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Journal article
Chern-Simons-rmatter dualities with SO and USp gauge groups
Journal of High Energy Physics, Vol.2017(2), 072
14/Feb/2017
Abstract
In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups. In particular, we conjecture dualities between SO(N)(k) Chern-Simons theories coupled to N-f real scalars in the fundamental representation, and SO(k)(-N+Nf/2) theories coupled to N-f real (Majorana) fermions in the fundamental. For N-f = 0 these are just level-rank dualities of pure Chern-Simons theories, whose precise form we clarify. They lead us to propose new gapped boundary states of topological insulators and superconductors. For k = 1 we get an interesting low-energy duality between N-f free Majorana fermions and an SO(N)(1) Chern-Simons theory coupled to N-f scalar fields (with N-f ≤ N − 2).
Details
- Title
- Chern-Simons-rmatter dualities with SO and USp gauge groups
- Creators
- Ofer Aharony (null) - 972WIS_INST___88Francesco Benini (Corresponding Author) - Institute for Advanced Study (United States, Princeton) - IASPo-Shen Hsin (null) - Princeton UniversityNathan Seiberg (null) - Institute for Advanced Study (United States, Princeton) - IAS
- Resource Type
- Journal article
- Publication Details
- Journal of High Energy Physics, Vol.2017(2), 072; 14/Feb/2017
- Number of pages
- 30
- Language
- English
- DOI
- https://doi.org/10.1007/JHEP02(2017)072
- Grant note
- We would like to thank E. Witten and R. Yacoby for useful discussions. The work of OA was supported in part by the I-CORE program of the Planning and Budgeting Committee and the Israel Science Foundation (grant number 1937/12), by an Israel Science Foundation center for excellence grant, by the Minerva foundation with funding from the Federal German Ministry for Education and Research, by a Henri Gutwirth award from the Henri Gutwirth Fund for the Promotion of Research, and by the ISF within the ISF-UGC joint research program framework (grant no. 1200/14). OA is the Samuel Sebba Professorial Chair of Pure and Applied Physics. FB is supported in part by the MIUR-SIR grant RBSI1471GJ “Quantum Field Theories at Strong Coupling: Exact Computations and Applications”, by the INFN, and by the IBM Einstein Fellowship at the Institute for Advanced Study. The work of PH is supported by Physics Department of Princeton University. NS was supported in part by DOE grant DE-SC0009988_ALMAME_DELIMITER_
- Record Identifier
- 993263110303596
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