Abstract
Compactifications of 6d \( \mathcal{N} \) = (1, 0) SCFTs give rise to new 4d \( \mathcal{N} \) = 1 SCFTs and shed light on interesting dualities between such theories. In this paper we continue exploring this line of research by extending the class of compactified 6d theories to the D- type case. The simplest such 6d theory arises from D5 branes probing D-type singularities. Equivalently, this theory can be obtained from an F-theory compactification using −2- curves intersecting according to a D-type quiver. Our approach is two-fold. We start by compactifying the 6d SCFT on a Riemann surface and compute the central charges of the resulting 4d theory by integrating the 6d anomaly polynomial over the Riemann surface. As a second step, in order to find candidate 4d UV Lagrangians, there is an intermediate 5d theory that serves to construct 4d domain walls. These can be used as building blocks to obtain torus compactifications. In contrast to the A-type case, the vanishing of anomalies in the 4d theory turns out to be very restrictive and constraints the choices of gauge nodes and matter content severely. As a consequence, in this paper one has to resort to non- maximal boundary conditions for the 4d domain walls. However, the comparison to the 6d theory compactified on the Riemann surface becomes less tractable.
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References
D. Gaiotto and S.S. Razamat, N = 1 theories of class Sk, JHEP07 (2015) 073 [arXiv:1503.05159] [INSPIRE].
S.S. Razamat, C. Vafa and G. Zafrir, 4d N = 1 from 6d (1, 0), JHEP04 (2017) 064 [arXiv:1610.09178] [INSPIRE].
I. Bah, A. Hanany, K. Maruyoshi, S.S. Razamat, Y. Tachikawa and G. Zafrir, 4d N = 1 from 6d N = (1, 0) on a torus with fluxes, JHEP06 (2017) 022 [arXiv:1702.04740] [INSPIRE].
H.-C. Kim, S.S. Razamat, C. Vafa and G. Zafrir, E-string theory on Riemann surfaces, Fortsch. Phys.66 (2018) 1700074 [arXiv:1709.02496] [INSPIRE].
H.-C. Kim, S.S. Razamat, C. Vafa and G. Zafrir, D-type conformal matter and SU/USp quivers, JHEP06 (2018) 058 [arXiv:1802.00620] [INSPIRE].
H.-C. Kim, S.S. Razamat, C. Vafa and G. Zafrir, Compactifications of ADE conformal matter on a torus, JHEP09 (2018) 110 [arXiv:1806.07620] [INSPIRE].
S.S. Razamat and G. Zafrir, Compactification of 6d minimal SCFTs on Riemann surfaces, Phys. Rev.D 98 (2018) 066006 [arXiv:1806.09196] [INSPIRE].
J.J. Heckman, D.R. Morrison and C. Vafa, On the classification of 6D SCFTs and generalized ADE orbifolds, JHEP05 (2014) 028 [Erratum ibid.06 (2015) 017] [arXiv:1312.5746] [INSPIRE].
M. Del Zotto, J.J. Heckman, A. Tomasiello and C. Vafa, 6d conformal matter, JHEP02 (2015) 054 [arXiv:1407.6359] [INSPIRE].
H. Hayashi, S.-S. Kim, K. Lee, M. Taki and F. Yagi, More on 5d descriptions of 6d SCFTs, JHEP10 (2016) 126 [arXiv:1512.08239] [INSPIRE].
M.R. Douglas and G.W. Moore, D-branes, quivers and ALE instantons, hep-th/9603167 [INSPIRE].
C.V. Johnson and R.C. Myers, Aspects of type IIB theory on ALE spaces, Phys. Rev.D 55 (1997) 6382 [hep-th/9610140] [INSPIRE].
A. Hanany and A. Zaffaroni, Issues on orientifolds: on the brane construction of gauge theories with SO(2N) global symmetry, JHEP07 (1999) 009 [hep-th/9903242] [INSPIRE].
K. Ohmori, H. Shimizu, Y. Tachikawa and K. Yonekura, Anomaly polynomial of general 6d SCFTs, PTEP2014 (2014) 103B07 [arXiv:1408.5572] [INSPIRE].
K. Intriligator, 6d, N = (1, 0) Coulomb branch anomaly matching, JHEP10 (2014) 162 [arXiv:1408.6745] [INSPIRE].
J. Fuchs and C. Schweigert, Symmetries, Lie algebras and representations: a graduate course for physicists, Cambridge University Press, Cambridge, U.K. (2003) [INSPIRE].
V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett.B 388 (1996) 45 [hep-th/9606008] [INSPIRE].
V. Kumar, D.R. Morrison and W. Taylor, Global aspects of the space of 6D N = 1 supergravities, JHEP11 (2010) 118 [arXiv:1008.1062] [INSPIRE].
S. Monnier, The global anomaly of the self-dual field in general backgrounds, Annales Henri Poincaŕe17 (2016) 1003 [arXiv:1309.6642] [INSPIRE].
K.A. Intriligator and B. Wecht, The exact superconformal R symmetry maximizes a, Nucl. Phys.B 667 (2003) 183 [hep-th/0304128] [INSPIRE].
D. Gaiotto and H.-C. Kim, Duality walls and defects in 5d N = 1 theories, JHEP01 (2017) 019 [arXiv:1506.03871] [INSPIRE].
C.S. Chan, O.J. Ganor and M. Krogh, Chiral compactifications of 6D conformal theories, Nucl. Phys.B 597 (2001) 228 [hep-th/0002097] [INSPIRE].
A. Hanany and A. Zaffaroni, The master space of supersymmetric gauge theories, Adv. High Energy Phys.2010 (2010) 427891 [INSPIRE].
D. Kutasov, A. Parnachev and D.A. Sahakyan, Central charges and U(1)Rsymmetries in N = 1 super Yang-Mills, JHEP11 (2003) 013 [hep-th/0308071] [INSPIRE].
S. Benvenuti and S. Giacomelli, Supersymmetric gauge theories with decoupled operators and chiral ring stability, Phys. Rev. Lett.119 (2017) 251601 [arXiv:1706.02225] [INSPIRE].
N. Yamatsu, Finite-dimensional Lie algebras and their representations for unified model building, arXiv:1511.08771 [INSPIRE].
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Chen, J., Haghighat, B., Liu, S. et al. 4d \( \mathcal{N} \) = 1 from 6d D-type \( \mathcal{N} \) = (1, 0). J. High Energ. Phys. 2020, 152 (2020). https://doi.org/10.1007/JHEP01(2020)152
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DOI: https://doi.org/10.1007/JHEP01(2020)152