Results 101 to 110 of about 84,094 (237)

T-duality to scattering amplitude and Wilson loop in non-commutative super Yang-Mills theory

Journal of High Energy Physics, 2018
We first perform bosonic T-duality transformation on one of the marginal TsT (T-duality, shift, T-duality)-deformed AdS 5×S 5 spacetime, which corresponds to 4D N=4 $$ \mathcal{N}=4 $$ non-commutative super Yang-Mills theory (NCSYM).
Song He, Hongfei Shu
doaj   +1 more source

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

Generalised kinematics for double field theory

Journal of High Energy Physics, 2017
We formulate a kinematical extension of Double Field Theory on a 2d-dimensional para-Hermitian manifold Pηω $$ \left(\mathcal{P},\eta, \omega \right) $$ where the O(d, d) metric η is supplemented by an almost symplectic two-form ω.
Laurent Freidel, Felix J. Rudolph, David Svoboda   +2 more
doaj   +1 more source

Rickard's derived Morita theory: Review and outlook

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso, Henning Krause, Sibylle Schroll   +2 more
wiley   +1 more source

Two homological problems on skew PBW extensions arising in non commutative algebraic geometry [PDF]

, 2016
. In this work we study Auslander regularity conditions and the strongly noetherian property for the skew P BW extensions. The Cohen-Macaulay condition is also analyzed.
Venegas Ramirez, Helbert Javier
core   +1 more source

Lorentz signature and twisted spectral triples

Journal of High Energy Physics, 2018
We show how twisting the spectral triple of the Standard Model of elementary particles naturally yields the Krein space associated with the Lorentzian signature of spacetime. We discuss the associated spectral action, both for fermions and bosons.
A. Devastato, S. Farnsworth, F. Lizzi, P. Martinetti   +3 more
doaj   +1 more source

On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley   +1 more source

Piecewise Principal Coactions of Co-Commutative Hopf Algebras [PDF]

, 2014
Principal comodule algebras can be thought of as objects representing principal bundles in non-commutative geometry. A crucial component of a principal comodule algebra is a strong connection map.
Zieliński, B.
core   +1 more source

Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry

Discussiones Mathematicae - General Algebra and Applications, 2017
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
doaj   +1 more source