Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-02-02
Nucl.Phys. B429 (1994) 533-588
Physics
High Energy Physics
High Energy Physics - Theory
standard LaTeX; 55 pages, 4 figures. (Note: This replaced version matches the version which was published in Nuclear Physics B
Scientific paper
10.1016/0550-3213(94)90153-8
We investigate the generic distribution of bosonic and fermionic states at all mass levels in non-supersymmetric string theories, and find that a hidden ``misaligned supersymmetry'' must always appear in the string spectrum. We show that this misaligned supersymmetry is ultimately responsible for the finiteness of string amplitudes in the absence of full spacetime supersymmetry, and therefore the existence of misaligned supersymmetry provides a natural constraint on the degree to which spacetime supersymmetry can be broken in string theory without destroying the finiteness of string amplitudes. Misaligned supersymmetry also explains how the requirements of modular invariance and absence of physical tachyons generically affect the distribution of states throughout the string spectrum, and implicitly furnishes a two-variable generalization of some well-known results in the theory of modular functions.
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