Topological B-model and ĉ = 1 string theory

Seungjoon Hyun; Kyungho Oh; Jong Dae Park; Sang Heon Yi

doi:10.1016/j.nuclphysb.2005.08.048

Topological B-model and ĉ = 1 string theory

Seungjoon Hyun, Kyungho Oh, Jong Dae Park, Sang Heon Yi

Department of Physics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We study the topological B-model on a deformed Z₂ orbifolded conifold by investigating variation of complex structures via quantum Kodaira-Spencer theories. The fermionic/brane formulation together with systematic utilization of symmetries of the geometry gives rise to a free fermion realization of the amplitudes. We derive Ward identities which solve the perturbed free energy exactly. We also obtain the corresponding Kontsevich-like matrix model. All these confirm the recent conjecture on the connection of the theory with ĉ = 1 type 0A string theory compactified at the radius R = √α′/2.

Original language	English
Pages (from-to)	135-162
Number of pages	28
Journal	Nuclear Physics B
Volume	729
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2005.08.048
Publication status	Published - 2005 Nov 21

Bibliographical note

Funding Information:
We would like to thank Jae-Suk Park for valuable discussions. S.H., K.O. and J.-D.P. would like to thank the Korea Institute for Advanced Study (KIAS) for its hospitality, where this work has been completed. This work was supported by the Korea Research Foundation Grant KRF-2004-042-C00023.

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/j.nuclphysb.2005.08.048

Cite this

@article{1a94f310ea9c426a97d41f0c592c3a0d,

title = "Topological B-model and ĉ = 1 string theory",

abstract = "We study the topological B-model on a deformed Z2 orbifolded conifold by investigating variation of complex structures via quantum Kodaira-Spencer theories. The fermionic/brane formulation together with systematic utilization of symmetries of the geometry gives rise to a free fermion realization of the amplitudes. We derive Ward identities which solve the perturbed free energy exactly. We also obtain the corresponding Kontsevich-like matrix model. All these confirm the recent conjecture on the connection of the theory with ĉ = 1 type 0A string theory compactified at the radius R = √α′/2.",

author = "Seungjoon Hyun and Kyungho Oh and Park, {Jong Dae} and Yi, {Sang Heon}",

note = "Funding Information: We would like to thank Jae-Suk Park for valuable discussions. S.H., K.O. and J.-D.P. would like to thank the Korea Institute for Advanced Study (KIAS) for its hospitality, where this work has been completed. This work was supported by the Korea Research Foundation Grant KRF-2004-042-C00023. ",

year = "2005",

month = nov,

day = "21",

doi = "10.1016/j.nuclphysb.2005.08.048",

language = "English",

volume = "729",

pages = "135--162",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Topological B-model and ĉ = 1 string theory

AU - Hyun, Seungjoon

AU - Oh, Kyungho

AU - Park, Jong Dae

AU - Yi, Sang Heon

N1 - Funding Information: We would like to thank Jae-Suk Park for valuable discussions. S.H., K.O. and J.-D.P. would like to thank the Korea Institute for Advanced Study (KIAS) for its hospitality, where this work has been completed. This work was supported by the Korea Research Foundation Grant KRF-2004-042-C00023.

PY - 2005/11/21

Y1 - 2005/11/21

N2 - We study the topological B-model on a deformed Z2 orbifolded conifold by investigating variation of complex structures via quantum Kodaira-Spencer theories. The fermionic/brane formulation together with systematic utilization of symmetries of the geometry gives rise to a free fermion realization of the amplitudes. We derive Ward identities which solve the perturbed free energy exactly. We also obtain the corresponding Kontsevich-like matrix model. All these confirm the recent conjecture on the connection of the theory with ĉ = 1 type 0A string theory compactified at the radius R = √α′/2.

AB - We study the topological B-model on a deformed Z2 orbifolded conifold by investigating variation of complex structures via quantum Kodaira-Spencer theories. The fermionic/brane formulation together with systematic utilization of symmetries of the geometry gives rise to a free fermion realization of the amplitudes. We derive Ward identities which solve the perturbed free energy exactly. We also obtain the corresponding Kontsevich-like matrix model. All these confirm the recent conjecture on the connection of the theory with ĉ = 1 type 0A string theory compactified at the radius R = √α′/2.

UR - http://www.scopus.com/inward/record.url?scp=27544481837&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27544481837&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2005.08.048

DO - 10.1016/j.nuclphysb.2005.08.048

M3 - Article

AN - SCOPUS:27544481837

VL - 729

SP - 135

EP - 162

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -

Topological B-model and ĉ = 1 string theory

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this