Shortening anomalies in supersymmetric theories

A bstract We present new anomalies in two-dimensional N = 2 2 superconformal theories. They obstruct the shortening conditions of chiral and twisted chiral multiplets at coincident points. This implies that marginal couplings cannot be promoted to background superfields in short representations. The...

Full description

Saved in:
Bibliographic Details
Published in:The journal of high energy physics 2017-01, Vol.2017 (1), p.1-27, Article 67
Main Authors: Gomis, Jaume, Komargodski, Zohar, Ooguri, Hirosi, Seiberg, Nathan, Wang, Yifan
Format: Article
Language:English
Subjects:
Anomalies
Anomalies in Field and String Theories
Classical and Quantum Gravitation
Conformal Field Theory
Couplings
Elementary Particles
High energy physics
Manifolds
Mathematical analysis
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Representations
String Theory
Supersymmetric gauge theory
Supersymmetry
Texts
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A bstract We present new anomalies in two-dimensional N = 2 2 superconformal theories. They obstruct the shortening conditions of chiral and twisted chiral multiplets at coincident points. This implies that marginal couplings cannot be promoted to background superfields in short representations. Therefore, standard results that follow from N = 2 2 spurion analysis are invalidated. These anomalies appear only if supersymmetry is enhanced beyond N = 2 2 . These anomalies explain why the conformal manifolds of the K3 and T 4 sigma models are not Kähler and do not factorize into chiral and twisted chiral moduli spaces and why there are no N = 2 2 gauged linear sigma models that cover these conformal manifolds. We also present these results from the point of view of the Riemann curvature of conformal manifolds.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2017)067