We review the theoretical developments and conceptual advances that stemmed from the
generalization of QCD to the limit of a large number of color charges, originally proposed by't …

USING STANDARD SYSTE Page 1 Brane dynamics and gauge theory Amit Giveon Racah
Institute of Physics, The Hebrew University, Jerusalem 91904, Israel David Kutasov EFI and …

A bstract We derive the Symmetry Topological Field Theories (SymTFTs) for 3d
supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric …

Building on earlier work in the high energy and condensed matter communities, we present
a web of dualities in 2+ 1 dimensions that generalize the known particle/vortex duality. Some …

We show how particle-vortex duality in d= 2+ 1 dimensions arises as part of an intricate web
of relationships between different field theories. The starting point is “bosonization,” a …

NATURE abounds with phase transitions. The boiling and freezing of water are everyday
examples of phase transitions, as are more exotic processes such as superconductivity and …

A bstract We provide a general formula for the partition function of three-
dimensional\(\mathcal {N}= 2\) gauge theories placed on S 2× S 1 with a topological twist …

A bstract We discuss in detail level/rank duality in three-dimensional Chern-Simons theories
and various related dualities in three-dimensional Chern-Simons-matter theories. We couple …

A bstract The three sphere partition function, Z, of three dimensional theories with four
supercharges and an R-symmetry is computed using localization, resulting in a matrix …

This thorough and detailed exposition is the result of an intensive month-long course on
mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry …