# Evidence for the strongest version of the 4d a-theorem via a-maximization along RG flows

@article{Barnes2004EvidenceFT,
title={Evidence for the strongest version of the 4d a-theorem via a-maximization along RG flows},
author={Edwin Barnes and Kenneth A. Intriligator and Brian Alexander Wecht and Jason Wright},
journal={Nuclear Physics},
year={2004},
volume={702},
pages={131-162}
}
• Published 20 August 2004
• Mathematics
• Nuclear Physics
143 Citations

## Figures from this paper

• Physics
• 2004
We provide a cross-check of AdS/CFT and a-charge maximization for a four dimensional = 1 SCFT with irrational R-charges. The gauge theory is the low energy effective theory of N D3-branes at the tip
• Physics, Mathematics
• 2005
We present a new, general constraint which, in principle, determines the superconformal U(1)R symmetry of 4d N = 1 SCFTs, and also 3d N = 2 SCFTs. Among all possibilities, the superconformal U(1)R is
• Mathematics
• 2012
A bstractWe explore some curiosities in 4d susy RG flows. One issue is that the compelling candidate a-function, from a-maximization with Lagrange multipliers, has a ‘strange branch,” with reversed
Given our understanding of renormalizable quantum field theories, in which coupling constants vary under Renormalization Group (RG) flow, it is natural to ask whether there exist any underlying
• Mathematics
• 2013
A bstractThe running of quantum field theories can be studied in detail with the use of a local renormalization group equation. The usual beta-function effects are easy to include, but by introducing
• Physics
• 2012
A bstractWe study the extension of the approach to the a-theorem of Komargodski and Schwimmer to quantum field theories in d = 6 spacetime dimensions. The dilaton effective action is obtained up to
A bstractIn this paper we study the holographic dual to a-maximization in five-dimensional $\mathcal{N}=2$ gauged supergravity. In particular, we apply the procedure described by Tachikawa in [1]
In 1999 Thomas Appelquist, Andrew G. Cohen, and Martin Schmaltz (ACS) proposed a constraint on the structure of asymptotically-free field theories. This constraint limits the number of degrees of

## References

SHOWING 1-10 OF 36 REFERENCES

I discuss several issues about the irreversibility of the RG flow and the trace anomalies c, a and a'. First I argue that in quantum field theory: (i) the scheme-invariant area Δa' of the graph of
• Physics
• 1998
The relation between the trace and R-current anomalies in supersymmetric theories implies that the U(1){sub R}F{sup 2}, U(1){sub R}, and U(1){sub R}{sup 3} anomalies which are matched in studies of
In four dimensional N=1 supersymmetric field theory it is often the case that the $U(1)_R$ current that becomes part of the superconformal algebra at the infrared fixed point is conserved throughout