Relative Quantum Field Theory

By D. Freed, C. Teleman. 2012

231 citations recorded by the source corpus.

We highlight the general notion of a relative quantum field theory, which occurs in several contexts. One is in gauge theory based on a compact Lie algebra, rather than a compact Lie group. This is relevant to the maximal superconformal theory in six dimensions.

Subfields: Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6dd2d97fd8b60f1f79683446f9bd62ef45a3c9b1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

In Nuclear and High Energy Physics

Citations in the corpus

Anomalies in the space of coupling constants and their dynamical applications II (2019, background): “Structurally, α is12 an invertible pd ` 1q-dimensional field theory with the same domain X, and F is a theory relative to α in the sense of [41].”
Coupling a QFT to a TQFT and duality (2014, unknown): “For more details, see [5–9]–[10].”
Reading between the lines of four-dimensional gauge theories (2013, background): “They are not standard consistent local quantum field theories by themselves, but can be viewed either as generalizations of local quantum field theories where the expectation values are elements of a vector space rather than well-defined numbers [33] (see also [38,39,40,41], and [42] and references ”
Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond (2022, background): “30 There are also more exotic d-dimensional QFTs, sometimes called relative [261] or meta or non-genuine theories, where the Ad+1 theory plays a more essential role than just a projective phase and is instead associated with a multi-dimensional Hilbert”
On the Defect Group of a 6D SCFT (2015, background): “This group also determines the obstruction to defining a partition function for the 6D theory [16]—when C is non-trivial, the 6D theory is best thought of as a relative quantum field theory [11, 14, 38–46].”