English Translation of Yamazaki's 2015 Book on 3d-3d Correspondence Hits arXiv
This arXiv posting is an English translation of a 2015 Japanese textbook by Masahito Yamazaki introducing the 3d-3d correspondence—the link between 3d N=2 supersymmetric gauge theories and the geometry of 3-manifolds arising from compactifying the 6d N=(2,0) theory. Rather than starting from the 6d theory, the book builds up geometric structure from first principles about what a QFT is, covering renormalization, gauge theory dualities, Sp(2n,Z) actions, squashed sphere partition functions, quantum Teichmüller theory, and complex Chern-Simons theory, with quantum dilogarithms as a unifying thread; it includes appendices and exercises for self-study. Twitter reaction was simple excitement that this long-standing Japanese-language reference (from Saiensu-sha's SGC library series) is now accessible in English to a global audience, with the author and a physicist colleague both flagging its arrival on arXiv.
Discussion: 2 tweets from 2 authors · @196884, @phys_yoshiki