2012/05/31 by Pietro Longhi · 13 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Artificial intelligence #Black Holes and Theoretical Physics #Broad spectrum #Calculus (dental) #Class (philosophy) #Coding theory and cryptography #Combinatorics #Computer science #Generator (circuit theory) #Geometry #Line (geometry) #Mathematics #Physics #Power (physics) #Pure mathematics #Quantum mechanics #Spectral line #Spectrum (functional analysis) #Topology (electrical circuits) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep11(2012)107
published in Journal of High Energy Physics 2012(11) (Springer Nature) · 38 pages; v2: references added; v3: references added, added introductory material in sections 1, 2.1, 2.2, 2.3
arxiv created 2012/10/28 · openalex publication_date 2012/11/01 · arxiv updated 2012/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We apply the techniques provided by the recent works Gaiotto, Moore and Neitzke, to derive the most general spectrum generating functions for coupled 2d-4d A1 theories of class \cal S, in presence of surface and line defects. As an application of the result, some well-known BPS spectra are reproduced. Our results apply to a large class of coupled 2d-4d systems, the corresponding spectrum generating functions can be easily derived from our general expressions.