Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Diffeomorphisms and Conformal Symmetry   We analyze the constraints of general coordinate invariance for quantum
theories possessing conformal symmetry in four dimensions. The character of
these constraints simplifies enormously on the Einstein universe $R \times
S^3$. The $SO(4,2)$ global conformal symmetry algebra of this space determines
uniquely a finite shift in the Hamiltonian constraint from its classical value.
In other words, the global Wheeler-De Witt equation is {\it modified} at the
quantum level in a well-defined way in this case. We argue that the higher
moments of $T^{00}$ should not be imposed on the physical states {\it a priori}
either, but only the weaker condition $\langle \dot T^{00} \rangle = 0$. We
present an explicit example of the quantization and diffeomorphism constraints
on $R \times S^3$ for a free conformal scalar field.

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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: math
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph