Results 21 to 30 of about 2,701,761 (237)

Dieudonné theory via cohomology of classifying stacks

open access: yesForum of Mathematics, Sigma, 2021
We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G.
Shubhodip Mondal
doaj   +1 more source

Elementary abelian groups of rank 5 are DCI-groups [PDF]

open access: yesJournal of Combinatorial Theory, Series A, 2018
In this paper, we show that the group $\mathbb{Z}_p^5$ is a DCI-group for any odd prime $p,$ that is, two Cayley digraphs Cay$(\mathbb{Z}_p^5,S)$ and Cay$(\mathbb{Z}_p^5,T)$ are isomorphic if and only if $S=T^ $ for some automorphism $ $ of the group $\mathbb{Z}_p^5$.
Kovács, István, Feng, Yan-Quan
openaire   +4 more sources

Exploring Seiberg-like dualities with eight supercharges

open access: yesJournal of High Energy Physics, 2023
We propose a family of IR dualities for 3d N $$ \mathcal{N} $$ = 4 U(N) SQCD with N f fundamental flavors and P Abelian hypermultiplets i.e. P hypermultiplets in the determinant representation of the gauge group.
Anindya Dey
doaj   +1 more source

Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

open access: yesPhysical Review Research, 2021
With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
doaj   +1 more source

Tadpoles and gauge symmetries

open access: yesJournal of High Energy Physics, 2023
The tadpole conjecture proposes that complex structure moduli stabilisation by fluxes that have low tadpole charge can be realised only at special points in moduli space, leading generically to (large) gauge symmetries.
Andreas P. Braun   +4 more
doaj   +1 more source

ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS

open access: yesUral Mathematical Journal, 2022
In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
doaj   +1 more source

On the LHC signatures of $$SU(5)\times U(1)'$$ S U ( 5 ) × U ( 1 ) ′ F-theory motivated models

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
We study low energy implications of F-theory GUT models based on SU(5) extended by a $$U(1)'$$ U ( 1 ) ′ symmetry which couples non-universally to the three families of quarks and leptons.
A. Karozas   +3 more
doaj   +1 more source

Elekes-Szabó for groups, and approximate subgroups in weak general position

open access: yesDiscrete Analysis, 2023
Elekes-Szabó for groups, and approximate subgroups in weak general position, Discrete Analysis 2023:6, 28 pp. An important theorem of Elekes and Szabó shows that given an algebraic relation between triples of complex numbers (such as e.g.
Martin Bays   +2 more
doaj   +1 more source

Non-Abelian gauged fracton matter field theory: Sigma models, superfluids, and vortices

open access: yesPhysical Review Research, 2020
By gauging a higher-moment polynomial degree global symmetry and a discrete charge conjugation (i.e., particle-hole) symmetry coupled to matter fields (two symmetries mutually noncommutative), we derive a class of higher-rank tensor non-Abelian gauge ...
Juven Wang, Shing-Tung Yau
doaj   +1 more source

A Note on Additive Groups of Some Specific Torsion-Free Rings of Rank Three and Mixed Associative Rings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
doaj   +1 more source

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