(Super)Schwarzian mechanics

Kozyrev, Nikolay; Krivonos, S.

doi:10.1007/jhep03(2022)120

Cited by 5 publications

(2 citation statements)

References 23 publications

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“…Another possible future direction consists in considering supersymmetric extensions of the Carrollian and nonrelativistic boundary Schwarzian actions in [46,47] along the lines of [77] (some work is currently in progress on this point). Besides, the non-relativistic JT supergravity theory may serve as a starting point to consider the supersymmetric extension of the flat space boundary action that appeared in [78].…”

Section: Discussionmentioning

confidence: 99%

Carrollian and non-relativistic Jackiw–Teitelboim supergravity

Ravera

Zorba

2023

Eur. Phys. J. C

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We present non- and ultra-relativistic Jackiw–Teitelboim (JT) supergravity as metric BF theories based on the extended Newton–Hooke and extended AdS Carroll superalgebras in two spacetime dimensions, respectively. The extended Newton–Hooke structure, and, in particular, the invariant metric necessary for the BF construction of non-relativistic JT supergravity, is obtained by performing an expansion of the $$\mathcal {N}=2$$ N = 2 AdS$$_2$$ 2 superalgebra. Subsequently, we introduce the extended AdS$$_2$$ 2 Carroll superalgebra, and the associated invariant metric, as a suitable redefinition of the extended Newton–Hooke superalgebra. The mapping involved can be seen as the supersymmetric extension of the duality existing at the purely bosonic level between the extended Newton–Hooke algebra with (positive) negative cosmological constant and the extended (A)dS Carroll algebra in two dimensions. Finally, we provide the Carrollian JT supergravity action in the BF formalism. Moreover, we show that both the non-relativistic and the ultra-relativistic theories presented can also be obtained by direct expansion of $$\mathcal {N}=2$$ N = 2 JT supergravity.

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Section: Discussionmentioning

confidence: 99%

Carrollian and non-relativistic Jackiw–Teitelboim supergravity

Ravera

Zorba

2023

Eur. Phys. J. C

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“…Other deformations of QM theories with more supersymmetry, albeit not related to T T , have been considered in[94][95][96][97]. See also[98][99][100] for discussions of the super-Schwarzian with more SUSY.…”

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confidence: 99%

$$ T\overline{T} $$ deformations of supersymmetric quantum mechanics

Ebert

Ferko

Sun

et al. 2022

J. High Energ. Phys.

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We define a manifestly supersymmetric version of the $$ T\overline{T} $$ T T ¯ deformation appropriate for a class of (0 + 1)-dimensional theories with $$ \mathcal{N} $$ N = 1 or $$ \mathcal{N} $$ N = 2 supersymmetry, including one presentation of the super-Schwarzian theory which is dual to JT supergravity. These deformations are written in terms of Noether currents associated with translations in superspace, so we refer to them collectively as f($$ \mathcal{Q} $$ Q ) deformations. We provide evidence that the f($$ \mathcal{Q} $$ Q )) deformations of $$ \mathcal{N} $$ N = 1 and $$ \mathcal{N} $$ N = 2 theories are on-shell equivalent to the dimensionally reduced supercurrent-squared deformations of 2d theories with $$ \mathcal{N} $$ N = (0, 1) and $$ \mathcal{N} $$ N = (1, 1) supersymmetry, respectively. In the $$ \mathcal{N} $$ N = 1 case, we present two forms of the f($$ \mathcal{Q} $$ Q ) deformation which drive the same flow, and clarify their equivalence by studying the analogous equivalent deformations in the non-supersymmetric setting.

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N=4 supersymmetric Schwarzian with D(1,2;α) symmetry

Kozyrev¹,

Krivonos²

2022

Phys. Rev. D

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(Super)Schwarzian mechanics

Cited by 5 publications

References 23 publications

Carrollian and non-relativistic Jackiw–Teitelboim supergravity

Carrollian and non-relativistic Jackiw–Teitelboim supergravity

$$ T\overline{T} $$ deformations of supersymmetric quantum mechanics

N=4 supersymmetric Schwarzian with D(1,2;α) symmetry

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