Carving out the end of the world or (superconformal bootstrap in six dimensions)

2017/05/31 by Chi‐Ming Chang, Chi-Ming Chang, Ying-Hsuan Lin
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Carving #Central charge #Charge (physics) #Combinatorics #Conjecture #Field (mathematics) #Function (biology) #Geometry #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Rank (graph theory) #String (physics) #String theory #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep08(2017)128

59 pages, 10 figures, 4 tables; v2-v5: typos corrected, references added

openalex created_date 2017/05/26 · openalex publication_date 2017/08/01 · arxiv created 2018/01/02 · arxiv updated 2018/01/03 · openalex updated_date 2026/08/05

Abstract

We bootstrap N=(1,0) superconformal field theories in six dimensions, by analyzing the four-point function of flavor current multiplets. Assuming E 8 flavor group, we present universal bounds on the central charge C T and the flavor central charge C J . Based on the numerical data, we conjecture that the rank-one E-string theory saturates the universal lower bound on C J , and numerically determine the spectrum of long multiplets in the rank-one E-string theory. We comment on the possibility of solving the higher-rank E-string theories by bootstrap and thereby probing M-theory on AdS₇× S⁴/ℤ₂ .

Citations

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