Abstract
We consider RG flows obtained by a relevant deformation from unitary and compact two-dimensional (0,2) SCFTs. We point out that an N=2 super-Kac-Moody algebra present in the UV is preserved by the flow and does not mix with the R-current. On the other hand, a direct sum of N=2 algebras in the UV theory leads to a few complications in determining the IR R-symmetry; nevertheless, in flows without accidental IR symmetries, we determine the IR R-symmetry and show that it maximizes the IR central charge.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
F. Benini and N. Bobev, Exact two-dimensional superconformal R-symmetry and c-extremization, Phys. Rev. Lett. 110 (2013) 061601 [arXiv:1211.4030] [INSPIRE].
A. Sevrin, W. Troost, A. Van Proeyen and P. Spindel, Extended supersymmetric σ-models on group manifolds. 2. Current algebras, Nucl. Phys. B 311 (1988) 465 [INSPIRE].
Y. Kazama and H. Suzuki, Characterization of N = 2 Superconformal Models Generated by Coset Space Method, Phys. Lett. B 216 (1989) 112 [INSPIRE].
T.T. Dumitrescu and N. Seiberg, Supercurrents and Brane Currents in Diverse Dimensions, JHEP 07 (2011) 095 [arXiv:1106.0031] [INSPIRE].
P. West, Introduction to supersymmetry and supergravity, World Scientific, Singapore (1990).
J.-F. Fortin, K. Intriligator and A. Stergiou, Current OPEs in Superconformal Theories, JHEP 09 (2011) 071 [arXiv:1107.1721] [INSPIRE].
P. Ramond and J.H. Schwarz, Classification of Dual Model Gauge Algebras, Phys. Lett. B 64 (1976) 75 [INSPIRE].
A. Sevrin, W. Troost and A. Van Proeyen, Superconformal Algebras in Two-Dimensions with N = 4, Phys. Lett. B 208 (1988) 447[INSPIRE].
P. Spindel, A. Sevrin, W. Troost and A. Van Proeyen, Extended Supersymmetric σ-models on Group Manifolds. 1. The Complex Structures, Nucl. Phys. B 308 (1988) 662 [INSPIRE].
J. Polchinski, String Theory, vol. 2, Cambridge University Press, Cambridge, U.K. (1998).
S.L. Shatashvili and C. Vafa, Superstrings and manifold of exceptional holonomy, Selecta Math. 1 (1995) 347 [hep-th/9407025] [INSPIRE].
J.M. Figueroa-O’Farrill, A note on the extended superconformal algebras associated with manifolds of exceptional holonomy, Phys. Lett. B 392 (1997) 77 [hep-th/9609113] [INSPIRE].
M. Bertolini, I.V. Melnikov and M.R. Plesser, Accidents in (0, 2) Landau-Ginzburg theories, JHEP 12 (2014) 157 [arXiv:1405.4266] [INSPIRE].
J. Distler, Notes on (0, 2) superconformal field theories, hep-th/9502012 [INSPIRE].
D. Tong, Quantum Vortex Strings: A Review, Annals Phys. 324 (2009) 30 [arXiv:0809.5060] [INSPIRE].
I.V. Melnikov, (0, 2) Landau-Ginzburg Models and Residues, JHEP 09 (2009) 118 [arXiv:0902.3908] [INSPIRE].
K.A. Intriligator and B. Wecht, The exact superconformal R symmetry maximizes a, Nucl. Phys. B 667 (2003) 183 [hep-th/0304128] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1603.08935
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Melnikov, I.V. Relevant deformations and c-extremization. J. High Energ. Phys. 2016, 169 (2016). https://doi.org/10.1007/JHEP09(2016)169
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2016)169