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Geometrically induced phase transitions at large N

Jonathan J. Heckman and Cumrun Vafa

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Utilizing the large N dual description of a metastable system of branes and anti-branes wrapping rigid homologous S2's in a non-compact Calabi-Yau threefold, we study phase transitions induced by changing the positions of the S2'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 S2'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 S2'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.

Keywords

Supersymmetry Breaking

Flux compactifications

D-branes

Gauge-gravity correspondence

 

E-print Number: 0707.4011

Cited: by |

Refers: to

PACS

11.25.Yb M theory

11.15.Pg Expansions for large numbers of components (e.g., 1/Nc expansions)

11.25.Tq Gauge/string duality

11.25.Uv D branes

11.30.Pb Supersymmetry

14.80.Mz Axions and other Nambu-Goldstone bosons (Majorons, familons, etc.)

Subjects

Particle physics and field theory

Dates

Issue 04 (April 2008)

Received 30 March 2008, accepted for publication 1 April 2008

Published 14 April 2008



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