Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. Bak, M. Gutperle and S. Hirano, A dilatonic deformation of AdS 5 and its field theory dual, JHEP 05 (2003) 072 [hep-th/0304129] [SPIRES].
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].
A. Clark and A. Karch, Super Janus, JHEP 10 (2005) 094 [hep-th/0506265] [SPIRES].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS type IIB interface solutions I: local solution and supersymmetric Janus, JHEP 06 (2007) 021 [arXiv:0705.0022] [SPIRES].
E. D’Hoker, J. Estes and M. Gutperle, Interface Yang-Mills, supersymmetry and Janus, Nucl. Phys. B 753 (2006) 16 [hep-th/0603013] [SPIRES].
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].
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].
A. Kapustin and M.J. Strassler, On mirror symmetry in three dimensional abelian gauge theories, JHEP 04 (1999) 021 [hep-th/9902033] [SPIRES].
D. Gaiotto and X. Yin, Notes on superconformal Chern-Simons-matter theories, JHEP 08 (2007) 056 [arXiv:0704.3740] [SPIRES].
J.H. Schwarz, Superconformal Chern-Simons theories, JHEP 11 (2004) 078 [hep-th/0411077] [SPIRES].
J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77 (2008) 065008 [arXiv:0711.0955] [SPIRES].
L. Brink, J.H. Schwarz and J. Scherk, Supersymmetric Yang-Mills theories, Nucl. Phys. B 121 (1977) 77 [SPIRES].
S. Deser, R. Jackiw and S. Templeton, Topologically massive gauge theories, Ann. Phys. 140 (1982) 372 [SPIRES].
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].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 0804.2907
Rights and permissions
About this article
Cite this article
Gaiotto, D., Witten, E. Janus configurations, Chern-Simons couplings, and The θ-Angle in \( \mathcal{N} = 4 \) super Yang-Mills theory. J. High Energ. Phys. 2010, 97 (2010). https://doi.org/10.1007/JHEP06(2010)097
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2010)097