Results 11 to 20 of about 249 (143)
Spin Representations, Clifford Algebras and Spinors
, 2023 We begin by giving some theoretical background to the underlying concepts of spin representations and spinors. This is done from the perspective of Lie groups and Lie algebras. In particular, we discuss the functionality of Clifford algebras in the determination of the double-covering spin groups.
Wogel, Simon
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Clifford Algebras, Spinors and Twistors
Clifford algebras, spinors, and twistors are fundamental mathematical tools in theoretical physics, and are used in quantum field theory and special and general relativity. We provide an overview of Clifford algebras with an emphasis on the mixed signature (1,3) associated with Minkowski spacetime. In particular, we discuss the spin group Spin(1,3) and
Chen, Ludvig
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New spinor classes on the Graf-Clifford algebra [PDF]
Journal of High Energy Physics, 2018 Abstract Pinor and spinor fields are sections of the subbundles whose fibers are the representation spaces of the Clifford algebra of the forms, equipped with the Graf product. In this context, pinors and spinors are here considered and the geometric generalized Fierz identities provide the necessary framework to derive and ...
R. Lopes, R. da Rocha
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Clifford Algebras and Their Applications to Lie Groups and Spinors [PDF]
Geometry, Integrability and Quantization, 2018 44 ...
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Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
wiley +1 more source
Deforming the Double‐Scaled SYK and Reaching the Stretched Horizon From Finite Cutoff Holography
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We study the properties of the double‐scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a lower‐dimensional analog of TT¯(+Λ2)$\text{T}\overline{\text{T}}(+\Lambda _2)$ deformations, denoted T2 ...
Sergio E. Aguilar‐Gutierrez
wiley +1 more source
Methodological Fundamentalism: or why Batterman’s Different Notions of ‘Fundamentalism’ may not make a Difference [PDF]
, 2006 I argue that the distinctions Robert Batterman (2004) presents between ‘epistemically fundamental’ versus ‘ontologically fundamental’ theoretical approaches can be subsumed by methodologically fundamental procedures.
William M Kallfelz, Kallfelz, William
core
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 +4 more
wiley +1 more source
Clifford Algebras and Liquid Crystalline Fermions
Physical Review XWe show that Clifford algebras provide a natural language to describe the physics of liquid crystal defects in 3D. This framework shows that most of these defects have fermionic nature, as the director field profile on a 2D cross section can ...
N. Johnson +8 more
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