics and constant coefficients. Considering that with the growth of the order of the equation or the increase in the number of independent variables, the problems of classification ...
A.T. Abdukodirov, T.A. Tulkinboev
openaire   +1 more source

A generalization of the injectivity condition for Projected Entangled Pair States

, 2018
We introduce a family of tensor network states that we term semi-injective Projected Entangled-Pair States (PEPS). They extend the class of injective PEPS and include other states, like the ground states of the AKLT and the CZX models in square lattices.
Cirac, J. Ignacio, Ge, Yimin, Molnar, Andras, Schuch, Norbert   +3 more
core   +1 more source