Searching for surface defect CFTs within AdS 3
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Springer
Received: August 12, 2020 Accepted: October 5, 2020 Published: November 11, 2020
Federico Faedo,a Yolanda Lozanob and Nicolò Petrib a
Dipartimento di Fisica, Università di Milano, and INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy b Department of Physics, University of Oviedo, Avda. Federico Garcia Lorca s/n, 33007 Oviedo, Spain
E-mail: [email protected], [email protected], [email protected] Abstract: We study AdS3 × S 3 /Zk × S˜3 /Zk0 solutions to M-theory preserving N = (0, 4) supersymmetries, arising as near-horizon limits of M2-M5 brane intersections ending on M5’-branes, with both types of five-branes placed on A-type singularities. Solutions in this class asymptote locally to AdS7 /Zk × S˜3 /Zk0 , and can thus be interpreted as holographic duals to surface defect CFTs within the N = (1, 0) 6d CFT dual to this solution. Upon reduction to Type IIA, we obtain a new class of solutions of the form AdS3 ×S 3 /Zk ×S 2 ×Σ2 preserving (0,4) supersymmetries. We construct explicit 2d quiver CFTs dual to these solutions, describing D2-D4 surface defects embedded within the 6d (1,0) quiver CFT dual to the AdS7 /Zk solution to massless IIA. Finally, in the massive case, we show that the recently constructed AdS3 × S 2 × CY2 solutions with N = (0, 4) supersymmetries gain a defect interpretation as surface CFTs originating from D2-NS5-D6 defects embedded within the 5d CFT dual to the Brandhuber-Oz AdS6 background. Keywords: AdS-CFT Correspondence, Brane Dynamics in Gauge Theories ArXiv ePrint: 2007.16167
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP11(2020)052
JHEP11(2020)052
Searching for surface defect CFTs within AdS3
Contents 1 Introduction
1
2 Surface defects in M-theory 2.1 The brane set-up 2.2 Surface defects as 7d charged domain walls
4 4 7 9 10 12 13 14 15
4 Surface defects in massive IIA 4.1 The brane set-up 4.2 Surface defects as 6d curved domain walls
18 19 21
5 Line defects in massive IIA
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6 Conclusions
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A M-theory origin of 7d N = 1 supergravity
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B An extended class of AdS3 × S 3 /Zk × S 2 solutions to Type IIA
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C Brief summary of 2d quiver CFTs
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D Massive IIA origin of 6d Romans supergravity
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1
Introduction
The crucial ingredient of the AdS/CFT regime of string theory is that it provides a concrete set-up where it is possible to handle (some) non-perturbative effects featuring the gravitational interaction at its quantum phase [1, 2]. In particular, the possibility of working out quantitative results of the physics of branes allowed (and still allows) to spread new light on the most interesting and mysterious features of quantum gravity, like, for example, the existence of non-Lagrangian phases for quantum fields. Despite the huge amount of new ideas, proposals and results that revolve around holography, issues such as the holographic interpretation of lower-dimensional AdS backgrounds are still in need of a deeper understanding.
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JHEP11(2020)052
3 Surface defects in massless IIA 3.1 New AdS
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