Orthogonal Bases of Invariants in Tensor Models
2018
Representation theory provides an efficient framework to count and classify invariants in tensor models of (gauge) symmetry G
d
= U(N1) ⊗ · · · ⊗ U(N
d
) . We show that there are two natural ways of counting invariants, one for arbitrary G
d
and another valid for large rank of G
d
. We construct basis of invariant operators based on the counting, and compute correlators of their elements. The basis associated with finite rank of G
d
diagonalizes two-point function. It is analogous to the restricted Schur basis used in matrix models. We comment on future directions for investigation.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
42
References
32
Citations
NaN
KQI