Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Fuzzy Torus and its Modular Properties   We consider a generalization of the basic fuzzy torus to a fuzzy torus with
non-trivial modular parameter, based on a finite matrix algebra. We discuss the
modular properties of this fuzzy torus, and compute the matrix Laplacian for a
scalar field. In the semi-classical limit, the generalized fuzzy torus can be
used to approximate a generic commutative torus represented by two generic
vectors in the complex plane, with generic modular parameter $\tau$. The
effective classical geometry and the spectrum of the Laplacian are correctly
reproduced in the limit. The spectrum of a matrix Dirac operator is also
computed.

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The categories of this paper are: dg-ga
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The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org