Bounds on 4D Conformal and Superconformal Field Theories

Details Bounds on 4D Conformal and Superconformal Field Theories Bounds on 4D Conformal and Superconformal Field Theories

2010-09-10

arxiv.org/abs/1009.2087v2

JHEP 1105:017,2011

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, 9 figures; V2: small corrections and clarifications

Scientific paper

10.1007/JHEP05(2011)017

We derive general bounds on operator dimensions, central charges, and OPE coefficients in 4D conformal and N=1 superconformal field theories. In any CFT containing a scalar primary phi of dimension d we show that crossing symmetry of implies a completely general lower bound on the central charge c >= f_c(d). Similarly, in CFTs containing a complex scalar charged under global symmetries, we bound a combination of symmetry current two-point function coefficients tau^{IJ} and flavor charges. We extend these bounds to N=1 superconformal theories by deriving the superconformal block expansions for four-point functions of a chiral superfield Phi and its conjugate. In this case we derive bounds on the OPE coefficients of scalar operators appearing in the Phi x Phi* OPE, and show that there is an upper bound on the dimension of Phi* Phi when dim(Phi) is close to 1. We also present even more stringent bounds on c and tau^{IJ}. In supersymmetric gauge theories believed to flow to superconformal fixed points one can use anomaly matching to explicitly check whether these bounds are satisfied.

Affiliated with

Also associated with

No associations

Rating

Bounds on 4D Conformal and Superconformal Field Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bounds on 4D Conformal and Superconformal Field Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounds on 4D Conformal and Superconformal Field Theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-562137