The Exact superconformal R-symmetry minimizes tau(RR)

Barnes, Edwin; Gorbatov, Elie; Intriligator, Kenneth A.; Sudano, Matt; Wright, Jason

doi:10.1016/j.nuclphysb.2005.10.003

The Exact superconformal R-symmetry minimizes tau(RR)

Edwin Barnes
(
- UC, San Diego
)
,
Elie Gorbatov
(
- UC, San Diego
)
,
Kenneth A. Intriligator
(
- UC, San Diego
)
,
Matt Sudano
(
- UC, San Diego
)
,
Jason Wright
(
- UC, San Diego
)

Jun, 2005

18 pages

Published in:

Nucl.Phys.B 730 (2005) 210-222

e-Print:

hep-th/0507137 [hep-th]

DOI:

10.1016/j.nuclphysb.2005.10.003

Report number:

UCSD-PTH-05-09

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Abstract:

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 that which minimizes the coefficient,

\tau_{RR}

, of its two-point function. Equivalently, the superconformal

U(1)_R

is the unique one with vanishing two-point function with every non-R flavor symmetry. For 4d

\N =1

SCFTs,

\tau_{RR}

minimization gives an alternative to a-maximization.

\tau_{RR}

minimization also applies in 3d, where no condition for determining the superconformal

U(1)_R

had been previously known. Unfortunately, this constraint seems impractical to implement for interacting field theories. But it can be readily implemented in the AdS geometry for SCFTs with AdS duals.

field theory: conformal
dimension: 2
supersymmetry: superfield
symmetry: U(1)
R parity
current: correlation function
effective action
gauge field theory: SU(N)
fermion: flavor

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