On supersymmetric Lifshitz field theories

Shira Chapman; Yaron Oz; Avia Raviv-Moshe

doi:10.1007/JHEP10(2015)162

On supersymmetric Lifshitz field theories

Shira Chapman, Yaron Oz, Avia Raviv-Moshe

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

Abstract: We consider field theories that exhibit a supersymmetric Lifshitz scaling with two real supercharges. The theories can be formulated in the language of stochastic quan-tization. We construct the free field supersymmetry algebra with rotation singlet fermions for an even dynamical exponent z = 2k in an arbitrary dimension. We analyze the classical and quantum z = 2 supersymmetric interactions in 2 + 1 and 3 + 1 spacetime dimensions and reveal a supersymmetry preserving quantum diagrammatic cancellation. Stochastic quantization indicates that Lifshitz scale invariance is broken in the (3 + 1)-dimensional quantum theory.

Original language	English
Article number	162
Journal	Journal of High Energy Physics
Volume	2015
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2015)162
State	Published - 1 Oct 2015
Externally published	Yes

Keywords

Space-Time Symmetries
Supersymmetric Effective Theories

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP10(2015)162

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abstract = "Abstract: We consider field theories that exhibit a supersymmetric Lifshitz scaling with two real supercharges. The theories can be formulated in the language of stochastic quan-tization. We construct the free field supersymmetry algebra with rotation singlet fermions for an even dynamical exponent z = 2k in an arbitrary dimension. We analyze the classical and quantum z = 2 supersymmetric interactions in 2 + 1 and 3 + 1 spacetime dimensions and reveal a supersymmetry preserving quantum diagrammatic cancellation. Stochastic quantization indicates that Lifshitz scale invariance is broken in the (3 + 1)-dimensional quantum theory.",

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N2 - Abstract: We consider field theories that exhibit a supersymmetric Lifshitz scaling with two real supercharges. The theories can be formulated in the language of stochastic quan-tization. We construct the free field supersymmetry algebra with rotation singlet fermions for an even dynamical exponent z = 2k in an arbitrary dimension. We analyze the classical and quantum z = 2 supersymmetric interactions in 2 + 1 and 3 + 1 spacetime dimensions and reveal a supersymmetry preserving quantum diagrammatic cancellation. Stochastic quantization indicates that Lifshitz scale invariance is broken in the (3 + 1)-dimensional quantum theory.

AB - Abstract: We consider field theories that exhibit a supersymmetric Lifshitz scaling with two real supercharges. The theories can be formulated in the language of stochastic quan-tization. We construct the free field supersymmetry algebra with rotation singlet fermions for an even dynamical exponent z = 2k in an arbitrary dimension. We analyze the classical and quantum z = 2 supersymmetric interactions in 2 + 1 and 3 + 1 spacetime dimensions and reveal a supersymmetry preserving quantum diagrammatic cancellation. Stochastic quantization indicates that Lifshitz scale invariance is broken in the (3 + 1)-dimensional quantum theory.

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KW - Supersymmetric Effective Theories

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JO - Journal of High Energy Physics

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On supersymmetric Lifshitz field theories

Abstract

Keywords

ASJC Scopus subject areas

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