Partial breaking of arbitrary amount of d=3 supersymmetry

Nikolay Kozyrev (Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia)

Among the solutions of string theory and supergravity which preserve some fraction of supersymmetry, the best known are those that leave one half of the supersymmetry unbroken, and there is a large number of field theory models with this pattern of supersymmetry breaking. However, a lot of brane configurations exist which preserve only 1/4, 1/8, or more exotic fractions of supersymmetry, and field theory side of these systems remains largely unexplored. To find whether the formalism of nonlinear realizations is useful in construction of models of this type, we consider the systems of some N0 scalar and vector N=1, d=3 Goldstone supermultiplets. We find that it is possible to construct an SO(N0) invariant theory of N0 scalar multiplets with N0 broken supersymmetries. For N0=3 or N05 its action is not of Nambu-Goto type and its structure remains universal for arbitrary N0. The cases of N0=1, 2 correspond to the membranes in D=4 and D=5, respectively, while for N0=4 some arbitrariness in the action remains, and with proper choice of parameters, it is possible to obtain the action of the membrane in D=7 in the bosonic limit. It is also shown that the SO(N0) invariant action of N0 vector multiplets with 1/N0 pattern of supersymmetry breaking does not exist for arbitrary N0.

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      "title": "Partial breaking of arbitrary amount of <math><mi>d</mi><mo>=</mo><mn>3</mn></math> supersymmetry"
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  "abstracts": [
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      "source": "APS", 
      "value": "Among the solutions of string theory and supergravity which preserve some fraction of supersymmetry, the best known are those that leave one half of the supersymmetry unbroken, and there is a large number of field theory models with this pattern of supersymmetry breaking. However, a lot of brane configurations exist which preserve only <math><mn>1</mn><mo>/</mo><mn>4</mn></math>, <math><mn>1</mn><mo>/</mo><mn>8</mn></math>, or more exotic fractions of supersymmetry, and field theory side of these systems remains largely unexplored. To find whether the formalism of nonlinear realizations is useful in construction of models of this type, we consider the systems of some <math><msub><mi>N</mi><mn>0</mn></msub></math> scalar and vector <math><mi>N</mi><mo>=</mo><mn>1</mn></math>, <math><mi>d</mi><mo>=</mo><mn>3</mn></math> Goldstone supermultiplets. We find that it is possible to construct an <math><mi>S</mi><mi>O</mi><mo>(</mo><msub><mi>N</mi><mn>0</mn></msub><mo>)</mo></math> invariant theory of <math><msub><mi>N</mi><mn>0</mn></msub></math> scalar multiplets with <math><msub><mi>N</mi><mn>0</mn></msub></math> broken supersymmetries. For <math><msub><mi>N</mi><mn>0</mn></msub><mo>=</mo><mn>3</mn></math> or <math><msub><mi>N</mi><mn>0</mn></msub><mo>\u2265</mo><mn>5</mn></math> its action is not of Nambu-Goto type and its structure remains universal for arbitrary <math><msub><mi>N</mi><mn>0</mn></msub></math>. The cases of <math><msub><mi>N</mi><mn>0</mn></msub><mo>=</mo><mn>1</mn></math>, 2 correspond to the membranes in <math><mi>D</mi><mo>=</mo><mn>4</mn></math> and <math><mi>D</mi><mo>=</mo><mn>5</mn></math>, respectively, while for <math><msub><mi>N</mi><mn>0</mn></msub><mo>=</mo><mn>4</mn></math> some arbitrariness in the action remains, and with proper choice of parameters, it is possible to obtain the action of the membrane in <math><mi>D</mi><mo>=</mo><mn>7</mn></math> in the bosonic limit. It is also shown that the <math><mi>S</mi><mi>O</mi><mo>(</mo><msub><mi>N</mi><mn>0</mn></msub><mo>)</mo></math> invariant action of <math><msub><mi>N</mi><mn>0</mn></msub></math> vector multiplets with <math><mn>1</mn><mo>/</mo><msub><mi>N</mi><mn>0</mn></msub></math> pattern of supersymmetry breaking does not exist for arbitrary <math><msub><mi>N</mi><mn>0</mn></msub></math>."
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Published on:
10 July 2020
Publisher:
APS
Published in:
Physical Review D , Volume 102 (2020)
Issue 2
DOI:
https://doi.org/10.1103/PhysRevD.102.026011
arXiv:
1911.08997
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: