Skip to content

Commit 74e08d4

Browse files
committed
Fix box to be technically correct.
1 parent db13df8 commit 74e08d4

File tree

1 file changed

+7
-6
lines changed

1 file changed

+7
-6
lines changed

docs/src/appendix/symmetric_tutorial.md

Lines changed: 7 additions & 6 deletions
Original file line numberDiff line numberDiff line change
@@ -513,12 +513,13 @@ We can then combine these operators to get the appropriate Hamiltonian terms,
513513
Although we have made a suggestive distinction between the 'left' and 'right' versions of
514514
the operators $a_L^\pm$ and $a_R^\pm$, one can actually be obtained from the other by
515515
permuting the physical and auxiliary indices of the corresponding `TensorMap`s. This
516-
permutation has no effect on the actual subblocks of the tensors due to the bosonic
517-
[`BraidingStyle`](@ref) of $\mathrm{U}(1)$ irreps, so the left and right operators can
518-
in essence be seen as the 'same' tensors. This is no longer the case when considering
519-
fermionic systems, where permuting indices can in fact change the subblocks as we will
520-
see next. As a consequence, it is much less clear how to construct two-site symmetric
521-
operators in terms of local symmetric objects.
516+
permutation has no effect on the actual subblocks of the tensors due to the Abelian
517+
[`FusionStyle`](@ref) and bosonic [`BraidingStyle`](@ref) of $\mathrm{U}(1)$ irreps, so
518+
the left and right operators can in essence be seen as the 'same' tensors. This is no
519+
longer the case when considering non-Abelian or symmetries. For these cases, permuting
520+
indices can in fact change the subblocks, as we will see next. As a consequence, it is
521+
much less clear how to construct two-site symmetric operators in terms of local
522+
symmetric objects.
522523

523524
The explicit construction then looks something like
524525

0 commit comments

Comments
 (0)