Supersymmetric Landau-Ginzburg tensor models

Chang, Chi‐Ming; Colin-Ellerin, Sean; Rangamani, Mukund

doi:10.1007/jhep11(2019)007

Cited by 8 publications

(6 citation statements)

References 79 publications

(188 reference statements)

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“…We shall consider a supersymmetric analogue of such theories, which has been recently considered as a generalization of SYK model [28][29][30] or as a quantum mechanical supersymmetric tensor model [31][32][33][34]. Here we will present a similar model in continuous dimension d. We consider a minimal N = 1 supersymmetric model, where we have some number of scalar superfields Φ abc (x, θ), and indices a, b, c run from 1 to N .…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric tensor model at large N and small ε

Popov

2020

Phys. Rev. D

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We study the O(N ) 3 supersymmetric quantum field theory of a scalar superfield Φ abc with a tetrahedral interaction. In the large N limit the theory is dominated by the melonic diagrams. We solve the corresponding Dyson-Schwinger equations in continuous dimensions below 3. For sufficiently large N we find an IR stable fixed point and computed the 3 − expansion up to the second order of perturbation theory, which is in agreement with the solution of DS equations. We also describe the 1 + expansion of the model and discuss the possiblity of adding the Chern-Simons action to gauge the supersymmetric model.

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Section: Introductionmentioning

confidence: 99%

Supersymmetric tensor model at large N and small ε

Popov

2020

Phys. Rev. D

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“…Rank-3 tensor models based on fields with 3 indices 5 , φ abc , that transform under the symmetry group O(N ) 3 were introduced in [11 The simplest theories on can define are based on a single tensor-field which is either bosonic or fermionic. Theories with quartic interactions of both types, as well as supersymmetric theories, were introduced, and subsequently studied and generalized in, e.g., [52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67]. In this paper, we focus primarily on sextic interactions, for which it is natural to consider bosonic theories in d ≤ 3 dimensions, and fermionic theories in d ≤ 1 (i.e., quantum mechanical models).…”

Section: Preliminariesmentioning

confidence: 99%

Melonic Dominance in Subchromatic Sextic Tensor Models

Prakash,

Sinha

2019

Preprint

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We study tensor models based on O(N ) r symmetry groups constructed out of rankr tensors with order-q interaction vertices. We refer to those tensor models for which r < q − 1 as subchromatic. We focus most of our attention on sextic (q = 6) models with maximally-single-trace interactions. We show that only three subchromatic sextic maximally-single-trace interaction vertices exist: these are the r = 3 prism, the r = 3 wheel (or K 3,3 ) and the r = 4 octahedron. For theories based on these interactions we demonstrate that the set of Feynman diagrams that contribute to the free energy in the large N limit are melonic (or closely related to melonic diagrams, in the case of the prism) and thus can be explicitly summed.

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“…In this example one can track the emergence of higher spin symmetries in the integrable limit [33]. Analysis of two dimensional non-disordered models is more intricate and is explored for example in [34].…”

Section: Jhep11(2021)211 1 Introductionmentioning

confidence: 99%

A 3d disordered superconformal fixed point

Chang

Colin-Ellerin

Peng

et al. 2021

J. High Energ. Phys.

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We initiate the study of a three dimensional disordered supersymmetric field theory. Specifically, we consider a $$ \mathcal{N} $$ N = 2 large N Wess-Zumino like model with cubic superpotential involving couplings drawn from a Gaussian random ensemble. Taking inspiration from analyses of lower dimensional SYK like models we demonstrate that the theory flows to a strongly coupled superconformal fixed point in the infra-red. In particular, we obtain leading large N spectral data and operator product coefficients at the critical point. Moreover, the analytic control accorded by the model allows us to compare our results against those derived in the conformal bootstrap program and demonstrate consistency with general expectations.

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Supersymmetric Landau-Ginzburg tensor models

Cited by 8 publications

References 79 publications

Supersymmetric tensor model at large N and small ε

Supersymmetric tensor model at large N and small ε

Melonic Dominance in Subchromatic Sextic Tensor Models

A 3d disordered superconformal fixed point

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