Strings on NS-NS backgrounds as integrable deformations

Self Cite

The plane-wave limit of AdS 3 ×S 3 ×S 3 ×S 1 is analysed for generic null-geodesics that are not necessarily BPS. For the case of pure NS-NS flux it is shown how the resulting spectrum can be reproduced as a suitable limit of the world-sheet description in terms of WZW models. Since supersymmetry is broken, most of the degeneracies are lifted, and thus the identification of states is quite unambiguous.

Section: Jhep08(2018)097mentioning

confidence: 99%

The plane-wave limit of AdS3×S3×S3×S1

Dei

Gaberdiel

Sfondrini

2018

Self Cite

“…These D = 2 models turn out to be structurally very similar to the Bagger-Galperin action describing a D = 4 N = 1 Born-Infeld theory, which possesses extra non-linearly 12 The careful reader may find that the flow can also be satisfied by other supercurrent-squared operators, J 2 − rX X , with arbitrary r because of the linearity between J 2 andX X . It is worth pointing out the same thing happens in D = 2 [21].…”

Section: Discussionmentioning

confidence: 81%

“…This is a beautiful connection between TT deformations and a field theory which classically possesses a non-linearly realized D = 3 Lorentz symmetry; for other connections between TT and classical string theory, see, for example, [8][9][10][11][12][13][14][15].…”

mentioning

confidence: 99%

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

Ferko

Jiang

Sethi

et al. 2020

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...

“…Meanwhile, there are other different perspectives on the TT deformation [29,30], and applications in string theory [31][32][33][34][35][36][37][38][39][40][41][42]. More interestingly, from holographic dual point of view, it is suggested that the TT deformed 2D CFT dual to AdS 3 gravity with finite cutoff in the radial direction [43].…”

Section: Introductionmentioning

confidence: 99%

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

Sun

2020

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