2012/05/31 by Neil B. Copland, Sung Moon Ko, Jeong-Hyuck Park · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal map #Conformal symmetry #Connection (principal bundle) #Dimension (graph theory) #Dimensional reduction #Noncommutative and Quantum Gravity Theories #Spacetime #Supersymmetric quantum mechanics #Supersymmetry #Symmetry (geometry) #Symmetry group #hep-th
paper · pdf · doi:10.1007/jhep07(2012)076
published as JHEP 07 (2012) 076 · 1+28 pages, no figure; Refs added. To appear in JHEP
openalex publication_date 2012/07/01 · arxiv created 2012/07/06 · arxiv updated 2012/07/19 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
In spacetime dimension two, pure Yang-Mills possesses no physical degrees of freedom, and consequently it admits a supersymmetric extension to couple to an arbitrary number, N say, of Majorana-Weyl gauginos. This results in (N,0) super Yang-Mills. Further, its dimensional reduction to mechanics doubles the number of supersymmetries, from N to N+N, to include conformal supercharges, and leads to a superconformal Yang-Mills quantum mechanics with symmetry group OSp(N|2,R). We comment on its connection to AdS2 × SN-1 and reduction to a supersymmetric Calogero model.