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Abstract: Utilizing the large N dual description of a metastable system of branes andanti-branes wrapping rigid homologous S^2-s in a non-compact Calabi-Yauthreefold, we study phase transitions induced by changing the positions of theS^2-s. At leading order in 1-N the effective potential for this system iscomputed by the planar limit of an auxiliary matrix model. Beginning at the twoloop correction, the degenerate vacuum energy density of the discrete confiningvacua split, and a potential is generated for the axion. Changing the relativepositions of the S^2-s causes discrete jumps in the energetically preferredconfining vacuum and can also obstruct direct brane-anti-brane annihilationprocesses. The branes must hop to nearby S^2-s before annihilating, thussignificantly increasing the lifetime of the corresponding non-supersymmetricvacua. We also speculate that misaligned metastable glueball phases maygenerate a repulsive inter-brane force which stabilizes the radial mode presentin compact Calabi-Yau threefolds.



Autor: Jonathan J. Heckman, Cumrun Vafa

Fuente: https://arxiv.org/







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