2019/09/30 by Fabio Apruzzi, Craig Lawrie, Ling Lin +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Computation #Embedding #Gauge (firearms) #Gauge theory #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #Quiver #Realization (probability) #Seiberg duality #Supersymmetric gauge theory #hep-th
paper · pdf · doi:10.1007/jhep03(2020)052
146 pages, lots of figures, v2: typos corrected, v3: JHEP published version, v4: typo in def 3.1 fixed
openalex created_date 2019/09/26 · openalex publication_date 2020/03/10 · arxiv created 2021/02/15 · arxiv updated 2021/02/17 · openalex updated_date 2026/08/06
A bstract In [1, 2] we proposed an approach based on graphs to characterize 5d superconformal field theories (SCFTs), which arise as compactifications of 6d N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (1 , 0) SCFTs. The graphs, so-called combined fiber diagrams (CFDs), are derived using the realization of 5d SCFTs via M-theory on a non-compact Calabi-Yau threefold with a canonical singularity. In this paper we complement this geometric approach by connecting the CFD of an SCFT to its weakly coupled gauge theory or quiver descriptions and demonstrate that the CFD as recovered from the gauge theory approach is consistent with that as determined by geometry. To each quiver description we also associate a graph, and the embedding of this graph into the CFD that is associated to an SCFT provides a systematic way to enumerate all possible consistent weakly coupled gauge theory descriptions of this SCFT. Furthermore, different embeddings of gauge theory graphs into a fixed CFD can give rise to new UV-dualities for which we provide evidence through an analysis of the prepotential, and which, for some examples, we substantiate by constructing the M-theory geometry in which the dual quiver descriptions are manifest.