Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite in All Directions   We study toroidal compactifications of string theories which include
compactification of a timelike coordinate. Some new features in the theory of
toroidal compactifications arise. Most notably, Narain moduli space does not
exist as a manifold since the action of duality on background data is ergodic.
For special compactifications certain infinite dimensional symmetries,
analogous to the infinite dimensional symmetries of the $2D$ string are
unbroken. We investigate the consequences of these symmetries and search for a
universal symmetry which contains all unbroken gauge groups. We define a flat
connection on the moduli space of toroidally compactified theories. Parallel
transport by this connection leads to a formulation of broken symmetry Ward
identities. In an appendix this parallel transport is related to a definition
of conformal perturbation theory.

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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: math