Results 71 to 80 of about 2,177,540 (199)

Curves of best approximation on wonderful varieties

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3941-3948, December 2025.
Abstract We give an unconditional proof of the Coba conjecture for wonderful compactifications of adjoint type for semisimple Lie groups of type An$A_n$. We also give a proof of a slightly weaker conjecture for wonderful compactifications of adjoint type for arbitrary Lie groups.
Christopher Manon, David McKinnon, Matthew Satriano   +2 more
wiley   +1 more source

W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
wiley   +1 more source

The sl(2n|2n)^(1) Super-Toda Lattices and the Heavenly Equations as Continuum Limit

, 2005
The $n\to\infty$ continuum limit of super-Toda models associated with the affine $sl(2n|2n)^{(1)}$ (super)algebra series produces $(2+1)$-dimensional integrable equations in the ${\bf S}^{1}\times {\bf R}^2$ spacetimes.
Ferapontov E V Pavlov M V, Francesco Toppan, Frappat L Sciarrino A Sorba P, Garcia-Compeán H, Ivanov E, Ivanov E, Kac V G, Lechtenfeld O, Lechtenfeld O, Lechtenfeld O, Plebański J F, Popowicz Z, Saveliev M V, Ward R S, Zhanna Kuznetsova, Ziemowit Popowicz   +15 more
core   +1 more source

$q$-Coxeter matrix and $q$-Cartan matrix for a homogeneous bound quiver

, 2023
22 ...
openaire   +2 more sources

A New Approach to the Accretive Growth of Surfaces Via Hyperbolical Kinematics

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15349-15363, 15 November 2025.
ABSTRACT In the current work, we introduce the accretive growth of surfaces by using hyperbolical geometry. First, we describe hyperbolical kinematics along a generating curve to construct accretive surfaces having a hyperbolical cross‐section. The obtained surfaces are not only the ones having hyperbolical cross‐sections but also their material points
Gül Tuğ, Zehra Özdemir
wiley   +1 more source

Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3597-3613, November 2025.
Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi, Louis‐Hadrien Robert, Joshua Sussan, Emmanuel Wagner   +3 more
wiley   +1 more source

Genus bounds from unrolled quantum groups at roots of unity

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract For any simple complex Lie algebra g$\mathfrak {g}$, we show that the degrees of the “ADO” link polynomials coming from the unrolled restricted quantum group U¯qH(g)$\overline{U}^H_q(\mathfrak {g})$ at a root of unity give lower bounds to the Seifert genus of the link.
Daniel López Neumann, Roland van der Veen   +1 more
wiley   +1 more source

Gravitational solitons and non-relativistic string theory

Journal of High Energy Physics
We explore the non-relativistic string theory (NRST) limit of type II string theory and its action on gravitational solitons. As a start, we exhibit in detail that the NRST limit is T-dual to a discrete lightcone limit and can be viewed as a near-BPS ...
Troels Harmark, Johannes Lahnsteiner, Niels A. Obers   +2 more
doaj   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$

Mathematika, Volume 71, Issue 4, October 2025.
Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley   +1 more source