Results 31 to 40 of about 116 (103)
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
Dirac–Schrödinger operators, index theory and spectral flow
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley +1 more source
Clifford Algebras and Spinors for Arbitrary Braids
, 1994 8 pages (AMS-LaTeX)
Durdevic, Mico, Oziewicz, Zbigniew
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Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Mathematische Nachrichten, Volume 298, Issue 9, Page 2942-2974, September 2025.Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source
On the Jucys–Murphy method and fusion procedure for the Sergeev superalgebra
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We use the Jucys–Murphy elements to construct a complete set of primitive idempotents for the Sergeev superalgebra Sn${\mathcal {S}}_n$. We produce seminormal forms for the simple modules over Sn${\mathcal {S}}_n$ and over the spin symmetric group algebra with explicit constructions of basis vectors.
Iryna Kashuba +2 more
wiley +1 more source
What can we Learn from Quantum Convolutional Neural Networks?
Advanced Quantum Technologies, Volume 8, Issue 7, July 2025.Quantum Convolutional Neural Networks have been long touted as one of the premium architectures for quantum machine learning (QML). But what exactly makes them so successful for tasks involving quantum data? This study unlocks some of these mysteries; particularly highlighting how quantum data embedding provides a basis for superior performance in ...
Chukwudubem Umeano +3 more
wiley +1 more source
Response to 'Comment on "Quantum correlations are weaved by the spinors of the Euclidean primitives"'. [PDF]
R Soc Open Sci, 2022 Christian J.
europepmc +1 more source
The Study Variety of Conformal Kinematics. [PDF]
Adv Appl Clifford Algebr, 2022 Kalkan B +3 more
europepmc +1 more source
Clifford Algebras, Spinors and $Cl(8,8)$ Unification
, 2021 It is shown how the vector space $V_{8,8}$ arises from the Clifford algebra $Cl(1,3)$ of spacetime. The latter algebra describes fundamental objects such as strings and branes in terms of their $r$-volume degrees of freedom, $x^{μ_1 μ_2 ...μ_r}$ $\equiv x^M$, $r=0,1,2,3$, that generalizethe concept of center of mass.
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Comment on 'Quantum correlations are weaved by the spinors of the Euclidean primitives'. [PDF]
R Soc Open Sci, 2022 Gill RD.
europepmc +1 more source