@inbook{6103ecb89e464d0dbb61e525f3bc85f3,

title = "A Higher Stacky Perspective on Chern–Simons Theory",

abstract = "The first part of this text is a gentle exposition of some basic constructions and results in the extended prequantum theory of Chern–Simons-type gauge field theories. We explain in some detail how the action functional of ordinary 3d Chern–Simons theory is naturally localized (“extended”, “multi-tiered”) to a map on the universal moduli stack of principal connections, a map that itself modulates a circle-principal 3-connection on that moduli stack, and how the iterated transgressions of this extended Lagrangian unify the action functional with its prequantum bundle and with the WZW-functional. In the second part we provide a brief review and outlook of the higher prequantum field theory of which this is a first example. This includes a higher geometric description of supersymmetric Chern–Simons theory, Wilson loops and other defects, generalized geometry, higher Spin-structures, anomaly cancellation, and various other aspects of quantum field theory.",

keywords = "Chern-Simons Theory, Differential Purification, Homotopy Pullback, Moduli Stack, Prequantum Bundle",

author = "Domenico Fiorenza and Hisham Sati and Urs Schreiber",

note = "Publisher Copyright: {\textcopyright} 2015, Springer International Publishing Switzerland.",

year = "2015",

doi = "10.1007/978-3-319-09949-1_6",

language = "English (US)",

series = "Mathematical Physics Studies",

publisher = "Springer",

pages = "153--211",

booktitle = "Mathematical Physics Studies",

}