2013/05/25 by Changhyun Ahn · 22 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Coset #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Spin (aerodynamics) #Theoretical physics #Thermodynamics #hep-th
paper · pdf · doi:10.1007/jhep07(2013)141
published in Journal of High Energy Physics 2013(7) (Springer Nature) · 56 pages
arxiv created 2013/05/25 · openalex publication_date 2013/07/01 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the N=1 supersymmetric coset model based on (AN-1(1) ⊕ AN-1(1), AN-1(1)) at level (k, N), the lowest N=1 higher spin supercurrent with spins-(5/2, 3), in terms of two independent numerator WZW currents, is reviewed. By calculating the operator product expansions (OPE) between this N=1 higher spin supercurrent and itself, the next two N=1 higher spin supercurrents can be generated with spins-(7/2, 4) and (4, 9/2). These four currents are polynomials of degree 3, 4, 4, 4 in the first numerator WZW currents with level k. The complete nonlinear OPE of the lowest N=1 higher spin supercurrent for general N is obtained. The three-point functions involving two scalar primaries with one spin-2 current or spin-3 current are calculated in the large N limit for all values of the 't Hooft coupling. In particular, the light states that appeared in the case when the second level was fixed by 1 are no longer light ones because the eigenvalues are finite in the large N limit.