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 deformations with 
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Jiang, Hongliang; Sfondrini, Alessandro; Tartaglino‐Mazzucchelli, Gabriele

doi:10.1103/physrevd.100.046017

Cited by 57 publications

(83 citation statements)

References 54 publications

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“…Indeed ζ(0, r; r i ) = (sgn[r 2 − r 2 i ] − 1)/2, so that z(0, r) asymptotes to (−1) M at large r and is always −1/2 at r = 0. 13 We can also solve the equation…”

Section: Some Essential Facts About Llm Geometriesmentioning

confidence: 99%

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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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“…Indeed ζ(0, r; r i ) = (sgn[r 2 − r 2 i ] − 1)/2, so that z(0, r) asymptotes to (−1) M at large r and is always −1/2 at r = 0. 13 We can also solve the equation…”

Section: Some Essential Facts About Llm Geometriesmentioning

confidence: 99%

“…Interesting applications to several classes of two-dimensional theories, such as supersymmetric theories[11][12][13][14][15], 2-d gravity[16][17][18][19] and AdS3/CFT2 holography[20][21][22][23][24][25][26][27][28][29], also emerged.…”

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confidence: 99%

TT¯ deformations as TsT transformations

Sfondrini

Tongeren

2020

Phys. Rev. D

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“…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: 76%

“…A remarkable feature of the deformed models is that the resulting interacting higher-derivative actions possess a set of hidden non-linear supersymmetries, in addition to their linearly realized ones. The deformed actions with N = (0, 1), (1,1) and (0, 2) supersymmetry [15][16][17] coincide with gauge-fixed supersymmetric Nambu-Goto models, which exhibit various partial supersymmetry breaking patterns [19].…”

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confidence: 99%

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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“…There are many directions to generalize the TT deformation, then an interesting question to ask is that what will happen when additional symmetry is presented in the theory, for example, conformal symmetry discussed above. In [56][57][58][59] (see also [60,61]), the authors have taken into account the supersymmetry, more specific, N = (0, 1) and extend SUSY with N = (1, 1), (2, 0), (2,2) was considered. In these studies, the supersymmetric version of TT operator appeared in eq.…”

Section: Introductionmentioning

confidence: 99%

The correlation function of (1, 1) and (2, 2) supersymmetric theories with $$ T\overline{T} $$ deformation

Sun

2020

J. High Energ. Phys.

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In the paper, based on recent studies on TT deformation of 2D field theory with supersymmetry, we investigate the deformed correlation functions in N = (1, 1) and N = (2, 2) 2D superconformal field theories. Up to the leading order in perturbation theory, we compute the correlation functions under TT deformation. The correlation functions in these undeformed theories are almost known, and together with the help of superconformal Ward identity in N = (1, 1) and N = (2, 2) theories respectively we can obtain the correlation functions with operator TT inserted. Finally, by employing dimensional regularization, we can work out the integrals in the first order perturbation. The study in this paper extends previous works on the correlation functions of TT deformed bosonic CFT to the supersymmetric case. 1

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TT¯ deformations with N=(0,2

Cited by 57 publications

References 54 publications

TT¯ deformations as TsT transformations

TT¯ deformations as TsT transformations

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

The correlation function of (1, 1) and (2, 2) supersymmetric theories with $$ T\overline{T} $$ deformation

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