Results 1 to 10 of about 13,820 (216)

Rigid automorphisms of linking systems

open access: yesForum of Mathematics, Sigma, 2021
A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
doaj   +1 more source

Construction of Discrete Symmetries Using the Pauli Algebra Form of the Dirac Equation

open access: yesPhysical Sciences Forum, 2023
Two equations whose variables take values in the Pauli algebra of complex quaternions are shown to be equivalent to the standard Dirac equation and its Hermitian conjugate taken together.
Avraham Nofech
doaj   +1 more source

Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications

open access: yesNuclear Physics B, 2021
We explore the geometrical origin of CP and the spontaneous CP violation in Calabi-Yau compactifications. We find that the CP symmetry is identified with an outer automorphism of the symplectic modular group in the large complex structure regime of ...
Keiya Ishiguro   +2 more
doaj   +1 more source

2-Group symmetries in class S

open access: yesSciPost Physics, 2022
2-group symmetries are generalized symmetries that arise when 1-form and 0-form symmetries mix with each other. We uncover the existence of a class of 2-group symmetries in general 4d N=2 theories of Class S that can be constructed by compactifying 6d
Lakshya Bhardwaj
doaj   +1 more source

Weights in a Benson-Solomon block

open access: yesForum of Mathematics, Sigma, 2023
To each pair consisting of a saturated fusion system over a p-group together with a compatible family of Külshammer-Puig cohomology classes, one can count weights in a hypothetical block algebra arising from these data.
Justin Lynd, Jason Semeraro
doaj   +1 more source

Global form of flavor symmetry groups in 4d N=2 theories of class S

open access: yesSciPost Physics, 2022
We provide a systematic method to deduce the global form of flavor symmetry groups in 4d N=2 theories obtained by compactifying 6d N=(2,0) superconformal field theories (SCFTs) on a Riemann surface carrying regular punctures and possibly outer ...
Lakshya Bhardwaj
doaj   +1 more source

Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case

open access: yesDiscrete Analysis, 2021
Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case, Discrete Analysis 2021:15, 35 pp. Symbolic dynamics is the study of dynamical systems of the following kind, known as _shift spaces_.
Collin Bleak   +2 more
doaj   +1 more source

Exceptional moduli spaces for exceptional N $$ \mathcal{N} $$ = 3 theories

open access: yesJournal of High Energy Physics, 2022
It is expected on general grounds that the moduli space of 4d N $$ \mathcal{N} $$ = 3 theories is of the form ℂ3r /Γ, with r the rank and Γ a crystallographic complex reflection group (CCRG). As in the case of Lie algebras, the space of CCRGs consists of
Justin Kaidi, Mario Martone, Gabi Zafrir
doaj   +1 more source

The shadow formalism of Galilean CFT2

open access: yesJournal of High Energy Physics, 2023
In this work, we develop the shadow formalism for two-dimensional Galilean conformal field theory (GCFT2). We define the principal series representation of Galilean conformal symmetry group and find its relation with the Wigner classification, then we ...
Bin Chen, Reiko Liu
doaj   +1 more source

Ten-dimensional origin of Minkowski vacua in N=8 supergravity

open access: yesPhysics Letters B, 2018
Maximal supergravity in four dimensions admits two inequivalent dyonic gaugings of the group SO(4)×SO(2,2)⋉T16. Both admit a Minkowski vacuum with residual SO(4)×SO(2)2 symmetry and identical spectrum. We explore these vacua and their deformations. Using
Emanuel Malek, Henning Samtleben
doaj   +1 more source

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