$$ \mathcal{N} $$ = 2 supersymmetry deformations, electromagnetic duality and Dirac-Born-Infeld actions

Antoniadis, Ignatios; Jiang, Hongliang; Lacombe, Osmin

doi:10.1007/jhep07(2019)147

Cited by 13 publications

(33 citation statements)

References 22 publications

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“…In complete analogy to the D = 4 case, we are going to show that (2.13a) is a model for a Nambu-Goldstone multiplet of D = 2 N = (4, 4) → N = (2, 2) partial supersymmetry breaking. The analysis is similar in spirit to the D = 4 construction of the Bagger-Galperin action using D = 4 N = 2 superspace proposed by Roček and Tseytlin [20]; see also [33][34][35] for more recent analysis.…”

Section: The Tt -Deformed Twisted-chiral Model and Partial-breakingmentioning

confidence: 81%

“…To describe N = (4, 4) → N = (2, 2) supersymmetry breaking we can appropriately deform the (4, 4) twisted multiplet. Analogous to the case of a D = 4 N = 2 vector multiplet deformed by a magnetic Fayet-Iliopoulos term [42] (see also [20,[33][34][35]43]), we add a deformation parameter to the auxiliary field F of X , which is deformed to…”

Section: B)mentioning

confidence: 99%

“…Let us review some well known results about the D = 4 N = 1 Born-Infeld theory [23], the Bagger-Galperin action [22], the non-linearly realized second supersymmetry, and its precise N = 2 → N = 1 supersymmetry breaking pattern. For more detail, we refer to the following references on the subject [20,22,23,[33][34][35].…”

Section: = 4 N = 1 Supersymmetric Bi and Non-linear Supersymmetrymentioning

confidence: 99%

“…Following [20] (see also [33][34][35]), we break N = 2 supersymmetry by considering a Lorentz and N = 1 invariant condensate with a non-trivial dependence on the hidden Grassmann variables W = W def ∝θ 2 = 0, such that…”

Section: = 4 N = 1 Supersymmetric Bi and Non-linear Supersymmetrymentioning

confidence: 99%

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Non-linear supersymmetry and $$ T\overline{T} $$-like flows

Ferko

Jiang

Sethi

et al. 2020

J. High Energ. Phys.

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The TT deformation of a supersymmetric two-dimensional theory preserves the original supersymmetry. Moreover, in several interesting cases the deformed theory possesses additional non-linearly realized supersymmetries. We show this for certain N = (2, 2) models in two dimensions, where we observe an intriguing similarity with known N = 1 models in four dimensions. This suggests that higher-dimensional models with non-linearly realized supersymmetries might also be obtained from TT -like flow equations.We show that in four dimensions this is indeed the case for N = 1 Born-Infeld theory, as well as for the Goldstino action for spontaneously broken N = 1 supersymmetry. arXiv:1910.01599v1 [hep-th] 3 Oct 2019Contents 1 Introduction 1 2 D = 2 N = (2, 2) Flows and Non-Linear N = (2, 2) Supersymmetry 4 2.1 TT deformations with N = (2, 2) supersymmetry 4 2.2 The TT -deformed twisted-chiral model and partial-breaking 7 2.3 The TT -deformed chiral model and partial-breaking 13 3 D = 4 T 2 Deformations and Their Supersymmetric Extensions 16 3.1 Comments on the T 2 operator in D = 4 16 3.2 D = 4 N = 1 supercurrent-squared operator 18 4 Bosonic Born-Infeld As a T 2 Flow 20 5 Supersymmetric Born-Infeld From Supercurrent-Squared Deformation 22 7 Conclusions and Outlook 33 A Deriving a Useful On-shell Identity 36 construct two models describing the partial supersymmetry breaking pattern N = (4, 4) → N = (2, 2) in D = 2. These models have manifest N = (2, 2) supersymmetry from the superspace structure used in their construction, but they also admit another hidden nonlinear N = (2, 2) supersymmetry. It turns out the resulting actions are exactly the same as the N = (2, 2) chiral and twisted chiral TT -deformed actions of [18]. The intriguing relation between non-linear supersymmetry and TT therefore persists for models with manifest N = (2, 2) supersymmetry. Interestingly, even the D = 2 Volkov-Akulov action, describing the dynamics of the Goldstinos which arise from the spontaneous breaking of N = (2, 2) supersymmetry, satisfies a TT flow equation [21]. This collection of examples motivates us to see whether any higher-dimensional theories with non-linear supersymmetries might also satisfy TT -like flow equations. It has been known for more than two decades that the Bagger-Galperin action for the D = 4 N = 1 Born-Infeld theory describes N = 2 → N = 1 partial supersymmetry breaking [22]. Does the Bagger-Galperin action arise from a TT -like deformation of N = 1 Maxwell theory? That the linear order deformation is given by a supercurrent-squared operator was noted long ago in [23]. Much more recently, bosonic Born-Infeld theory was shown to satisfy a T 2 flow equation, where T 2 is an operator quadratic in the stress-energy tensor [24]. In this work, we explicitly show that the Bagger-Galperin action indeed satisfies a supercurrentsquared flow equation, generalizing the observation of [23] to all orders in the deformation parameter. The supercurrent-squared deformation operator is constructed from supercurrent multiplets, but its to...

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Section: The Tt -Deformed Twisted-chiral Model and Partial-breakingmentioning

confidence: 81%

Section: B)mentioning

confidence: 99%

Section: = 4 N = 1 Supersymmetric Bi and Non-linear Supersymmetrymentioning

confidence: 99%

Section: = 4 N = 1 Supersymmetric Bi and Non-linear Supersymmetrymentioning

confidence: 99%

See 2 more Smart Citations

Non-linear supersymmetry and $$ T\overline{T} $$-like flows

Ferko

Jiang

Sethi

et al. 2020

J. High Energ. Phys.

Self Cite

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show abstract

“…For example, the stability of the vacuum is ensured. In addition, there are a lot of works which connect this model to the D-brane effective theory [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. Therefore, it would be appropriate for the first step of our research direction.…”

Section: Introductionmentioning

confidence: 99%