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Superconformal index of large N and long quivers
Mohammad Akhond, Leonardo Santilli
We develop a universal framework for computing generating functions in quiver gauge theories in the large limit. We apply this method to the superconformal index of 4d $\mathca…
Twisted traces and quantization of moduli stacks of 3d Chern-Simons-matter theories
Leonardo Santilli
We conjecture, and show in a plethora of examples, that the sphere partition function of 3d Chern-Simons-matter theories equals a sum of twisted traces on tensor pr…
Non-commutative resolutions and pre-quotients of Calabi-Yau double covers
Tsung-Ju Lee, Bong H. Lian, Mauricio Romo +1
Following an earlier proposal arXiv:2307.02038 to apply the GLSM formalism to understand the so-called non-commutative resolution, this paper takes one important step further to ex…
Large limits of supersymmetric quantum field theories: A pedagogical overview
Leonardo Santilli
The different large limits of supersymmetric quantum field theories in three, four, and five dimensions are reviewed. We distinguish between the planar limit of SQCD theories,…
(-1)-form symmetries from M-theory and SymTFTs
Marwan Najjar, Leonardo Santilli, Yi-Nan Wang
We explore -form symmetries within the framework of geometric engineering in M-theory. By constructing the Symmetry Topological Field Theory (SymTFT) for selected 5d $\mathca…
Higher form symmetries and orbifolds of two-dimensional Yang-Mills theory
Leonardo Santilli, Richard J. Szabo
We undertake a detailed study of the gaugings of two-dimensional Yang-Mills theory by its intrinsic charge conjugation 0-form and centre 1-form global symmetries, elucidating their…