Quantum Gravity 234.1: U.C. Davis on Dimensions of SUSY Operators via AdS/CFT
- From: OsherD <mdoctorow@xxxxxxxxx>
- Date: Thu, 21 Feb 2008 21:57:32 -0800 (PST)
From Osher Doctorow
Giacomo Cacciapaglia, Guido Marandella, and John Terning, University
of California Davis, in "Dimensions of supersymmetric operators from
AdS/CFT," arXiv: 0802.2946 v1 [hep-ph] 20 Feb 2008, 12 pages, appear
to have established a correction and modification of the string theory
formula for the dimensions of fermion operators, by using explicit
SUSY formalism in examining the AdS/CFT correspondence to clarify the
relations between scalar and fermion operator dimensions corresponding
to a 4D N=1 SUSY CFT.
The results are as follows, where c is the bulk mass, df or d_f is the
fermion dimension, ds is the scalar dimension (there being for each c
domain, 2 CFTs dependent on boundary conditions on the UV brane):
1) for c > 1/2, either (a) ds = 3/2 + c, df = 2 + c, or (b) ds = 1, df
= 3/2
2) for -1/2 < c < 1/2, either (a) holds above or (b) ds = 3/2 - c, df
= 2 - c
3) for c < -(1/2), either (a) ds = 1, df = 3/2, or (b) ds = (3/2) - c,
df = 2 - c.
I don't have to remind Readers (I think) that these dfs are
differences, sums, or quotients drawn from the set:
4) {2, 3} supplemented by {+/-1, c}
which is a subset of the Fundamental set which I derived in the last
few posts.
Osher Doctorow
.
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