Results 21 to 30 of about 8,126 (80)

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Supersymmetric Deformations of Maximally Supersymmetric Gauge Theories

, 2012
We study supersymmetric and super Poincar\'e invariant deformations of ten-dimensional super Yang-Mills theory and of its dimensional reductions.
A Collinucci, A Connes, A Connes, A Corti, A Nijenhuis, A Polishchuk, A. Schwarz, AS Schwarz, B Keller, B Zumino, BL Feigin, C Chevalley, C Weibel, D Burghelea, E Abdalla, E Bergshoeff, EB Vinberg, H Cartan, J-L Loday, M Alexandrov, M Cederwall, M Cederwall, M Cederwall, M Cederwall, M Cederwall, M Henneaux, M Movshev, M Movshev, M Movshev, M. V. Movshev, N Berkovits, N Berkovits, N Berkovits, N Berkovits, P Deligne, P Griffiths, PS Howe, R Bott, S Priddy, T Lada, V Lakshmibai   +40 more
core   +1 more source

Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley   +1 more source

Quantum Hamiltonian Reduction in Superspace Formalism

, 1994
Recently the quantum hamiltonian reduction was done in the case of general $s\ell(2)$ embeddings into Lie algebras and superalgebras. In this paper we extend the results to the quantum hamiltonian reduction of $N=1$ affine Lie superalgebras in the ...
Bais, Bershadsky, Bouwknegt, Bouwknegt, de Boer, de Boer, Delduc, Di Vecchia, Eric Ragoucy, Fehér, Feigin, Fradkin, Frappat, Frenkel, Fuchs, Goddard, Ito, Ito, Ito, Jens Ole Madsen, Kostant, Ragoucy, Sevrin, Sevrin   +23 more
core   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

A pairing between super Lie-Rinehart and periodic cyclic homology

, 2005
We consider a pairing producing various cyclic Hochschild cocycles, which led Alain Connes to cyclic cohomology. We are interested in geometrical meaning and homological properties of this pairing.
Maszczyk, Tomasz
core   +1 more source

Postulation of schemes of length at most 4 on surfaces

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract In this paper, we address the postulation problem of zero‐dimensional schemes of length at most 4 on a surface. We prove some general results and then we focus on the case of P2$\mathbb {P}^2$, P1×P1$\mathbb {P}^1\times \mathbb {P}^1$ and Hirzebruch surfaces. In particular, we prove that except for few well‐known exceptions, a general union of
Edoardo Ballico, Stefano Canino
wiley   +1 more source

The first Hochschild cohomology as a Lie algebra

, 2019
In this paper we study sufficient conditions for the solvability of the first Hochschild cohomology of a finite dimensional algebra as a Lie algebra in terms of its Ext-quiver in arbitrary characteristic.
Degrassi, Lleonard Rubio y, Schroll, Sibylle, Solotar, Andrea   +2 more
core   +1 more source

Harmonic maps to the circle with higher dimensional singular set

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley   +1 more source