Holographic interfaces in N $$ \mathcal{N} $$ = 4 SYM: Janus and J-folds
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Springer
Received: April 11, 2020 Accepted: May 5, 2020 Published: May 27, 2020
Nikolay Bobev,a Friðrik Freyr Gautason,a,b Krzysztof Pilch,c Minwoo Suhd and Jesse van Muidena a
Instituut voor Theoretische Fysica, KU Leuven, Celestijnenlaan 200D, 3001 Leuven, Belgium b University of Iceland, Science Institute, Dunhaga 3, 107 Reykjavík, Iceland c Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089, U.S.A. d Department of Physics, Kyungpook National University, Daegu, 41566, Korea
E-mail: [email protected], [email protected], [email protected], [email protected], [email protected] Abstract: We find the holographic dual to the three classes of superconformal Janus interfaces in N = 4 SYM that preserve three-dimensional N = 4, N = 2, and N = 1 supersymmetry. The solutions are constructed in five-dimensional SO(6) maximal gauged supergravity and are then uplifted to type IIB supergravity. Corresponding to each of the three classes of Janus solutions, there are also AdS4 × S 1 × S 5 J-fold backgrounds. These J-folds have a non-trivial SL(2, Z) monodromy for the axio-dilaton on the S 1 and are dual to three-dimensional superconformal field theories. Keywords: AdS-CFT Correspondence, Supersymmetric Gauge Theory ArXiv ePrint: 2003.09154
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP05(2020)134
JHEP05(2020)134
Holographic interfaces in N = 4 SYM: Janus and J-folds
Contents 1 Introduction
1
gravity dual of the N = 4 interface The five-dimensional Janus SL(2, R)S transformation of Janus solutions The ten-dimensional Janus Comparison to the literature An N = 4 J-fold The ten-dimensional J-fold
4 4 9 10 12 13 15
3 The 3.1 3.2 3.3 3.4
gravity dual of the N = 2 interface The five-dimensional Janus The ten-dimensional Janus An N = 2 J-fold N = 2 SCFT intermezzo
16 16 20 22 23
4 The 4.1 4.2 4.3
gravity dual of the N = 1 interface The five-dimensional Janus The ten-dimensional Janus An N = 1 J-fold
25 25 28 28
5 Conclusions
29
A Derivation A.1 The N A.2 The N A.3 The N
31 32 33 35
1
of the BPS equations = 4 Janus = 2 Janus = 1 Janus
Introduction
Studying quantum field theories with broken Poincaré invariance due to the presence of defects or boundaries leads to important insights into their dynamics. The gauge/gravity duality can be applied very effectively in this context to study the physics of such systems. Indeed, co-dimension one defects and interfaces have appeared prominently in holography, see for example [1] and [2]. In particular, the duality between type IIB supergravity on AdS5 × S 5 and N = 4 SYM can be modified to account for the presence of defects, [1], or interfaces, [2]. The distinction between these two setups is important. A co-dimension one defect in N = 4 SYM supports additional three-dimensional degrees of freedom on its
–1–
JHEP05(2020)134
2 The 2.1 2.2 2.3 2.4 2.5 2.6
N
Superalgebra
R-symmetry
4
OSp(4|4, R)
SU(2) × SU(2)
2
OSp(2|4, R)
U(1)
1
OSp(1|4, R)
Commutant SU(2) SU(3)
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