# 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} }

## 143 Citations

### New checks and subtleties for AdS/CFT and a-maximization

- 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…

### The exact superconformal R-symmetry minimizes τRR

- 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…

### Δa curiosities in some 4d susy RG flows

- 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…

### Gradient-flow equations for general Quantum Field Theories

- Physics
- 2018

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…

### Consequences of Weyl consistency conditions

- 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…

### On renormalization group flows and the a-theorem in 6d

- 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…

### Comments on a-maximization from gauged supergravity

- Physics
- 2012

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]…

### Series of Tests of a Constraint on Asymptotically Free Gauge Theories

- Mathematics
- 2014

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…

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- 2004

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…

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- Physics
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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…

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- Physics
- 2003

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…