ModMax meets Susy

Bandos, Igor A.; Lechner, Kurt; Sorokin, Dmitri; Townsend, Paul

doi:10.1007/jhep10(2021)031

Cited by 56 publications

(41 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that study of duality invariant models, with and without supersymmetry, has a very long history. We refer the reader to the following (incomplete) list of papers and references therein [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

On Current-Squared Flows and ModMax Theories

Ferko,

Smith,

Tartaglino-Mazzucchelli

2022

Preprint

View full text Add to dashboard Cite

We show that the recently introduced ModMax theory of electrodynamics and its Born-Infeld-like generalization are related by a flow equation driven by a quadratic combination of stress-energy tensors. The operator associated to this flow is a 4d analogue of the T T deformation in two dimensions. This result generalizes the observation that the ordinary Born-Infeld Lagrangian is related to the free Maxwell theory by a current-squared flow. As in that case, we show that no analogous relationship holds in any other dimension besides d = 4. We also demonstrate that the N = 1 supersymmetric version of the ModMax-Born-Infeld theory obeys a related supercurrent-squared flow which is formulated directly in N = 1 superspace.

show abstract

Section: Introductionmentioning

confidence: 99%

On Current-Squared Flows and ModMax Theories

Ferko,

Smith,

Tartaglino-Mazzucchelli

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…I thank Dmitri Sorokin for kindly informing me of [54]. I am grateful to Stefan Theisen for a discussion, and to Michael Ponds and Emmanouil Raptakis for comments on the manuscript.…”

Section: Acknowledgementsmentioning

confidence: 99%

“…6 A year ago, it was shown that there exists a unique model for conformal duality-invariant electrodynamics [52] (see also [53]). Recently its N = 1 superconformal extension has been introduced [54]. Below we will show how the N = 1 superconformal duality-invariant model of [54] naturally occurs within the framework developed in [8,16,43].…”

mentioning

confidence: 95%

“…Recently its N = 1 superconformal extension has been introduced [54]. Below we will show how the N = 1 superconformal duality-invariant model of [54] naturally occurs within the framework developed in [8,16,43]. This paper is organised as follows.…”

mentioning

confidence: 99%

“…This paper is organised as follows. As a warmup exercise, in section 2 we give a new derivation of the recently constructed N = 1 superconformal duality-invariant model [54]. Section 3 describes the new N = 2 superconformal duality-invariant models.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Superconformal duality-invariant models and $\mathcal{N} = 4$ SYM effective action

Kuzenko

2021

Preprint

View full text Add to dashboard Cite

We present N = 2 superconformal U(1) duality-invariant models for an Abelian vector multiplet coupled to conformal supergravity. In a Minkowski background, such a nonlinear theory is expected to describe (the planar part of) the low-energy effective action for the N = 4 SU(N ) super-Yang-Mills (SYM) theory on its Coulomb branch where (i) the gauge group SU(N ) is spontaneously broken to SU(N − 1) × U(1); and (ii) the dynamics is captured by a single N = 2 vector multiplet associated with the U(1) factor of the unbroken group. Additionally, a local U(1) duality-invariant action generating the N = 2 super-Weyl anomaly is proposed. By providing a new derivation of the recently constructed U(1) duality-invariant N = 1 superconformal electrodynamics, we introduce its SL(2, R) duality-invariant coupling to the dilaton-axion multiplet.2 For an alternative two-loop calculation see [15].3 Further aspects of duality-invariant theories with higher derivatives were studied, e.g., in [26][27][28][29]. 4 The Ivanov-Zupnik (IZ) approach was inspired by the structure of the N = 3 supersymmetric Born-Infeld action proposed in [22]. 5 The IZ approach [23,24] has also been generalised to higher dimensions in [45]. It has been used [46] to establish the relation between helicity conservation for the tree-level scattering amplitudes and the

show abstract

Introductory Notes on Non‐linear Electrodynamics and its Applications

Sorokin

2022

Fortschritte der Physik

View full text Add to dashboard Cite

In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action describing non-linear corrections to Maxwell's theory due to quantum electron-positron one-loop effects. Since then, these and a variety of other models of non-linear electrodynamics proposed in the course of decades have been extensively studied and used in a wide range of areas of theoretical physics including string theory, gravity, cosmology and condensed matter (CMT). In these notes I will overview general properties of non-linear electrodynamics and particular models which are distinguished by their symmetries and physical properties, such as a recently discovered unique non-linear modification of Maxwell's electrodynamics which is conformal and duality invariant. I will also sketch how non-linear electromagnetic effects may manifest themselves in physical phenomena (such as vacuum birefringence), in properties of gravitational objects (e.g. charged black holes) and in the evolution of the universe, and can be used, via gravity/CMT holography, for the description of properties of certain conducting and insulating materials.

show abstract

ModMax meets Susy

Cited by 56 publications

References 46 publications

On Current-Squared Flows and ModMax Theories

On Current-Squared Flows and ModMax Theories

Superconformal duality-invariant models and $\mathcal{N} = 4$ SYM effective action

Introductory Notes on Non‐linear Electrodynamics and its Applications

Contact Info

Product

Resources

About