×

Janus configurations, Chern-Simons couplings, and the {\(\theta\)}-angle in \(\mathcal{N} = 4\) super Yang-Mills theory. (English) Zbl 1290.81065

Summary: We generalize the half-BPS Janus configuration of four-dimensional \(\mathcal{N} = 4 \) super Yang-Mills theory to allow the theta-angle, as well as the gauge coupling, to vary with position. We show that the existence of this generalization is closely related to the existence of novel three-dimensional Chern-Simons theories with \(\mathcal{N} = 4 \) supersymmetry. Another closely related problem, which we also elucidate, is the D3-NS5 system in the presence of a four-dimensional theta-angle.

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
58J28 Eta-invariants, Chern-Simons invariants

References:

[1] D. Bak, M. Gutperle and S. Hirano, A dilatonic deformation of AdS5and its field theory dual, JHEP05 (2003) 072 [hep-th/0304129] [SPIRES]. · doi:10.1088/1126-6708/2003/05/072
[2] A.B. Clark, D.Z. Freedman, A. Karch and M. Schnabl, The dual of Janus ((<:) ↔ (:>)) an interface CFT, Phys. Rev.D 71 (2005) 066003 [hep-th/0407073] [SPIRES].
[3] A. Clark and A. Karch, Super Janus, JHEP10 (2005) 094 [hep-th/0506265] [SPIRES]. · doi:10.1088/1126-6708/2005/10/094
[4] E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS type IIB interface solutions I: local solution and supersymmetric Janus, JHEP06 (2007) 021 [arXiv:0705.0022] [SPIRES]. · doi:10.1088/1126-6708/2007/06/021
[5] E. D’Hoker, J. Estes and M. Gutperle, Interface Yang-Mills, supersymmetry and Janus, Nucl. Phys.B 753 (2006) 16 [hep-th/0603013] [SPIRES]. · Zbl 1215.81106 · doi:10.1016/j.nuclphysb.2006.07.001
[6] H.-C. Kao and K.-M. Lee, Selfdual Chern-Simons systems with an N = 3 extended supersymmetry, Phys. Rev.D 46 (1992) 4691 [hep-th/9205115] [SPIRES].
[7] H.-C. Kao, K.-M. Lee and T. Lee, The Chern-Simons coefficient in supersymmetric Yang-Mills Chern-Simons theories, Phys. Lett.B 373 (1996) 94 [hep-th/9506170] [SPIRES].
[8] A. Kapustin and M.J. Strassler, On mirror symmetry in three dimensional abelian gauge theories, JHEP04 (1999) 021 [hep-th/9902033] [SPIRES]. · Zbl 0953.81097 · doi:10.1088/1126-6708/1999/04/021
[9] D. Gaiotto and X. Yin, Notes on superconformal Chern-Simons-matter theories, JHEP08 (2007) 056 [arXiv:0704.3740] [SPIRES]. · Zbl 1326.81205 · doi:10.1088/1126-6708/2007/08/056
[10] J.H. Schwarz, Superconformal Chern-Simons theories, JHEP11 (2004) 078 [hep-th/0411077] [SPIRES]. · doi:10.1088/1126-6708/2004/11/078
[11] J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev.D 77 (2008) 065008 [arXiv:0711.0955] [SPIRES].
[12] L. Brink, J.H. Schwarz and J. Scherk, Supersymmetric Yang-Mills theories, Nucl. Phys.B 121 (1977) 77 [SPIRES]. · doi:10.1016/0550-3213(77)90328-5
[13] S. Deser, R. Jackiw and S. Templeton, Topologically massive gauge theories, Ann. Phys.140 (1982) 372 [SPIRES]. · doi:10.1016/0003-4916(82)90164-6
[14] S.J. Gates, M.T. Grisaru, M. Roček and W. Siegel, Superspace, or one thousand and one lessons in supersymmetry, Front. Phys.58 (1983) 1 [hep-th/0108200] [SPIRES]. · Zbl 0986.58001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.