Comments on Chern-Simons contact terms in three dimensions

By Cyril Closset, T. Dumitrescu, G. Festuccia, Z. Komargodski, N. Seiberg. 2012

256 citations recorded by the source corpus.

A bstractWe study contact terms of conserved currents and the energy-momentum tensor in three-dimensional quantum field theory. They are associated with Chern-Simons terms for background fields. While the integer parts of these contact terms are ambiguous, their fractional parts are meaningful physical observables. In $ \mathcal{N} = {2} $ supersymmetric theories with a U(1)R symmetry some of these observables lead to an anomaly. Moreover, they can be computed exactly using localization, leading to new tests of dualities.

Subfields: Condensed Matter Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/80fbda7632b06ab90bf02eff8f762e50a8beb68c

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Citations in the corpus

Comments on twisted indices in 3d supersymmetric gauge theories (2016, background): “42) are mixed CS terms between abelian vector multiplets and the R-symmetry gauge field in the new-minimal supergravity multiplet [42, 44], which is given by”
Particle-Vortex Duality from 3D Bosonization (2016, background): “Such a term results in contact interactions between currents [50].”
Theta, time reversal and temperature (2017, background): “This point of view is analogous to the Hall conductivity in three dimensions, which is an intrinsic infrared observable that is defined modulo an integer, see [26].”
The geometry of supersymmetric partition functions (2013, methodology): “The operators in the three-dimensional R-multiplet reside in the following superfields (see for instance [3, 4, 7]),”
A Duality Web in 2+1 Dimensions and Condensed Matter Physics (2016, unknown): “First, we will couple the global symmetries to background gauge fields and will constrain their Chern-Simons contact terms [34].”
Contact terms, unitarity, and F -maximization in three-dimensional superconformal theories (2012, methodology): “As described in [29], there are different ways to calculate this observable in flat space.”
Sphere partition functions and the Zamolodchikov metric (2014, unknown): “See, for example, the discussions in [8,9,10].”
The Casimir energy in curved space and its supersymmetric counterpart (2015, methodology): “We can think about that as if we are starting from some theory in the UV with Chern-Simons coefficient kuv and then we integrate out the massive fermion leading to a Chern-Simons coefficient in the infrared kir (this interpretation was elaborated upon in [40]) 9 kir − kuv = − q 2 sgn(M) .”
A universal counting of black hole microstates in AdS4 (2017, unknown): “These are given by Chern-Simons terms with purely imaginary coefficients for the background gauge fields that couple to conserved currents, see [29, 35] for a detailed discussion.”
Correlators of large N fermionic Chern-Simons vector models (2012, background): “It was argued in [11] that the fractional part of this term (in units of κ) is a physical observable.”
Exploring 2-group global symmetries (2018, background): “This counterterm, and the associated GS contact term (see below), can be viewed as four-dimensional analogues of the three-dimensional Chern-Simons counterterms and contact terms analyzed in [2, 3].”
Cardy formulae for SUSY theories in d = 4 and d = 6 (2014, background): “) An argument of similar nature has already appeared in a different context in [27].”
A topologically twisted index for three-dimensional supersymmetric theories (2015, unknown): “19) of [29].”
Supersymmetric field theories on three-manifolds (2012, background): “) At the linearized level, new minimal supergravity in three dimensions was recently studied in [40,33,34].”
Comments on global symmetries, anomalies, and duality in (2 + 1)d (2017, methodology): “, we will denote the coefficients of their Chern-Simons counterterms [55,56] by K.”
Chern-Simons-matter dualities with SO and USp gauge groups (2016, background): “Our goal here is to identify the CS counterterms [39] for these fields that are needed for the duality.”