Results 1 to 10 of about 45,828 (171)

On the pointwise convergence of the integral kernels in the Feynman-Trotter formula [PDF]

, 2019
We study path integrals in the Trotter-type form for the Schr\"odinger equation, where the Hamiltonian is the Weyl quantization of a real-valued quadratic form perturbed by a potential $V$ in a class encompassing that - considered by Albeverio and It\^o ...
Nicola, Fabio, Trapasso, S. Ivan
core   +2 more sources

Alternative sets of hyperspherical harmonics: Satisfying cusp conditions through frame transformations [PDF]

, 1999
By extending the concept of Euler-angle rotations to more than three dimensions, we develop the systematics under rotations in higher-dimensional space for a novel set of hyperspherical harmonics.
Dmitry Green, Smirnov Yu. F., Thomas A. Heim   +2 more
core   +3 more sources

New Dimensions for Wound Strings: The Modular Transformation of Geometry to Topology [PDF]

, 2006
We show, using a theorem of Milnor and Margulis, that string theory on compact negatively curved spaces grows new effective dimensions as the space shrinks, generalizing and contextualizing the results in hep-th/0510044. Milnor's theorem relates negative
A. Manning, B. Pioline, D. Knopf, David Starr, E. Witten, Eva Silverstein, J. Isenberg, J. Milnor, J. Polchinski, John McGreevy, N. A. Nekrasov, P. de la Harpe, Robert E. Gompf   +12 more
core   +5 more sources

Geometric renormalization of large energy wave maps [PDF]

, 2004
There has been much progress in recent years in understanding the existence problem for wave maps with small critical Sobolev norm (in particular for two-dimensional wave maps with small energy); a key aspect in that theory has been a renormalization ...
Tao, Terence
core   +3 more sources

Modified Landau levels, damped harmonic oscillator and two-dimensional pseudo-bosons [PDF]

, 2010
In a series of recent papers one of us has analyzed in some details a class of elementary excitations called {\em pseudo-bosons}. They arise from a special deformation of the canonical commutation relation $[a,a^\dagger]=\1$, which is replaced by $[a,b]=\
F. Bagarello, Jean Pierre Gazeau, S. Twareque Ali, Young R.   +3 more
core   +5 more sources

Ghost-Free de Sitter Supergravities as Consistent Reductions of String and M-theory [PDF]

, 2004
We study properties of supergravity theories with non-compact gaugings, and their higher-dimensional interpretations via consistent reductions on the inhomogeneous non-compact hyperboloidal spaces {\cal H}^{p,q}.
Behrndt, Behrndt, C.N. Pope, Cvetič, Cvetič, Cvetič, Cvetič, Cvetič, Cvetič, Cvetič, Cvetič, Cvetič, de Wit, Duff, Freedman, Fré, G.W. Gibbons, Gibbons, Hull, Hull, Hull, Kallosh, Kastor, Klemm, Lü, Lü, M. Cvetič, Nastase, Park, Salam   +29 more
core   +3 more sources

The effective action of Type IIA Calabi-Yau orientifolds [PDF]

, 2005
The N=1 effective action for generic type IIA Calabi-Yau orientifolds in the presence of background fluxes is computed from a Kaluza-Klein reduction. The Kahler potential, the gauge kinetic functions and the flux-induced superpotential are determined in ...
Acharya, Acharya, Aldazabal, Andrianopoli, Andrianopoli, Andrianopoli, Angelantonj, Angelantonj, Angelantonj, Bachas, Balasubramanian, Barbieri, Beasley, Becker, Becker, Becker, Berkooz, Bershadsky, Bianchi, Bianchi, Binetruy, Blumenhagen, Blumenhagen, Blumenhagen, Bodner, Bouchard, Brunner, Brunner, Burgess, Candelas, Cecotti, Ceresole, Chiossi, Craps, Cremmer, Cremmer, Curio, Curio, Cvetic, Cámara, Cámara, D'Auria, D'Auria, Dabholkar, Dai, Dasgupta, Diaconescu, Dijkgraaf, Ellis, Ferrara, Ferrara, Fidanza, Font, Freed, Gates, Giddings, Gimon, Giryavets, Grana, Graña, Graña, Grimm, Gukov, Gukov, Gukov, Gurrieri, Gutowski, Haack, Harvey, Hitchin, Hitchin, Horava, Hosono, Ibáñez, Jan Louis, Jockers, Joyce, Kachru, Kachru, Kiritsis, Körs, Lawrence, Lawrence, Leigh, Linde, Louis, Lüst, Lüst, Lüst, Lüst, Marino, Mayr, Nekrasov, Nekrasov, Papadopoulos, Polchinski, Polchinski, Polchinski, Romans, Sagnotti, Sinha, Smet, Strominger, Strominger, Strominger, Suzuki, Taylor, Thomas W. Grimm, Tian, Uranga, Wess, Witten, Witten   +112 more
core   +2 more sources

A non-linear Oscillator with quasi-Harmonic behaviour: two- and $n$-dimensional Oscillators

, 2004
A nonlinear two-dimensional system is studied by making use of both the Lagrangian and the Hamiltonian formalisms. The present model is obtained as a two-dimensional version of a one-dimensional oscillator previously studied at the classical and also at ...
Ballesteros A, Bessis N, Bose S K, Cariñena J F, Cariñnena J F, De R, Evans N W, Grosche C, Grosche C, Grosche C, Higgs P W, José F Cariñena, Kalnins E G, Kalnins E G, Kaushal R S, Lakshmanan M, Lakshmanan M, Leemon H I, Lévy-Leblond J M, Manuel F Rañada, Mariano Santander, Mathews P M, Mathews P M, Mitra A K, Murugaian Senthilvelan, Nishijima K, Perelomov A M, Rauch-Wojciechowski S, Ravoson V, Rañada M F, Rañada M F, Rañada M F, Sarlet W, Velo G   +33 more
core   +1 more source

Metric duality between positive definite kernels and boundary processes

, 2017
We study representations of positive definite kernels $K$ in a general setting, but with view to applications to harmonic analysis, to metric geometry, and to realizations of certain stochastic processes.
Jorgensen, Palle, Tian, Feng
core   +1 more source

Metrics Admitting Killing Spinors In Five Dimensions [PDF]

, 1998
BPS black hole configurations which break half of supersymmetry in the theory of N=2, d=5 supergravity coupled to an arbitrary number of abelian vector multiplets are discussed.
Chamseddine, A. H., Sabra, W. A.
core   +3 more sources