Examples of 4D, 𝒩 = 2 holoraumy

Gates, S. James; Mak, S.-N. Hazel

doi:10.1142/s0217751x19500817

Cited by 7 publications

(10 citation statements)

References 50 publications

(78 reference statements)

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“…In this chapter, we will present one dimensional N = 4 off-shell and on-shell Lagrangians that include SYK-type terms, obtained by dimensional reduction. This dimensional reduction procedure is a simple one and has been applied as a foundation of building adinkras for 4D multiplets [118][119][120][121][122][123][124][125][126][127][128][129][130][131].…”

Section: D N = 4 Syk Modelsmentioning

confidence: 99%

On 1D, N = 4 Supersymmetric SYK-Type Models (I)

Gates,,

Hu,

Mak

2021

Preprint

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Proposals are made to describe 1D, N = 4 supersymmetrical systems that extend SYK models by compactifying from 4D, N = 1 supersymmetric Lagrangians involving chiral, vector, and tensor supermultiplets. Quartic fermionic vertices are generated via intergrals over the whole superspace, while 2(q − 1)-point fermionic vertices are generated via superpotentials. The coupling constants in the superfield Lagrangians are arbitrary, and can be chosen to be Gaussian random. In that case, these 1D, N = 4 supersymmetric SYK models would exhibit Wishart-Laguerre randomness, which share the same feature among other 1D supersymmetric SYK models in literature. One difference with 1D, N = 1 and N = 2 models though, is our models contain dynamical bosons, but this is consistent with other 1D, N = 4 and 2D, N = 2 models in literature.

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Section: D N = 4 Syk Modelsmentioning

confidence: 99%

On 1D, N = 4 Supersymmetric SYK-Type Models (I)

Gates,,

Hu,

Mak

2021

Preprint

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“…In this section, we will present one dimensional N = 4 off-shell and on-shell Lagrangians that include SYK-type terms, obtained by dimensional reduction. This dimensional reduction procedure is a simple one and has been applied as a foundation of building adinkras for 4D multiplets [119][120][121][122][123][124][125][126][127][128][129][130][131][132].…”

Section: D N = 4 Syk Modelsmentioning

confidence: 99%

On 1D, $$ \mathcal{N} $$ = 4 supersymmetric SYK-type models. Part I

Gates

Mak

2021

J. High Energ. Phys.

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Proposals are made to describe 1D, $$ \mathcal{N} $$ N = 4 supersymmetrical systems that ex- tend SYK models by compactifying from 4D, $$ \mathcal{N} $$ N = 1 supersymmetric Lagrangians involving chiral, vector, and tensor supermultiplets. Quartic fermionic vertices are generated via in- tegrals over the whole superspace, while 2(q − 1)-point fermionic vertices are generated via superpotentials. The coupling constants in the superfield Lagrangians are arbitrary, and can be chosen to be Gaussian random. In that case, these 1D, $$ \mathcal{N} $$ N = 4 supersymmetric SYK models would exhibit Wishart-Laguerre randomness, which share the same feature among other 1D supersymmetric SYK models in literature. One difference with 1D, $$ \mathcal{N} $$ N = 1 and $$ \mathcal{N} $$ N = 2 models though, is our models contain dynamical bosons, but this is consistent with other 1D, $$ \mathcal{N} $$ N = 4 and 2D, $$ \mathcal{N} $$ N = 2 models in literature. Added conjectures on duality and possible mirror symmetry realizations in these models is noted.

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“…The appearance [1,2,3] of this rotation was noted as a rough analogy to the behavior of parallel transport of a vector around a closed path in the differential geometry of a higher dimensional Riemannian manifold. In the case for such a D-dimensional manifold such rotations appear and when these are considered over everytwo-symplex, one is led to a definition of the Riemann curvature tensor and an intrinsic characterization of the local curvature of the manifold.…”

Section: Introductionmentioning

confidence: 96%

“…In the works of [1,2,3], the concept of "holoraumy" in four dimensions 12 was introduced. This occurred as an outgrowth of developments surrounding minimal adinkras related to the Coxeter Group BC 4 [4,5,6].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the ubiquity of electromagnetic-duality rotations in 4D, 𝒩 = 1 holoraumy tensors for on-shell 4D supermultiplets

Gates

Lay

Mak

et al. 2020

Int. J. Mod. Phys. A

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Holoraumy is a tool being developed for dimensional enhancement (supersymmetry holography) where the goal is to build higher dimensional supersymmetric multiplets from lower dimensional supersymmetric multiplets. In this paper, for the first time we investigate holoraumy for on-shell supersymmetry. Specifically, the holoraumy tensors for a number of familiar 4D, N = 1 multiplets are calculated. It is shown in all of these cases of on-shell theories, the holoraumy is of the form of an electromagnetic duality charge multiplying a composite transformation involving an electromagnetic duality rotation through an angle of π/2 times a space time translation. The details of our calculations can be found at the HEPTHools Data Repository.

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Examples of 4D, 𝒩 = 2 holoraumy

Cited by 7 publications

References 50 publications

On 1D, N = 4 Supersymmetric SYK-Type Models (I)

On 1D, N = 4 Supersymmetric SYK-Type Models (I)

On 1D, $$ \mathcal{N} $$ = 4 supersymmetric SYK-type models. Part I

On the ubiquity of electromagnetic-duality rotations in 4D, 𝒩 = 1 holoraumy tensors for on-shell 4D supermultiplets

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