Janus on the brane
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Springer
Received: June 2, 2020 Accepted: July 7, 2020 Published: July 31, 2020
Michael Gutperlea and Christoph F. Uhlemannb a
Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California, Los Angeles, CA 90095, U.S.A. b Leinweber Center for Theoretical Physics, Department of Physics, University of Michigan, 450 Church Street, Ann Arbor, MI 48109-1020, U.S.A.
E-mail: [email protected], [email protected] Abstract: We present a non-supersymmetric deformation of probe branes describing conformal defects of codimension two in AdS/CFT. The worldvolume of the probe branes is deformed from AdSp ×S 1 embedded in an AdSp+2 ×MD−p−2 background to an embedding of Janus form, which uses an AdSp−1 slicing of AdSp and in which the brane bends along the slicing coordinate. In field theory terms this realizes conformal interfaces on codimensiontwo defects. We discuss these “Janus on the brane” solutions for AdS3 × S 1 D3-branes in the AdS5 × S 5 solution of Type IIB, realizing interfaces on surface defects in N = 4 SYM, and show that similar solutions exist for probe branes in AdSp+2 × S 9−p vacua of M-theory and in the AdS6 × S 4 solution of massive Type IIA. Keywords: AdS-CFT Correspondence, Gauge-gravity correspondence ArXiv ePrint: 2003.12080
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP07(2020)243
JHEP07(2020)243
Janus on the brane
Contents 1
2 Surface operators in N = 4 SYM 2.1 Janus on the D3-brane 2.2 Defect expectation value 2.3 Janus interface in field theory 2.4 More general Janus on the D3-brane
2 3 6 7 8
3 Janus on other branes 3.1 M2-brane in AdS4 × S 7 3.2 M5-brane in AdS7 × S 4 3.3 D4-brane in AdS6 × S 4 /Z2 3.4 Janus on the brane for M2, D4, M5
10 10 11 12 13
4 Discussion
14
A D3-brane supersymmetry A.1 Janus on the brane embedding A.1.1 κ-symmetry A.2 Supersymmetric embeddings
15 16 16 17
1
Introduction
The study of defects and interfaces in field theories is of considerable interest. One of the first examples in holography was the Janus solution [1] which is a deformation of the AdS5 × S 5 solution of Type IIB supergravity describing a planar interface in N = 4 SYM across which the coupling constant jumps. Subsequently, Janus solutions have been generalized in many ways, see e.g. [2–12]. Another way to construct defects in holographic theories is by embedding probe branes in the supergravity dual and neglecting their backreaction [13]. This approximation is often justified if the number of probe branes is small compared to the number of branes which created the background spacetime. Defects of various dimensions and in various field theories are described holographically by probe branes with AdSp × S q worldvolume, where the AdSp is embedded inside the AdS part of the background and the S q can either be embedded inside the AdS part or in the internal space [14–18]. In many cases BPS defects can be realized, which preserve part of the background supersymmetries and may involve additional worldvolume flu
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