Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Analysis of Anomaly Cancellation for Theories in D=10   We prove that the swampland for D=10 N=1 SUGRA coupled to D=10 N=1 SYM is
only populated by U(1)^496 and E_8 x U(1)^248. With this goal in mind, we
review the anomalies for classical and exceptional groups, retrieving trace
identities up to the sixth power of the curvature for each class of groups. We
expand this idea for low-dimensional groups, for which the trace of the sixth
power is known to factorize, and we retrieve such factorization. We obtain the
total anomaly polynomials for individual low dimensional groups and
combinations of them and finally we investigate their non-factorization, in
such a way that U(1)^496and E_8 xU(1)^248 are non-trivially shown to be the
only anomaly-free theories allowed in D=10. Using the method developed for
checking the factorization of gauge theories, we retrieve the Green-Schwarz
terms for the two theories populating the swampland.

17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: math-ph