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Singularities in String Theory

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Mapp<strong>in</strong>g of physical quantities<br />

• Gauge <strong>in</strong>variant<br />

operator O<br />

• Field φ <strong>in</strong> AdS<br />

• Dimension ν<br />

• F<strong>in</strong>ite temperature twopo<strong>in</strong>t<br />

functions<br />

of O<br />

• Particle mass m<br />

• Free propagator of φ <strong>in</strong><br />

the Hartle-Hawk<strong>in</strong>g<br />

vacuum of the AdS black<br />

hole background<br />

The boundary theory has a cont<strong>in</strong>uous spectrum <strong>in</strong> the<br />

large N limitdespite be<strong>in</strong>g on a compact space.

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