Metastable supersymmetry breaking in N=2 non-linear sigma-models

Claudio A. Scrucca; Jean-Claude Jacot

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Metastable supersymmetry breaking in N=2 non-linear sigma-models

Jean-Claude Jacot, Claudio A. Scrucca

High Energy Physics - Theory · Submitted 14 May 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This problem turns out to capture all the important qualitative features of the corresponding question in theories with local supersymmetry, where gravitational effects induce only quantitative modifications.

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What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.26 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.79 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We perform a general study of the issue of metastability for supersymmetry-breaking vacua in theories with N=1 and N=2 global supersymmetry. This problem turns out to capture all the important qualitative features of the corresponding question in theories with local supersymmetry, where gravitational effects induce only quantitative modifications. Moreover, it allows to directly compare the conditions arising in the N=1 and N=2 cases, since the latter becomes particular case of the former in the rigid limit. Our strategy consists in a systematic investigation of the danger of instability coming from the sGoldstini scalars, whose masses are entirely due to supersymmetry breaking mass-splitting effects. We start by reviewing the metastability conditions arising in general N=1 non-linear sigma-models with chiral and vector multiplets. We then turn to the case of general N=2 non-linear sigma-models with hyper and vector multiplets. We first reproduce and clarify the known no-go theorems applying to theories with only Abelian vector multiplets and only hyper multiplets, and then derive new results applying to more general cases. To make the comparison with N=1 models as clear as possible, we rely on a formulation of N=2 models where one of the supersymmetries is manifestly realized in terms of ordinary superfields, whereas the other is realized through non-trivial transformations. We give a self-contained account of such a construction of N=2 theories in N=1 superspace, generalizing previous work on various aspects to reach a general and coordinate-covariant construction. We also present a direct computation of the supertrace of the mass matrix.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We perform a general study of the issue of metastability for supersymmetry-breaking vacua in theories with N=1 and N=2 global supersymmetry.	contribution 0.98	0.94	0.06	asserted 0.89
s1	This problem turns out to capture all the important qualitative features of the corresponding question in theories with local supersymmetry, where gravitational effects induce only quantitative modifications.	interpretation 0.64	0.66	0.14	asserted 0.99
s2	Moreover, it allows to directly compare the conditions arising in the N=1 and N=2 cases, since the latter becomes particular case of the former in the rigid limit.	background 0.29	0.24	0.07	asserted 0.95
s3	Our strategy consists in a systematic investigation of the danger of instability coming from the sGoldstini scalars, whose masses are entirely due to supersymmetry breaking mass-splitting effects.	method 0.95	0.68	0.07	asserted 0.97
s4	We start by reviewing the metastability conditions arising in general N=1 non-linear sigma-models with chiral and vector multiplets.	method 0.80	0.47	0.03	asserted 0.87
s5	We then turn to the case of general N=2 non-linear sigma-models with hyper and vector multiplets.	method 0.57	0.65	0.03	asserted 0.68
s6	We first reproduce and clarify the known no-go theorems applying to theories with only Abelian vector multiplets and only hyper multiplets, and then derive new results applying to more general cases.	contribution 0.81	0.86	0.13	asserted 1.00
s7	To make the comparison with N=1 models as clear as possible, we rely on a formulation of N=2 models where one of the supersymmetries is manifestly realized in terms of ordinary superfields, whereas the other is realized through non-trivial transformations.	method 1.00	0.63	0.03	asserted 0.97
s8	We give a self-contained account of such a construction of N=2 theories in N=1 superspace, generalizing previous work on various aspects to reach a general and coordinate-covariant construction.	contribution 0.57	0.91	0.03	asserted 1.00
s9	We also present a direct computation of the supertrace of the mass matrix.	contribution 0.55	0.93	0.04	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original abstract

