2D Volkov-Akulov Model as a 
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 Deformation

Cribiori, Niccolò; Farakos, Fotios; Unge, Rikard von

doi:10.1103/physrevlett.123.201601

Cited by 18 publications

(20 citation statements)

References 17 publications

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“…We have shown in sections 4 and 5.2 that the bosonic truncation of the supersymmetric BI ). 10 The model analyzed in [21] is the analogue of the D = 4 model of [64,65] and related on-shell to the Goldstino model of [66]. 11 This section is devoted to showing that these D = 4 N = 1 Goldstino models satisfy a supercurrent-squared flow driven by the operator O T 2 of the supersymmetric BI, in agreement with the arguments given above.…”

Section: = 4 Goldstino Action From Supercurrent-squared Deformationsupporting

confidence: 61%

“…In this work we have explored the relationship between TT deformations and non-linear supersymmetry, extending the earlier analysis of [17,18,21]. We first showed how two different D = 2 N = (2, 2) TT deformations of free supersymmetric scalar models, studied in [18], classically possess a hidden non-linearly realized N = (2, 2) supersymmetry.…”

Section: Discussionmentioning

confidence: 73%

“…In section 5, we show that N = 1 Born-Infeld theory satisfies a supercurrent-squared flow equation to all orders in the deformation parameter. In section 6 we show that a particular form of the D = 4 Goldstino action also satisfies a supercurrent-squared flow, generalizing the D = 2 result of [21]. We end with concluding thoughts in section 7.…”

mentioning

confidence: 75%

“…The goal in the rest of this section is to straightforwardly generalize the analysis of [21] to D = 4 and to show how the KS action satisfies a flow equation arising from a T 2 deformation of the free fermion action.…”

Section: = 4 Ks Goldstino Model As a Supercurrent-squared Flowmentioning

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: = 4 Goldstino Action From Supercurrent-squared Deformationsupporting

confidence: 61%

Section: Discussionmentioning

confidence: 73%

mentioning

confidence: 75%

Section: = 4 Ks Goldstino Model As a Supercurrent-squared Flowmentioning

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.

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“…[35] for a review. 15 These observations are not sufficient by themselves to guarantee integrability of the deformed theory.…”

Section: Speculations On Gauge-theory Dualsmentioning

confidence: 99%

TT¯ deformations as TsT transformations

Sfondrini

Tongeren

2020

Phys. Rev. D

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The relationship between T T deformations and the uniform light-cone gauge, first noted in arXiv:1804.01998, provides a powerful generating technique for deformed models. We recall this construction, distinguishing between changes of the gauge frame, which do not affect the theory, and genuine deformations. We investigate the geometric interpretation of the latter and argue that they affect the global features of the geometry before gauge fixing. Exploiting a formal relation between uniform light-cone gauge and static gauge in a T-dual frame, we interpret such a change as a TsT transformation involving the two light-cone coordinates. In the static-gauge picture, the T T CDD factor then has a natural interpretation as a Drinfel'd-Reshetikhin twist of the worldsheet S matrix. To illustrate these ideas, we find the geometries yielding a T T deformation of the worldsheet S matrix of pp-wave and Lin-Lunin-Maldacena backgrounds. arXiv:1908.09299v2 [hep-th]

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