Localized tachyon condensation and G-parity conservation

Lee, Sunggeun; Sin, Sang-Jin

doi:10.1088/1126-6708/2004/01/054

Cited by 9 publications

(19 citation statements)

References 12 publications

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“…However the trajectories 1 and 4 that involve flip transitions may pass arbitrarily close to a unstable IR fixed point (i.e., an unstable phase) before eventually flowing to a stable IR fixed point. 18 In this sense, one could think of the blowdown+blowup as the JHEP02 (2005)062 combination of an irrelevant and a relevant operator in the GLSM. Indeed this is borne out by the coefficient of the FI parameter r eff for the corresponding relative U(1) in section 3.2.…”

Section: Jhep02(2005)062mentioning

confidence: 99%

On tachyons, gauged linear sigma models, and flip transitions

Morrison

Narayan

2005

J. High Energy Phys.

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We study systems of multiple localized closed string tachyons and the phenomena associated with their condensation, in C 3 /Z N nonsupersymmetric noncompact orbifold singularities using gauged linear sigma model constructions, following hep-th/0406039.Our study reveals close connections between the combinatorics of nonsupersymmetric flip transitions (between topologically distinct resolutions of the original singularity), the physics of tachyons of different degrees of relevance and the singularity structure of the corresponding residual endpoint geometries. This in turn can be used to study the stability of the phases of gauged linear sigma models and gain qualitative insight into the closed string tachyon potential.

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Section: Jhep02(2005)062mentioning

confidence: 99%

On tachyons, gauged linear sigma models, and flip transitions

Morrison

Narayan

2005

J. High Energy Phys.

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“…On the other hand, K-theory of the Hirzebruch-Jung manifold is of rank r + 1. The compactly supported 3 The GSO projection is also discussed in [4][21] [22].…”

Section: Glsm and Special Representationsmentioning

confidence: 99%

Localized Tachyons and the Quantum McKay Correspondence

Moore

Parnachev

2004

J. High Energy Phys.

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The condensation of closed string tachyons localized at the fixed point of a C d /Γ orbifold can be studied in the framework of renormalization group flow in a gauged linear sigma model. The evolution of the Higgs branch along the flow describes a resolution of singularities via the process of tachyon condensation. The study of the fate of D-branes in this process has lead to a notion of a "quantum McKay correspondence." This is a hypothetical correspondence between fractional branes in an orbifold singularity in the ultraviolet with the Coulomb and Higgs branch branes in the infrared. In this paper we present some nontrivial evidence for this correspondence in the case C 2 /Z Z n by relating the intersection form of fractional branes to that of "Higgs branch branes," the latter being branes which wrap nontrivial cycles in the resolved space.

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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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Localized tachyon condensation and G-parity conservation

Cited by 9 publications

References 12 publications

On tachyons, gauged linear sigma models, and flip transitions

On tachyons, gauged linear sigma models, and flip transitions

Localized Tachyons and the Quantum McKay Correspondence

Off-Shell Interactions of Closed-String Tachyons

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