Gauge-gravity correspondence;
Conformal and W Symmetry;
Extended Supersymmetry;
ASYMPTOTIC SYMMETRIES;
FIELDS;
D O I:
10.1007/JHEP04(2013)018
中图分类号:
O412 [相对论、场论];
O572.2 [粒子物理学];
学科分类号:
摘要:
The CPN Kazama-Suzuki models with the non-linear chiral algebra SW infinity [lambda] have been conjectured to be dual to the fully supersymmetric Prokushkin-Vasiliev theory of higher-spin gauge fields coupled to two massive N = 2 multiplets on AdS(3). We perform a non-trivial check of this duality by computing three-point functions containing one higher-spin gauge field for arbitrary spin s and deformation parameter A from the bulk theory, and from the boundary using a free ghost system based on the linear sw(infinity)[lambda] algebra. We find an exact match between the two computations. In the 't Hooft limit, the three-point functions only depend on the wedge subalgebra shs[lambda] and the results are equivalent for any theory with such a subalgebra. In the process we also find the emergence of N = 2 superconformal symmetry near the AdS(3) boundary by computing holographic OPE's, consistently with a. recent analysis of asymptotic symmetries of higher-spin supergravity.
机构:
Univ Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, Austria
Erwin Schrodinger Int Inst Math & Phys, Boltzmanngasse 9, A-1090 Vienna, AustriaUniv Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, Austria
Fredenhagen, Stefan
Krueger, Olaf
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机构:
Univ Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, AustriaUniv Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, Austria
Krueger, Olaf
Mkrtchyan, Karapet
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机构:
Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy
INFN, Piazza Cavalieri 7, I-56126 Pisa, ItalyUniv Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, Austria