Charges and holography in 6d (1,0) theories
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Received: February 27, 2020 Accepted: May 9, 2020 Published: May 27, 2020
Oren Bergman,a Marco Fazzi,a,d,e Diego Rodr´ıguez-G´ omezb,c and Alessandro Tomasiellod,e a
Department of Physics, Technion, Israel Institute of Technology, 32000 Haifa, Israel b Department of Physics, Universidad de Oviedo, Calle Federico Garc´ıa Lorca 18, E-33007 Oviedo, Spain c Instituto Universitario de Ciencias y Tecnolog´ıas Espaciales de Asturias (ICTEA), Calle de la Independencia 13, E-33004 Oviedo, Spain d Dipartimento di Fisica, Universit` a di Milano-Bicocca, Piazza della Scienza 3, I-20126 Milano, Italy e INFN — Sezione di Milano-Bicocca, Piazza della Scienza 3, I-20126 Milano, Italy
E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: We study the recently proposed AdS7 /CFT6 dualities for a class of 6d N = (1, 0) theories that flow on the tensor branch to long linear quiver gauge theories. We find a precise agreement in the symmetries and in the spectrum of charged states between the 6d SCFTs and their conjectured AdS7 duals. We also confirm a recent conjecture that a discrete SN symmetry relating the baryons in the quiver theories is in fact gauged. Keywords: AdS-CFT Correspondence, Field Theories in Higher Dimensions, D-branes, Anomalies in Field and String Theories ArXiv ePrint: 2002.04036
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP05(2020)138
JHEP05(2020)138
Charges and holography in 6d (1,0) theories
Contents 1
2 Field theory 2.1 Linear quivers 2.2 Global symmetry 2.2.1 SU(2) node 2.3 Charged operators 2.4 A discrete (gauge) symmetry
2 2 4 4 6 7
3 Supergravity 3.1 Solutions 3.2 Symmetries 3.3 Charged states 3.3.1 Open strings 3.3.2 D0-brane (and strings) 3.3.3 Matching the U(1) charges 3.3.4 Holographic chiral-ring relation
8 8 11 13 13 13 15 17
4 Plateau-less cases
18
5 Examples 5.1 A uniform quiver: M5-branes on C2 /Zk 5.2 A uniformly rising quiver 5.3 A simple symmetric quiver
20 20 22 24
A Particles in global AdS7 A.1 Killing spinors in global coordinates A.2 Probe D0-branes A.3 Probe F1-strings
28 28 29 30
B Abelian charges of operators and dual string states B.1 Field theory B.2 Supergravity B.3 Solving the constraints B.3.1 The simplest case of s = 2 B.3.2 The case of s = 3
31 31 32 32 34 34
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JHEP05(2020)138
1 Introduction and summary
1
Introduction and summary
1
Further tests of different aspects were performed in [8–12].
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JHEP05(2020)138
The study of quantum field theory becomes harder as one increases the dimension of spacetime: familiar interacting models become non-renormalizable and require new UV completions. However when such completions can be found, they provide interesting windows on non-perturbative physics, whose lessons can be useful in lower dimensions too. For supersymmetric models, the renormalization group (RG) fixed points at high energies should be superconformal field theories (SCFTs), which can only exist up to d = 6. Over th
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