Orthogonal bases of invariants in tensor models
Abstract Representation theory provides an efficient framework to count and classify invariants in tensor models of (gauge) symmetry G d = U(N 1) ⊗ · · · ⊗ 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 con...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2018)089 |
| Summary: | Abstract Representation theory provides an efficient framework to count and classify invariants in tensor models of (gauge) symmetry G d = U(N 1) ⊗ · · · ⊗ 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. |
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| ISSN: | 1029-8479 |