Results 41 to 50 of about 5,842 (96)

Advanced quantum and semiclassical methods for simulating photoinduced molecular dynamics and spectroscopy

WIREs Computational Molecular Science, Volume 14, Issue 5, September/October 2024.
Controling molecular processes using light. Abstract Molecular‐level understanding of photoinduced processes is critically important for breakthroughs in transformative technologies utilizing light, ranging from photomedicine to photoresponsive materials. Theory and simulation play a crucial role in this task.
Shirin Faraji, David Picconi, Elisa Palacino‐González   +2 more
wiley   +1 more source

The metaphysics science needs: Deleuze's naturalism

European Journal of Philosophy, Volume 32, Issue 3, Page 820-846, September 2024.
Abstract This article is aimed at those interested in the philosophy of Gilles Deleuze and the sciences—and this includes philosophers of science working out of the analytic tradition. Deleuze's writings are riddled with references to science and mathematics.
George Webster
wiley   +1 more source

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

Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model

, 2010
We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to a zero-dimensional 3-Lie algebra model and construct various stable solutions corresponding to quantized Nambu-Poisson manifolds.
A Connes, A Gustavsson, AB Hammou, C-S Chu, Christian Sämann, CR Nappi, D Tomino, D-s Bak, DE Berenstein, DN Blaschke, H Aoki, J Bagger, J Bagger, J Bagger, J DeBellis, J Gomis, J-H Park, JM Figueroa-O’Farrill, Joshua DeBellis, K Furuuchi, K Hosomichi, L Smolin, M Blau, M Sato, M Sato, MM Sheikh-Jabbari, N Ishibashi, N Seiberg, O Aharony, P Medeiros De, P Medeiros de, RC Myers, Richard J. Szabo, S Cherkis, S Halliday, S Iso, S Mukhi, SA Cherkis, T Azuma, T Azuma, T Banks, VO Rivelles, VT Filippov, Y Nambu, Z Guralnik   +44 more
core   +1 more source

Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry

, 2008
In this paper we derive the universal R-matrix for the Yangian Y(u(2|2)), which is an abstract algebraic object leading to rational solutions of the Yang-Baxter equation on representations.
A. Agarwal, A. Torrielli, B.I. Zwiebel, B.I. Zwiebel, B.I. Zwiebel, C. Ahn, C. Gomez, C. Krishnan, F. Spill, Fabian Spill, I. Heckenberger, J.A. Minahan, L. Dolan, L. Dolan, L. Freyhult, L.F. Alday, L.N. Lipatov, L.N. Lipatov, M. de Leeuw, M. Staudacher, N. Beisert, N. Beisert, N. Beisert, N. Beisert, N. Beisert, N. Beisert, N. Beisert, N. Gromov, N. Gromov, O. Aharony, P. Sundin, S.M. Khoroshkin, T. Matsumoto, T. McLoughlin, T. McLoughlin, V. Chari, V. Stukopin, V.G. Drinfel'd   +37 more
core   +1 more source

A Survey on Cage‐based Deformation of 3D Models

Computer Graphics Forum, Volume 43, Issue 2, May 2024.
Abstract Interactive deformation via control handles is essential in computer graphics for the modeling of 3D geometry. Deformation control structures include lattices for free‐form deformation and skeletons for character articulation, but this report focuses on cage‐based deformation.
D. Ströter, J. M. Thiery, K. Hormann, J. Chen, Q. Chang, S. Besler, J. S. Mueller‐Roemer, T. Boubekeur, A. Stork, D. W. Fellner   +9 more
wiley   +1 more source

Ternary algebras and groups

, 2007
We construct explicitly groups associated to specific ternary algebras which extend the Lie (super)algebras (called Lie algebras of order three). It turns out that the natural variables which appear in this construction are variables which generate the ...
Ahmedov H, Filipov V T, Gnedbaye A V, Goze M, Kerner R, M Rausch de Traubenberg, Michor P W, Moultaka G, Rausch de Traubenberg M, Rausch de Traubenberg M, Roby N   +10 more
core   +1 more source

Unified invariant of knots from homological braid action on Verma modules

Proceedings of the London Mathematical Society, Volume 128, Issue 5, May 2024.
Abstract We re‐build the quantum sl(2)${\mathfrak {sl}(2)}$ unified invariant of knots F∞$F_{\infty }$ from braid groups' action on tensors of Verma modules. It is a two variables series having the particularity of interpolating both families of colored Jones polynomials and ADO polynomials, that is, semisimple and non‐semisimple invariants of knots ...
Jules Martel, Sonny Willetts
wiley   +1 more source

Casimir eigenvalues for universal Lie algebra

, 2012
For two different natural definitions of Casimir operators for simple Lie algebras we show that their eigenvalues in the adjoint representation can be expressed polynomially in the universal Vogel's parameters $\alpha, \beta, \gamma$ and give explicit ...
A. N. Sergeev, A. P. Veselov, Bourbaki N., Cohen A. M., Deligne P., Duflo M., Gelfand I. M., Kac V. G., R. L. Mkrtchyan   +8 more
core   +1 more source

Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]

Commun Math Phys, 2023
Beem C, Nair S.
europepmc   +1 more source