Closed string tachyons, non-symmetric orbifolds and generalized McKay correspondence

He, Yang-Hui

doi:10.4310/atmp.2003.v7.n1.a5

Cited by 7 publications

(4 citation statements)

References 31 publications

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“…The worldsheet dynamics also supports the expectation that the cone will relax finally to flat space. Various aspects of localized tachyons and related systems have been analyzed in [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. For a recent review see [35].…”

Section: A Conjecturementioning

confidence: 99%

Off-Shell Interactions of Closed-String Tachyons

Dabholkar¹

2004

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Off-shell interactions for localized closed-string tachyons in C/Z N superstring backgrounds are analyzed and a conjecture for the effective height of the tachyon potential is elaborated. At large N, some of the relevant tachyons are nearly massless and their interactions can be deduced from the S-matrix. The cubic interactions between these tachyons and the massless fields are computed in a closed form using orbifold CFT techniques. The cubic interaction between nearly-massless tachyons with different charges is shown to vanish and thus condensation of one tachyon does not source the others. It is shown that to leading order in N, the quartic contact interaction vanishes and the massless exchanges completely account for the four point scattering amplitude. This indicates that it is necessary to go beyond quartic interactions or to include other fields to test the conjecture for the height of the tachyon potential.

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Section: A Conjecturementioning

confidence: 99%

Off-Shell Interactions of Closed-String Tachyons

Dabholkar¹

2004

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“…We would like to thank J. David 31 See also [13] [46] for similar discussions in four dimensional unstable orbifolds.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Evolution of D-branes under closed string tachyon condensation

Minwalla

Takayanagi

2003

J. High Energy Phys.

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We study the evolution of stable D-branes of C/Z n and twisted circle theories in the process of closed string tachyon condensation. We interpret the fractional branes in these backgrounds as type II branes wrapping ('blown up') cycles, and trace the evolution of the corresponding cycles under tachyon condensation. We also study RG flows of the corresponding N = 2 boundary conformal field theories. We find flows along which fractional D-branes either disappear or evolve into other fractional D-branes, and other flows along which bulk branes either disappear or evolve into stable branes.

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“…Finite subgroups Γ of SU (3) ⊂ G 2 were studied by many mathematicians, as well as physicists, for example, see [8][12] [13][15] [16] and the references therein, and the McKay correspondence relates the geometry of the Calabi-Yau threefolds which are the crepant resolutions of C 3 /Γ and the orbifold (or stingy) geometry of C 3 /Γ ([12] [13]). There is also a version at the level of derived categories, see [3].…”

Section: 2mentioning

confidence: 99%