Gauge coupling field, currents, anomalies and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> super-Yang–Mills effective actions

Ambrosetti, Nicola; Arnold, Daniel; Derendinger, Jean-Pierre; Hartong, Jelle

doi:10.1016/j.nuclphysb.2016.12.011

Cited by 3 publications

(6 citation statements)

References 60 publications

(155 reference statements)

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“…This section discusses the supercurrent superfields and equations relevant for arbitrary two-derivative N = 1 lagrangian field theories, following refs. [6,7] and also borrowing several results from ref. [8].…”

Section: Supercurrent Structuresmentioning

confidence: 77%

“…If the theory is coupled with diffeomorphism invariance to a background metric g µν or to a vierbein e a µ , the Belinfante tensor is also obtained as They are defined by assigning scale dimensions in matrix D (or its eigenvalues w) to fields or operators. The scale or dilatation current depends on these scale dimensions: 7) in terms of the Belinfante energy-momentum tensor, with virial current…”

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confidence: 99%

“…TrF µν F µν for all functions H: the quantum corrections to H appear in the kinetic lagrangian −(H CC ) −1 (∂ µ σ)(∂ µ σ). It is admissible to work with C and σ but the resulting chiral35 See refs [24,7]…”

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confidence: 99%

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Currents in supersymmetric field theories

Derendinger¹

2016

Proceedings of 18th International Conference From the Planck Scale to the Electroweak Scale — PoS(PLANCK 2015)

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A general formalism to construct and improve supercurrents and source or anomaly superfields in two-derivative N = 1 supersymmetric theories is presented. It includes arbitrary gauge and chiral superfields and a linear superfield coupled to gauge fields. These families of supercurrent structures are characterized by their energy-momentum tensors and R currents and they display a specific relation to the dilatation current of the theory. The linear superfield is introduced in order to describe the gauge coupling as a background (or propagating) field. Supersymmetry does not constrain the dependence on this gauge coupling field of gauge kinetic terms and holomorphicity restrictions are absent. Applying these results to an effective (Wilson) description of super-YangMills theory, matching or cancellation of anomalies leads to an algebraic derivation of the allorder NSVZ β function.

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Section: Supercurrent Structuresmentioning

confidence: 77%

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confidence: 99%

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Currents in supersymmetric field theories

Derendinger¹

2016

Proceedings of 18th International Conference From the Planck Scale to the Electroweak Scale — PoS(PLANCK 2015)

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“…Generalizations of this case involving the supercurrent multiplets described in [27,[47][48][49][50][51][52] might be possible, but merit separate investigation. The operator content of the FZ multiplet, which has 12+12 component fields, includes the conserved supersymmetry current S µα , its conjugate Sµ α and the conserved symmetric energy-momentum tensor T µν :…”

Section: One Interesting Property Enjoyed Bymentioning

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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“…37 have recently been correctly tied to the breaking of supersymmetry on a l l scales in ref. [45] . −→ Finally lets turn to the mixing matrix u 11 ( eqs.…”

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confidence: 99%

A review of neutrino properties Neutrino oscillations - a historical overview and its projection

Minkowski¹

2018

EPJ Web Conf.

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Abstract. In a first part neutrino properties are presented from the beginnings through the letter of Wolfgang Pauli on 4. December 1930 suggesting a new neutral fermion to the "Radioactive Ladies and Gentlemen" at a Conference in Tübingen, contributing to the first oscillation cycle, based on my review at the meeting "Neutrino Telescopes in Venice" in 2005. cited in [1] . In the remaining part I shall present a selection of neutrino properties featuring the structure of mass and mixing of the light and heavy neutrino flavors, a symmetric , complex 6 by 6 matrix within the unifying SO10 gauge group, and present prospects for the detection of the leptonflavor violating processes B s → µ e ; B → K µ e, also such involving b-flavored baryons .

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Gauge coupling field, currents, anomalies and N=1 super-Yang–Mills effective actions

Cited by 3 publications

References 60 publications

Currents in supersymmetric field theories

Currents in supersymmetric field theories

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

A review of neutrino properties Neutrino oscillations - a historical overview and its projection

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