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Branes and Supersymmetry Breaking in Three Dimensional Gauge Theories

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arxiv hep-th/9908075 v1 pith:NSFQLRLM submitted 1999-08-09 hep-th

Oren Bergman , Amihay Hanany , Andreas Karch , Barak Kol This is my paper · ORCID
classification hep-th
keywords gaugesupersymmetrybrokensupersymmetrictheorybreakinggrouptheories
verification ladder T0 review T1 audit T2 compute T3 formal
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It is shown that supersymmetry is spontaneously broken in certain three-dimensional supersymmetric gauge theories, by using the s-rule in their string theory realization as brane configurations. In particular, supersymmetry is broken in N=3 supersymmetric Yang-Mills-Chern-Simons theory with gauge group SU(n) and CS coefficient k, as well as in its N=2 and N=1 deformations, when n>|k|. In addition, supersymmetry is broken in the N=1 mass deformation of N=2 supersymmetric Yang-Mills theory with gauge group SU(n) and one matter multiplet when n>1. In the latter case the breaking is induced by an instanton-generated repulsive potential.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves

    hep-th 2026-03 conditional novelty 7.0 of 10

    Derives Airy representation for S^3 partition functions in M2-brane theories that exactly matches equivariant topological string predictions and proposes a new CY4 to C x CY3 correspondence via quantum curves.

  2. Dimers for Relativistic Toda Models with Reflective Boundaries

    hep-th 2025-10 unverdicted novelty 7.0 of 10

    Dimer graphs are constructed for relativistic Toda chains of listed Lie algebra types, and Seiberg-Witten curves of 5d N=1 pure SYM for group G are identified as spectral curves of the dual Toda chain for G^vee.

  3. Orthosymplectic Chern-Simons Matter Theories: Global Forms, Dualities, and Vacua

    hep-th 2025-09 conditional novelty 7.0 of 10

    A magnetic quiver framework is introduced to extract maximal branches and global forms of 3d orthosymplectic Chern-Simons matter theories from brane configurations, with global data fixed via indices and Hilbert series.

  4. Five-brane webs, 3d $\mathcal{N}=2$ theories and quantum curves

    hep-th 2025-01 conditional novelty 7.0 of 10

    The Newton polygon of the quantum curve for a 3d N=2 brane configuration is conjectured to equal the toric diagram dual to its (p,q) 5-brane web, with derivations for Lagrangian cases and new matrix models for p>=2.

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