Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Z_N Berry phase and symmetry protected topological phases of SU(N)
  antiferromagnetic Heisenberg chain   The local Z_N quantized Berry phase for the SU(N) antiferromagnetic
Heisenberg spin model is formulated. This quantity, which is a generalization
of the local Z_2 Berry phase for SU(2) symmetry, has a direct correspondence to
the number of singlet pairs spanning on a particular bond, and is effective as
a tool to characterize and classify the various symmetry protected topological
phases of one-dimensional SU(N) spin systems. We extend the path-integral
quantum Monte Carlo method for the Z_2 Berry phase in order to calculate the ZN
Berry phase numerically. We demonstrate our method by calculating the Z_4 Berry
phase for the bond-alternating SU(4) antiferromagnetic Heisenberg chain, which
is represented by the Young diagram of four columns.

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The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: cs