Geometrically Induced Phase Transitions at Large N

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dc.creatorHeckman, Jonathan J.
dc.creatorVafa, Cumrun
dc.date2007-07-27
dc.date.accessioned2026-07-07T11:18:10Z
dc.date.available2026-07-07T11:18:10Z
dc.descriptionUtilizing the large N dual description of a metastable system of branes and anti-branes wrapping rigid homologous S^2's in a non-compact Calabi-Yau threefold, we study phase transitions induced by changing the positions of the S^2's. At leading order in 1/N the effective potential for this system is computed by the planar limit of an auxiliary matrix model. Beginning at the two loop correction, the degenerate vacuum energy density of the discrete confining vacua split, and a potential is generated for the axion. Changing the relative positions of the S^2's causes discrete jumps in the energetically preferred confining vacuum and can also obstruct direct brane/anti-brane annihilation processes. The branes must hop to nearby S^2's before annihilating, thus significantly increasing the lifetime of the corresponding non-supersymmetric vacua. We also speculate that misaligned metastable glueball phases may generate a repulsive inter-brane force which stabilizes the radial mode present in compact Calabi-Yau threefolds.
dc.description47 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0707.4011
dc.identifierhttp://arxiv.org/abs/0707.4011
dc.identifierJHEP0804:052,2008
dc.identifierdoi:10.1088/1126-6708/2008/04/052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193252
dc.subjectHigh Energy Physics - Theory
dc.titleGeometrically Induced Phase Transitions at Large N
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