<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-duality of tree-level<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-matrix elements in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>D</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>-brane effective action

Babaei-Aghbolagh, H.; Garousi, Mohammad R.

doi:10.1103/physrevd.88.026008

Cited by 9 publications

(2 citation statements)

References 40 publications

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“…On the other hand, it has been shown [50] that the leading order terms of the scattering amplitude of four gauge fields are reproduced by the F 4 terms of the BI action. The on-shell BI action is invariant under the linear S-duality up to F 4 terms [51,52]. The SL(2, R) invariant structure of this amplitude agrees with eq.…”

Section: Sl(2 R) Invariant Structure Of 4d Tt Operatorsupporting

confidence: 77%

$$ T\overline{T} $$-like flows in non-linear electrodynamic theories and S-duality

Babaei-Aghbolagh

Velni

Yekta

et al. 2021

J. High Energ. Phys.

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We investigate the $$ T\overline{T} $$ T T ¯ -like flows for non-linear electrodynamic theories in D(=2n)-dimensional spacetime. Our analysis is restricted to the deformation problem of the classical free action by employing the proposed $$ T\overline{T} $$ T T ¯ operator from a simple integration technique. We show that this flow equation is compatible with $$ T\overline{T} $$ T T ¯ deformation of a scalar field theory in D = 2 and of a non-linear Born-Infeld type theory in D = 4 dimensions. However, our computation discloses that this kind of $$ T\overline{T} $$ T T ¯ flow in higher dimensions is essentially different from deformation that has been derived from the AdS/CFT interpretations. Indeed, the gravity that may be exist as a holographic dual theory of this kind of effective Born-Infeld action is not necessarily an AdS space. As an illustrative investigation in D = 4, we shall also show that our construction for the $$ T\overline{T} $$ T T ¯ operator preserves the original SL(2, ℝ) symmetry of a non-supersymmetric Born-Infeld theory, as well as $$ \mathcal{N} $$ N = 2 supersymmetric model. It is shown that the corresponding SL(2, ℝ) invariant action fixes the relationship between the $$ T\overline{T} $$ T T ¯ operator and quadratic form of the energy-momentum tensor in D = 4.

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Section: Sl(2 R) Invariant Structure Of 4d Tt Operatorsupporting

confidence: 77%

$$ T\overline{T} $$-like flows in non-linear electrodynamic theories and S-duality

Babaei-Aghbolagh

Velni

Yekta

et al. 2021

J. High Energ. Phys.

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“…It has been observed in[22] that the combination of massless poles and contact terms of the S-matrix element of six gauge fields at the leading order of α ′ which is reproduced by the DBI action, is invariant under linear S-duality.…”

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confidence: 99%

Off-shell D-brane action at orderα′2in flat spacetime

Garousi

2016

Phys. Rev. D

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Even-point multi-loop unitarity and its applications: exponentiation, anomalies and evanescence

Carrasco,

Pavao

2024

J. High Energ. Phys.

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We identify novel structure in newly computed multi-loop amplitudes and quantum actions for even-point effective field theories, including both the nonlinear sigma model (NLSM) and double-copy gauge theories such as Born-Infeld and its supersymmetric generalizations. We exploit special properties of all even-point theories towards establishing an efficient unitarity based amplitude construction. In doing so, we find evidence that the leading IR divergence of NLSM amplitudes exponentiates when the target space is $$ \mathbbm{CP} $$ CP 1 ≅ SU(2)/U(1). We then systematically compute the two-loop anomalous behavior of Born-Infeld, and find that the counterterms needed to restore U(1) invariant behavior at loop-level can be constructed via a symmetric-structure double-copy. We also demonstrate that the divergent part of the one-minus (−+++) two-loop anomaly vanishes upon introducing an evanescent operator. In addition to these purely photonic counterterms, we verify through explicit calculation that the anomalous matrix elements that violate U(1) duality invariance can be alternatively cancelled by summing over internal $$ \mathcal{N} $$ N = 4 DBIVA superfields. Finally we find that $$ \mathcal{N} $$ N = 4 Dirac-Born-Infeld-Volkov-Akulov (DBIVA) amplitudes admit double-copy construction through two-loop order by reproducing our unitarity based result with a double copy between color-dual $$ \mathcal{N} $$ N = 4 super-Yang-Mills and our two-loop NLSM amplitudes. This result supports the possibility of color-dual representations for NLSM beyond one-loop. We conclude with an overview of how D-dimensional four-photon counterterms can be constructed in generality with the symmetric-structure double-copy, and outline a convenient way of counting evanescent operators using Hilbert series as generating functions.

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S-duality of tree-levelS-matrix elements inD3-brane effective action

Cited by 9 publications

References 40 publications

$$ T\overline{T} $$-like flows in non-linear electrodynamic theories and S-duality

$$ T\overline{T} $$-like flows in non-linear electrodynamic theories and S-duality

Off-shell D-brane action at orderα′2in flat spacetime

Even-point multi-loop unitarity and its applications: exponentiation, anomalies and evanescence

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