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Singularities in String Theory

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Str<strong>in</strong>g theory on orbifolds<br />

Dixon, Harvey, Vafa, Witten<br />

• The extended nature of str<strong>in</strong>g theory <strong>in</strong>troduces<br />

additional degrees of freedom localized at the tip of<br />

the cone: twisted sectors.<br />

twisted sectors<br />

• Includ<strong>in</strong>g the twisted sectors, str<strong>in</strong>g S-matrix S<br />

is<br />

unitary and physics is completely smooth <strong>in</strong><br />

perturbation theory.

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