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 deformations as 
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 transformations

Sfondrini, Alessandro; Tongeren, Stijn J. van

doi:10.1103/physrevd.101.066022

Cited by 48 publications

(70 citation statements)

References 86 publications

(218 reference statements)

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“…Interestingly, a different relationship between TsT transformations and TT deformations was found in [103]. Therein, a TsT-transformed D + 2 string worldsheet theory was viewed as a non-perturbative TT deformation of a 2d CFT featuring D number of fields and no holographic duality was involved.…”

Section: Jhep06(2020)109mentioning

confidence: 99%

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TsT, $$ \mathrm{T}\overline{\mathrm{T}} $$ and black strings

Apolo

Detournay

Song

2020

J. High Energ. Phys.

104

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We study the relationship between TsT transformations, marginal deformations of string theory on AdS 3 backgrounds, and irrelevant deformations of 2d CFTs. We show that TsT transformations of NS-NS backgrounds correspond to instantaneous deformations of the worldsheet action by the antisymmetric product of two Noether currents, holographically mirroring the definition of the TT , JT , TJ, and JJ deformations of 2d CFTs. Applying a TsT transformation to string theory on BTZ ×S 3 × M 4 we obtain a general class of rotating black string solutions, including the Horne-Horowitz and the Giveon-Itzhaki-Kutasov ones as special cases, which we show are holographically dual to thermal states in single-trace TT-deformed CFTs. We also find a smooth solution interpolating between global AdS 3 in the IR and a linear dilaton background in the UV that is interpreted as the NS-NS ground state in the dual TT-deformed CFT. This background suggests the existence of an upper bound on the deformation parameter above which the solution becomes complex. We find that the worldsheet spectrum, the thermodynamics of the black strings (in particular their Bekenstein-Hawking entropy), and the critical value of the deformation parameter match the corresponding quantities obtained from single-trace TT deformations.

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Section: Jhep06(2020)109mentioning

confidence: 99%

“…Nevertheless, it would be interesting to explore if there are further connections between the results of this paper and ref. [103].…”

Section: Jhep06(2020)109mentioning

confidence: 99%

TsT, $$ \mathrm{T}\overline{\mathrm{T}} $$ and black strings

Apolo

Detournay

Song

2020

J. High Energ. Phys.

104

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“…The hidden supersymmetry transformations of the N = 1 components of the deformed N = 2 vector multiplet turn out to bẽ 14) which can be solved to eliminate X in terms of W 2 = W α W α and its complex conjugatē…”

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

confidence: 99%

“…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

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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“…First of all, at the leading order, the operator TT is built from the holomorphic and antiholomorphic terms of the stress-energy tensor, while TJ comes from the holomorphic part of the energy-momentum tensor, but also needs a Uð1Þ currentJðzÞ. Consequently, these deformations are irrelevant from the renormalization group (RG) viewpoint with conformal dimensions (2,2) and (2,1), respectively, and many interesting aspects of these transformations have been addressed, for example, [68][69][70][71][72][73][74][75][76][77].…”

Section: Summary Of the Papermentioning

confidence: 99%

Nonlocal charges from marginal deformations of 2D CFTs: Holographic TT¯ & TJ¯<

Araujo

2020

Phys. Rev. D

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In this paper we study generic features of nonlocal charges obtained from marginal deformations of Wess-Zumino-Novikov-Witten models. Using free-field representations of CFTs based on simply laced Lie algebras, one can use simple arguments to build the nonlocal charges; but for more general Lie algebras these methods are not strong enough to be generally used. We propose a brute force calculation where the nonlocality is associated to a new Lie algebra valued field, and from this prescription we impose several constraints on the algebra of nonlocal charges. Possible applications for Yang-Baxter and holographic TT and TJ deformations are also discussed.

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TT¯ deformations as TsT transformations

Cited by 48 publications

References 86 publications

TsT, $$ \mathrm{T}\overline{\mathrm{T}} $$ and black strings

TsT, $$ \mathrm{T}\overline{\mathrm{T}} $$ and black strings

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

Nonlocal charges from marginal deformations of 2D CFTs: Holographic TT¯ & TJ¯<

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