Results 51 to 60 of about 312 (162)

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

Lie bialgebra structures on the twisted Heisenberg–Virasoro algebra

Journal of Algebra, 2012
In this paper we investigate Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra. With the classifications of Lie bialgebra structures on the Virasoro algebra, we determined such structures on the twisted Heisenberg-Virasoro algebra. Moreover, some general and useful results are obtained.
Liu, Dong, Pei, Yufeng, Zhu, Linsheng
openaire   +3 more sources

Spectral Normalization and Voigt–Reuss net: A universal approach to microstructure‐property forecasting with physical guarantees

GAMM-Mitteilungen, Volume 48, Issue 3, September 2025.
Abstract Heterogeneous materials are crucial to producing lightweight components, functional components, and structures composed of them. A crucial step in the design process is the rapid evaluation of their effective mechanical, thermal, or, in general, constitutive properties.
Sanath Keshav, Julius Herb, Felix Fritzen   +2 more
wiley   +1 more source

On the cohomology of restricted Heisenberg Lie algebras

Linear Algebra and its Applications
We show that the Heisenberg Lie algebras over a field $\mathbb{F}$ of characteristic $p>0$ admit a family of restricted Lie algebras, and we classify all such non-isomorphic restricted Lie algebra structures. We use the ordinary 1- and 2-cohomology spaces with trivial coefficients to compute the restricted 1- and 2-cohomology spaces of these ...
Evans, Tyler J., Fialowski, Alice, Yang, Yong   +2 more
openaire   +3 more sources

Taking limits in topological recursion

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram, Reinier Kramer, Sergey Shadrin   +4 more
wiley   +1 more source

Quantum Computing: Foundations, Architecture and Applications

Engineering Reports, Volume 7, Issue 8, August 2025.
This paper presents a study on quantum computing's theoretical foundations and applications, illustrated by a quantum circuit diagram featuring gates and measurements that demonstrate qubit manipulation and entanglement. ABSTRACT Quantum computing exploits the principles of quantum mechanics to address computational problems that are intractable to ...
Christopher Columbus Chinnappan, Palani Thanaraj Krishnan, Elakiya Elamaran, Rajakumar Arul, T. Sunil Kumar   +4 more
wiley   +1 more source

Chomology of Heisenberg Hom-Lie algebras

, 2017
In this paper, we define the Heisenberg Hom-Lie algebra. We determine the minimal dimension of faithful representation for Heisenberg Hom-Lie algebra.We study the adjoint representation, the trivial representation and the faithful representation of Heisenberg Hom-Lie algebra.
openaire   +2 more sources

Heisenberg‐smooth operators from the phase‐space perspective

Mathematische Nachrichten, Volume 298, Issue 8, Page 2845-2866, August 2025.
Abstract Cordes' characterization of Heisenberg‐smooth operators bridges a gap between the theory of pseudo‐differential operators and quantum harmonic analysis (QHA). We give a new proof of the result by using the phase‐space formalism of QHA. Our argument is flexible enough to generalize Cordes' result in several directions: (1) we can admit general ...
Robert Fulsche, Lauritz van Luijk
wiley   +1 more source

Cohomology of restricted twisted Heisenberg Lie algebras

Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Abstract Over an algebraically closed field $\mathbb F$ of characteristic
openaire   +2 more sources

Spread complexity for the planar limit of holography

Journal of High Energy Physics
Complexity is a fundamental characteristic of states within a quantum system. Its use is however mostly limited to bosonic systems, inhibiting its present applicability to supersymmetric theories.
Rathindra Nath Das, Saskia Demulder, Johanna Erdmenger, Christian Northe   +3 more
doaj   +1 more source