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Quantum Foam and Topological Strings

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arxiv hep-th/0312022 v2 pith:B3R3RVLF submitted 2003-12-02 hep-th

Quantum Foam and Topological Strings

classification hep-th
keywords geometryquantumcrystalfoammeltinglimitscalescales
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We find an interpretation of the recent connection found between topological strings on Calabi-Yau threefolds and crystal melting: Summing over statistical mechanical configuration of melting crystal is equivalent to a quantum gravitational path integral involving fluctuations of Kahler geometry and topology. We show how the limit shape of the melting crystal emerges as the average geometry and topology of the quantum foam at the string scale. The geometry is classical at large length scales, modified to a smooth limit shape dictated by mirror geometry at string scale and is a quantum foam at area scales g_s \alpha'.

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Cited by 2 Pith papers

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  2. Charge functions for odd dimensional partitions

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    Proposes and proves for 5D an expression for charge functions of odd-dimensional partitions whose poles mark addable and removable boxes.