Built on

H. Osborn and A. C. Petkou, Implications of conformal invariance in field theories for general dimensions
1994
Earlier work this paper cites.
A. Petkou, Conserved currents, consistency relations and operator product expansions in the conformally invariant O(N) vector model
1996
Earlier work this paper cites.
A. C. Petkou, Operator product expansions and consistency relations in a O(N) invariant fermionic CFT for 2 < d < 4 2<d<4
1996
Earlier work this paper cites.
L. Hoffmann, A. C. Petkou, and W. Ruhl, A Note on the analyticity of AdS scalar exchange graphs in the crossed channel
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, Conformal four point functions and the operator product expansion
2001
Earlier work this paper cites.
L. Hoffmann, A. C. Petkou, and W. Ruhl, Aspects of the conformal operator product expansion in AdS / CFT correspondence
2002
Earlier work this paper cites.
F. A. Dolan and H. Osborn, Conformal partial waves and the operator product expansion
2004
Earlier work this paper cites.

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2016

The free $\sigma$CFTs

Guerrieri, Andrea, Petkou, Anastasios C., Wen, Congkao

Understand

We introduce the conformal field theories that describe the shadows of the lowest dimension composites made out of massless free scalars and fermions in $d$ dimensions.

We argue that these theories can be consistently defined as free CFTs for even $d\geq 4$.
We use OPE techniques to study their spectrum and show that for $d\rightarrow\infty$ it matches that of free bosonic CFTs in $d=6$ and $d=4$ dimensions.
For these $\sigma$CFTs we calculate $c_T$ in $d=6,8,10$ and $12$ dimensions using the OPE and also a direct construction of their higher-derivative energy momentum tensors.

Built on

H. Osborn and A. C. Petkou, Implications of conformal invariance in field theories for general dimensions
1994
Earlier work this paper cites.
A. Petkou, Conserved currents, consistency relations and operator product expansions in the conformally invariant O(N) vector model
1996
Earlier work this paper cites.
A. C. Petkou, Operator product expansions and consistency relations in a O(N) invariant fermionic CFT for 2 < d < 4 2<d<4
1996
Earlier work this paper cites.
L. Hoffmann, A. C. Petkou, and W. Ruhl, A Note on the analyticity of AdS scalar exchange graphs in the crossed channel
2000
Earlier work this paper cites.
F. A. Dolan and H. Osborn, Conformal four point functions and the operator product expansion
2001
Earlier work this paper cites.
L. Hoffmann, A. C. Petkou, and W. Ruhl, Aspects of the conformal operator product expansion in AdS / CFT correspondence
2002
Earlier work this paper cites.
F. A. Dolan and H. Osborn, Conformal partial waves and the operator product expansion
2004
Earlier work this paper cites.