$$ \mathcal{N} $$ -extended D = 4 supergravity, unconventional SUSY and graphene

Andrianopoli, Laura Maria; Cerchiai, Bianca L.; D’Auria, Riccardo; Gallerati, Antonio; Noris, R.; Trigiante, Mario; Zanelli, Jorge

doi:10.1007/jhep01(2020)084

Cited by 37 publications

(50 citation statements)

References 55 publications

(123 reference statements)

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“…The matter, though, might be faced by taking an alternative view, for which the gauge fields are internal rather than spatiotemporal. In this case, a link with the supersymmetry (SUSY) introduced by Zanelli and coworkers (that is a SUSY without superpartners, often referred to as unconventional SUSY (USUSY)) [42] can be established, as we have shown in [32], and other authors in various papers, see [43], and especially the recent [44]. Let us clarify here a point that is important for our future work.…”

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confidence: 64%

Analog hep-th, on Dirac materials and in general

Iorio¹

2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

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The work of our group on reproducing scenarios of high energy theoretical physics on Dirac materials, like graphene, is illustrated. The main goal of this paper is to explain how versatile these systems are, and how far and wide into the hep-th territory we can explore with them. I first review why these materials lend themselves to the emergence of special relativistic-like matter and space, with the focus on the emergence of curvature. Then the crucial role of the low dimensions (2+1), and Weyl symmetry, towards the realization of a Unruh-kind of phenomenon (along with other interesting scenarios, that include the BTZ black hole and de Sitter spacetime) is explained. Comments on how far we went in the direction of experiments are offered too, followed by a list of some fresh results: From the time-loop to spot torsion, to the generalized uncertainty principle stemming from and underlying (lattice) length; From a model of grain-boundaries and their relation to (A)dS and Poincaré spacetime algebras, to Unconventional Supersymmetry and the role of the two Dirac points of graphene; and more. In the concluding remarks I briefly try to make the case for the realization of a "CERN for analogs", where theorists. both of the hep-th and of the cond-mat types, sit next to experimentalists, mostly of the cond-mat type.

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confidence: 64%

Analog hep-th, on Dirac materials and in general

Iorio¹

2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

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“…Similarly, the torsion field ϕ as well enters into the action as an external field, because there is no dynamical kinetic term for it, although there are no issues about dimensionality here. A different view, when ϕ is constant, is to include it into the unperturbed action, where it plays the role of a mass S 0 → S m , see, e.g., [21]…”

Section: Bridge Between the Microscopic/ Classical Picture And Itmentioning

confidence: 99%

“…If we were able to do so, it would be an invaluable help to shed light on some of the above recalled mysteries on torsion. Let us mention, for instance, USUSY, especially in its ð2 þ 1Þ-dimensional formulation, that has been found to have many similarities with the Dirac field theory on graphene, see [19,20], and especially the recent [21]. Unfortunately, the exploration of the role of torsion in this setting found a geometric obstacle, just due to the 2 þ 1 dimensions: As we shall recall later, a Dirac spinor only couples to the fully antisymmetric component of torsion, hence three dimensions are necessary.…”

Section: Introductionmentioning

confidence: 99%

Torsion in quantum field theory through time-loops on Dirac materials

et al. 2020

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Assuming dislocations could be meaningfully described by torsion, we propose here a scenario based on the role of time in the low-energy regime of two-dimensional Dirac materials, for which coupling of the fully antisymmetric component of the torsion with the emergent spinor is not necessarily zero. Appropriate inclusion of time is our proposal to overcome well-known geometrical obstructions to such a program, that stopped further research of this kind. In particular, our approach is based on the realization of an exotic time-loop, that could be seen as oscillating particle-hole pairs. Although this is a theoretical paper, we moved the first steps toward testing the realization of these scenarios, by envisaging Gedankenexperiments on the interplay between an external electromagnetic field (to excite the pair particle-hole and realize the time-loops), and a suitable distribution of dislocations described as torsion (responsible for the measurable holonomy in the time-loop, hence a current). Our general analysis here establishes that we need to move to a nonlinear response regime. We then conclude by pointing to recent results from the interaction lasergraphene that could be used to look for manifestations of the torsion-induced holonomy of the time-loop, e.g., as specific patterns of suppression/generation of higher harmonics. 1 In the following we refer to two dimensional Dirac materials, with hexagonal lattice. Examples are graphene, germanene, silicene [9]. 2 We use Latin indices a; b; … for tangent/flat space and Greek indices μ; ν; … for base curved manifold. We choose the signature η ab ¼ diagðþ; −; −Þ. The Vielbeins are denoted by e a μ and their inverse by E μ a .3 This is due to the reducible, rather than irreducible, representation of the Lorentz group we use. CIAPPINA, IORIO, PAIS, and ZAMPELI PHYS. REV. D 101, 036021 (2020) 036021-2 FIG. 2. Idealized time-loop. At t ¼ 0, the hole (yellow) and the particle (black) start their journey from y ¼ 0, in opposite directions. Evolving forward in time, at t ¼ t Ã > 0, the hole reaches −y Ã , while the particle reaches þy Ã , (blue portion of the circuit). Then they come back to the original position, y ¼ 0, at t ¼ 2t Ã (red portion of the circuit). This can be repeated indefinitely. On the far right, the equivalent time-loop, where the hole moving forward in time is replaced by a particle moving backward in time.

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“…STM spectroscopy provides insight into the surface electronic properties of the substrate, being the tunneling current strongly affected by the local density of states ρ s . The latter is in turn related to the probability density P through definition (22). A typical STM device consists of a very sharp conductive tip which is brought within tunneling distance (< nm) from a sample surface, using a three-dimensional piezoelectric scanner.…”

Section: Experimental Effects: Local Density Of Statesmentioning

confidence: 99%

“…In the context of high energy physics, the emergence of intrinsic and extrinsic curvature in graphene-like materials can be used to investigate the fundamental physics of the quantum Dirac dynamics in curved, torsion-free spacetimes, as well as to probe certain quantum gravity scenarios [18,19]. There are also some theoretical results that conjecture the use of graphene to have alternative realizations of Supersymmetry [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Negative-Curvature Spacetime Solutions for Graphene

Gallerati¹

2020

Preprint

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We provide a detailed analysis of the electronic properties of graphene-like materials with charge carriers living on a curved substrate, focusing in particular on constant negative-curvature spacetime. An explicit parametrization is also worked out in the remarkable case of Beltrami geometry, with an analytic solution for the pseudoparticles modes living on the curved bidimensional surface. We will then exploit the correspondent massless Dirac description, to determine how it affects the sample local density of states.

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$$ \mathcal{N} $$ -extended D = 4 supergravity, unconventional SUSY and graphene

Cited by 37 publications

References 55 publications

Analog hep-th, on Dirac materials and in general

Analog hep-th, on Dirac materials and in general

Torsion in quantum field theory through time-loops on Dirac materials

Negative-Curvature Spacetime Solutions for Graphene

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