<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math>supersymmetry partial breaking and tadpole anomaly

Laamara, R. Ahl; Kinani, M. N. El; Saidi, El Hassan; Vall, Mohamed Saad Bouh Elemine

doi:10.1016/j.nuclphysb.2015.10.022

Cited by 6 publications

(3 citation statements)

References 54 publications

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“…2. RIGID LIMIT OF N = 2 WARD IDENTITY: CASE U (1) MODEL Following [28], partial breaking of rigid and local extended supersymmetries is highly constrained; it can occur in a certain class of supersymmetric field theories provided one evades some no-go theorems [29][30][31][32]; see also [33][34][35][36][37][38]. In global 4D N = 2 theories, this was first noticed in [26,39]; and was explicitly realized in [40,41] for a model of a selfinteracting N = 2 vector multiplet in the presence of N = 2 electric and magnetic Fayet-Iliopoulos (FI) terms.…”

Section: Introductionmentioning

confidence: 99%

Gapped gravitinos, isospin $\frac{\mathbf{1}}{2}$ particles, and $\mathcal{N}=2$ partial breaking

Saidi

2019

Progress of Theoretical and Experimental Physics

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Using results on topological band theory of phases of matter and discrete symmetries, we study topological properties of band structure of physical systems involving spin 1 2 and 3 2 fermions. We apply this approach to study partial breaking in 4D N = 2 gauged supergravity in rigid limit and we describe the fermionic gapless mode in terms of chiral anomaly. We study as well the homologue of the usual spin-orbit coupling L. S, that opens the vanishing band gap for free s = 1 2 fermions; and show that is precisely given by the central extension of the N = 2 supercurrent algebra in 4D spacetime. We also give comments on the rigid limit of Andrianopoli et al obtained in [28] and propose an interpretation of energy bands in terms of a chiral gapless isospin 1 2 -particle (iso-particle). Other features, such as discrete Tsymmetry in FI coupling space, effect of quantum fluctuations and the link with Nielson-Ninomiya theorem, are also studied.

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Section: Introductionmentioning

confidence: 99%

Gapped gravitinos, isospin $\frac{\mathbf{1}}{2}$ particles, and $\mathcal{N}=2$ partial breaking

Saidi

2019

Progress of Theoretical and Experimental Physics

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“…It has been shown since a long time that the no-go theorem of [1][2][3], which forbids the partial breaking of extended supersymmetries, can be overcome by turning on appropriate fluxes [4][5][6][7][8][9][10][11][12][13][14], or by using non linear realisations of extended supersymmetry [15][16][17], or also by taking rigid limits of extended gauged supergravities [18,19]; see also [20][21][22][23][24][25][26][27][28][29] for the local case. For the 4d N = 2 extended supersymmetric theories in rigid limit, the study partial breaking involves two breaking scales Λ susy and Λ ′ susy , one for each supersymmetry (Λ susy < Λ ′ susy ), and leads to interesting phenomenological implications as well as formal ones.…”

Section: Introductionmentioning

confidence: 99%

Partial breaking in the rigid limit of $\mathcal{N}=2$ gauged supergravity

Laamara

Saidi

Vall

2017

Progress of Theoretical and Experimental Physics

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Using a new manner to rescale fields in N = 2 gauged supergravity with n V vector multiplets and n H hypermultiplets, we develop the explicit derivation of the rigid limit of quaternionic isometry Ward identities agreeing with known results. We show that the rigid limit can be achieved, amongst others, by performing two successive transformations on the covariantly holomorphic sections V M (z,z) of the special Kahler manifold: a particular symplectic change followed by a particular Kahler transformation. We also give a geometric interpretation of the η i parameters used in arXiv:1508.01474 to deal with the expansion of the holomorphic prepotential F (z) of the N = 2 theory. We give as well a D-brane realisation of gauged quaternionic isometries and an interpretation of the embedding tensor ϑ u M in terms of type IIA/IIB mirror symmetry. Moreover, we construct explicit metrics for a new family of 4r-dimensional quaternionic manifolds M (n H ) QK classified by ADE Lie algebras generalising the SO (1, 4) /SO (4) geometry which corresponds to A 1 ∼ su (2). The conditions of the partial breaking of N = 2 supersymmetry in the rigid limit are also derived for both the observable and the hidden sectors. Other features are also studied.

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“…based on N = 2 supergravity constrained superfield. Also, in Refs [42,43],. a model where N = 2 global supersymmetry can be broken at two different scales is discussed.…”

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confidence: 99%

Behaviors of two supersymmetry breaking scales in $$ \mathcal{N} $$ = 2 supergravity

Abé

Aoki

Imai

et al. 2019

J. High Energ. Phys.

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We study the supersymmetry breaking patterns in four-dimensional N = 2 gauged supergravity. The model contains multiple (Abelian) vector multiplets and a single hypermultiplet which parametrizes SO(4, 1)/SO(4) coset. We derive the expressions of two gravitino masses under general gaugings and prepotential based on the embedding tensor formalism, and discuss their behaviors in some concrete models. Then we show that in a single vector multiplet case, the partial breaking always occurs when the third derivative of the prepotential exists at the vacuum, but we can have several breaking patterns otherwise.

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N=2supersymmetry partial breaking and tadpole anomaly

Cited by 6 publications

References 54 publications

Gapped gravitinos, isospin $\frac{\mathbf{1}}{2}$ particles, and $\mathcal{N}=2$ partial breaking

Gapped gravitinos, isospin $\frac{\mathbf{1}}{2}$ particles, and $\mathcal{N}=2$ partial breaking

Partial breaking in the rigid limit of $\mathcal{N}=2$ gauged supergravity

Behaviors of two supersymmetry breaking scales in $$ \mathcal{N} $$ = 2 supergravity

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