We perform a general study of the issue of metastability for supersymmetry-breaking vacua in theories with N=1 and N=2 global supersymmetry. This problem turns out to capture all the important qualitative features of the corresponding question in theories with local supersymmetry, where gravitational effects induce only quantitative modifications. Moreover, it allows to directly compare the conditions arising in the N=1 and N=2 cases, since the latter becomes particular case of the former in the rigid limit. Our strategy consists in a systematic investigation of the danger of instability coming from the sGoldstini scalars, whose masses are entirely due to supersymmetry breaking mass-splitting effects. We start by reviewing the metastability conditions arising in general N=1 non-linear sigma-models with chiral and vector multiplets. We then turn to the case of general N=2 non-linear sigma-models with hyper and vector multiplets. We first reproduce and clarify the known no-go theorems applying to theories with only Abelian vector multiplets and only hyper multiplets, and then derive new results applying to more general cases. To make the comparison with N=1 models as clear as possible, we rely on a formulation of N=2 models where one of the supersymmetries is manifestly realized in terms of ordinary superfields, whereas the other is realized through non-trivial transformations. We give a self-contained account of such a construction of N=2 theories in N=1 superspace, generalizing previous work on various aspects to reach a general and coordinate-covariant construction. We also present a direct computation of the supertrace of the mass matrix.

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9 arXiv papers cite this in 15 sentences

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Papers citing it · 11 sentences without a confident label

Cites it as background 3 papers

In N=2 theories, the situation is more interesting and less clear, even in the rigid limit [ref] .

Metastable spontaneous breaking of N=2 supersymmetry · Introduction · 0.89
This rigid version of the metastability problem was studied in some detail in [ref] , again using the strategy of looking at the masses of the sGoldstini.

Simple metastable de Sitter vacua in N=2 gauged supergravity · Introduction · 0.87
A comprehensive review of these results and some extensions of them within rigid supersymmetry can be found in [ref] .

Effects of heavy modes on vacuum stability in supersymmetric theories · Introduction · 0.99

What it cites · 43 sentences without a confident label

Contests 1 paper

One however also sees that the $N=2$ result of [ref] must be wrong by a factor of $2$ in its dependence on the curvature, whereas the sign is correct.

No metastable de Sitter vacua in N=2 supergravity with only hypermultiplets · Metastability · contest 0.93

Builds on 1 paper

In section 3 we present the case of $N=1$ theories with both chiral and vector multiplets, and describe the rigid version of the result of [ref] , generalized to non-Abelian gauge groups.

Metastable supergravity vacua with F and D supersymmetry breaking · Introduction · 0.87

Uses the method or tool of 4 papers

To work out these restrictions, we follow again the logic of [ref] , with some additional ingredients taken from [ref] (see also [ref] ) to obtain the most general allowed superpotential, and also some generalization to make the formulation covariant under general field reparametrizations.

Nonlinear N=2 Supersymmetry, Effective Actions and Moduli Stabilization · N=2 models with vector multiplets · 0.83
To work out these restrictions, we follow again the logic of [ref] , with some additional ingredients taken from [ref] (see also [ref] ) to obtain the most general allowed superpotential, and also some generalization to make the formulation covariant under general field reparametrizations.

Nonlinear Supersymmetry, Brane-bulk Interactions and Super-Higgs without Gravity · N=2 models with vector multiplets · 0.83
Notice finally that it is possible to reshuffle the scalar potential ([ref]) by proceeding in the following way, with manipulations that are similar to those used in [ref] to discuss truncations of $N=2$ to $N=1$ supergravity theories.

Supersymmetry reduction of N-extended supergravities in four dimensions · N=2 models with hyper and vector multiplets · 0.93

Compares with 6 papers

The above results are the rigid limit of the results obtained in [ref] for the supergravity case.

No metastable de Sitter vacua in N=2 supergravity with only hypermultiplets · Metastability · 0.91
The above result represents the rigid limit of the result obtained in [ref] for the supergravity case (see also [ref] for a derivation of the same result in the language of [ref] ).

N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map · Metastability · 0.84
The above result represents the rigid limit of the result obtained in [ref] for the supergravity case (see also [ref] for a derivation of the same result in the language of [ref] ).

Stable de Sitter Vacua from N=2 Supergravity · Metastability · 0.84

Cites as background 1 paper

During the completion of this work, the interesting paper [ref] appeared, which explores the possibility of constructing a low-energy effective description of $N=2$ theories below the supersymmetry breaking scale in terms of constrained superfields, containing only the two Goldstini and no other light state.

Goldstinos, Supercurrents and Metastable SUSY Breaking in N=2 Supersymmetric Gauge Theories · Conclusion · 0.96

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