Results 111 to 120 of about 119,348 (277)

Exact Propagators for Soliton Potentials

Symmetry, Integrability and Geometry: Methods and Applications, 2005
Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schrödinger equation with a multi-soliton potential.
Andrey M. Pupasov, Boris F. Samsonov
doaj  

Link splitting deformation of colored Khovanov–Rozansky homology

Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.
Abstract We introduce a multiparameter deformation of the triply‐graded Khovanov–Rozansky homology of links colored by one‐column Young diagrams, generalizing the “y$y$‐ified” link homology of Gorsky–Hogancamp and work of Cautis–Lauda–Sussan. For each link component, the natural set of deformation parameters corresponds to interpolation coordinates on ...
Matthew Hogancamp, David E. V. Rose, Paul Wedrich   +2 more
wiley   +1 more source

Are N=1 and N=2 supersymmetric quantum mechanics equivalent?

, 2004
After recalling different formulations of the definition of supersymmetric quantum mechanics given in the literature, we discuss the relationships between them in order to provide an answer to the question raised in the title.Comment: 15 ...
Arai A, Bagchi B K, Berezin F A, Combescure M Gieres F, Cooper F, Cycon H L, Davies E B, Gieres F Lefrançois M, Junker G, Nicolai H, Pedersen S, Rau A R P, Rau A R P, Thaller B, Vasilescu F-H, Wess J, Witten E, Witten E   +17 more
core   +3 more sources

Iwahori‐metaplectic duality

Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.
Abstract We construct a family of solvable lattice models whose partition functions include p$p$‐adic Whittaker functions for general linear groups from two very different sources: from Iwahori‐fixed vectors and from metaplectic covers. Interpolating between them by Drinfeld twisting, we uncover unexpected relationships between Iwahori and metaplectic ...
Ben Brubaker, Valentin Buciumas, Daniel Bump, Henrik P. A. Gustafsson   +3 more
wiley   +1 more source

F-theory Yukawa Couplings and Supersymmetric Quantum Mechanics

, 2011
The localized fermions on the intersection curve $\Sigma$ of D7-branes, are connected to a N=2 supersymmetric quantum mechanics algebra. Due to this algebra the fields obey a global U(1) symmetry.
Aldazabal, Alim, Andreas, Aspinwall, Beasley, Beasley, Belhaj, Bershadsky, Bershadsky, Bianchi, Billo, Blumenhagen, Blumenhagen, Bonora, Bouchard, Boya, Braun, Braun, Braun, Callaghan, Cecotti, Chen, Chen, Chen, Chen, Chiou, Choi, Choi, Choi, Choi, Choi, Chung, Chung, Clingher, Collinucci, Collinucci, Combescure, Conlon, Cvetic, Cvetic, Denef, Diaconescu, Dolan, Donagi, Donagi, Donagi, Dudas, Dudas, Font, Font, Forste, Franco, Friedman, Gesztesy, Grimm, Grimm, Grimm, Grimm, Grimm, Harvey, Hayashi, Hayashi, Hayashi, Heckman, Heckman, Heckman, Junker, King, Klevers, Knapp, Kuflik, Leontaris, Leontaris, Li, Li, Li, Ludeling, Marchesano, Marsano, Marsano, Marsano, Marsano, Morrison, Morrison, Oikonomou, Oikonomou, Pashnev, Pawelczyk, Pawelczyk, Randall, Sebbar, Tatar, Tatar, Thaller, V.K. Oikonomou, Vafa, Weigand, Wijnholt   +97 more
core   +1 more source

Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms

Fortschritte der Physik, Volume 72, Issue 2, February 2024.
Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley   +1 more source

How to build a black hole out of instantons

Journal of High Energy Physics
An often fruitful route to study quantum gravity is the determination and study of quantum mechanical models — that is, models with finite degrees of freedom — that capture the dynamics of a black hole’s microstates.
Rishi Mouland
doaj   +1 more source

Applied Supersymmetry

East European Journal of Physics
Supersymmetry is one of the most important and indispensable ingredients of modern theoretical physics. However, the absence, at least at the time of publishing this review, of experimental verification of supersymmetry in elementary particle/high-energy
V.P. Berezovoj, A.J. Nurmagambetov
doaj   +1 more source

Supersymmetric anyon quantum mechanics

Physics Letters B, 1992
Abstract We develop a framework for anyons within supersymmetric quantum mechanics. We prove that supersymmetry can be realized spectrally but necessarily requires a contact interaction which modifies in a specific way the usual regularity condition of the wavefunction at the origin.
Pinaki Roy, Rolf Tarrach
openaire   +1 more source

Evolutionary Algorithms for Multi‐Center Solutions

Fortschritte der Physik, Volume 72, Issue 2, February 2024.
Abstract Large classes of multi‐center supergravity solutions have been constructed in the study of supersymmetric black holes and their microstates. Many smooth multi‐center solutions have the same charges as supersymmetric black holes, with all centers deep inside a long black‐hole‐like throat.
Sami Rawash, David Turton
wiley   +1 more source