Mirror symmetry of Calabi-Yau supermanifolds

Changhyun Ahn

doi:10.1142/S0217732305016683

Mirror symmetry of Calabi-Yau supermanifolds

Changhyun Ahn

Department of Physics

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

11 Scopus citations

Abstract

We study super Landau-Ginzburg mirrors of the weighted projective superspace WCP^3|2 which is a Calabi-Yau supermanifold and appeared in hep-th/0312171¹ in the topological B-model. One of them is an elliptic fibration over the complex plane whose coordinate is given in terms of two bosonic and two fermionic variables as well as Kähler parameter of WCP^3|2. The other is some patch of a degree-3 Calabi-Yau hypersurface in CP² fibered by the complex plane whose coordinate depends on both the above four variables and Kähler parameter but its dependence behaves quite differently.

Original language	English
Pages (from-to)	407-418
Number of pages	12
Journal	Modern Physics Letters A
Volume	20
Issue number	6
DOIs	https://doi.org/10.1142/S0217732305016683
State	Published - 28 Feb 2005

Keywords

Calabi-yau
Landau-ginzburg mirror
Supermanifold

Access to Document

10.1142/S0217732305016683

Cite this

@article{ed2e517f4c5d4338a4f3b4a150605968,

title = "Mirror symmetry of Calabi-Yau supermanifolds",

abstract = "We study super Landau-Ginzburg mirrors of the weighted projective superspace WCP3|2 which is a Calabi-Yau supermanifold and appeared in hep-th/03121711 in the topological B-model. One of them is an elliptic fibration over the complex plane whose coordinate is given in terms of two bosonic and two fermionic variables as well as K{\"a}hler parameter of WCP3|2. The other is some patch of a degree-3 Calabi-Yau hypersurface in CP2 fibered by the complex plane whose coordinate depends on both the above four variables and K{\"a}hler parameter but its dependence behaves quite differently.",

keywords = "Calabi-yau, Landau-ginzburg mirror, Supermanifold",

author = "Changhyun Ahn",

year = "2005",

month = feb,

day = "28",

doi = "10.1142/S0217732305016683",

language = "English",

volume = "20",

pages = "407--418",

journal = "Modern Physics Letters A",

issn = "0217-7323",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "6",

}

TY - JOUR

T1 - Mirror symmetry of Calabi-Yau supermanifolds

AU - Ahn, Changhyun

PY - 2005/2/28

Y1 - 2005/2/28

N2 - We study super Landau-Ginzburg mirrors of the weighted projective superspace WCP3|2 which is a Calabi-Yau supermanifold and appeared in hep-th/03121711 in the topological B-model. One of them is an elliptic fibration over the complex plane whose coordinate is given in terms of two bosonic and two fermionic variables as well as Kähler parameter of WCP3|2. The other is some patch of a degree-3 Calabi-Yau hypersurface in CP2 fibered by the complex plane whose coordinate depends on both the above four variables and Kähler parameter but its dependence behaves quite differently.

AB - We study super Landau-Ginzburg mirrors of the weighted projective superspace WCP3|2 which is a Calabi-Yau supermanifold and appeared in hep-th/03121711 in the topological B-model. One of them is an elliptic fibration over the complex plane whose coordinate is given in terms of two bosonic and two fermionic variables as well as Kähler parameter of WCP3|2. The other is some patch of a degree-3 Calabi-Yau hypersurface in CP2 fibered by the complex plane whose coordinate depends on both the above four variables and Kähler parameter but its dependence behaves quite differently.

KW - Calabi-yau

KW - Landau-ginzburg mirror

KW - Supermanifold

UR - http://www.scopus.com/inward/record.url?scp=17644377574&partnerID=8YFLogxK

U2 - 10.1142/S0217732305016683

DO - 10.1142/S0217732305016683

M3 - Article

AN - SCOPUS:17644377574

SN - 0217-7323

VL - 20

SP - 407

EP - 418

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 6

ER -

Mirror symmetry of Calabi-Yau supermanifolds

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this