Mirror symmetry is T-duality

Andrew Strominger; Shing Tung Yau; Eric Zaslow

doi:10.1016/0550-3213(96)00434-8

Mirror symmetry is T-duality

Andrew Strominger^*, Shing Tung Yau, Eric Zaslow

^*Corresponding author for this work

Mathematics

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

809 Scopus citations

Abstract

It is argued that every Calabi-Yau manifold X with a mirror Y admits a family of supersymmetric toroidal 3-cycles. Moreover the moduli space of such cycles together with their flat connections is precisely the space Y. The mirror transformation is equivalent to T-duality on the 3-cycles. The geometry of moduli space is addressed in a general framework. Several examples are discussed.

Original language	English (US)
Pages (from-to)	243-259
Number of pages	17
Journal	Nuclear Physics B
Volume	479
Issue number	1-2
DOIs	https://doi.org/10.1016/0550-3213(96)00434-8
State	Published - Nov 11 1996

Funding

We would like to thank M. Bershadsky, D. Morrison, A. Sen, K. Smoczyk, P. Townsend and C. Vafa for useful discussions. The research of A.S. is supported in part by DOE grant DOE-91ER40618; that of S.-T.Y. and E.Z. by grant DE-F602-88ER-25065. A.S. wishes to thank the physics and mathematics departments at Harvard, the mathematics department at MIT, and the physics department at Rutgers for hospitality and support during the course of this work.

Keywords

BPS
D-branes
Duality
Mirror symmetry

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(96)00434-8

Cite this

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title = "Mirror symmetry is T-duality",

abstract = "It is argued that every Calabi-Yau manifold X with a mirror Y admits a family of supersymmetric toroidal 3-cycles. Moreover the moduli space of such cycles together with their flat connections is precisely the space Y. The mirror transformation is equivalent to T-duality on the 3-cycles. The geometry of moduli space is addressed in a general framework. Several examples are discussed.",

keywords = "BPS, D-branes, Duality, Mirror symmetry",

author = "Andrew Strominger and Yau, {Shing Tung} and Eric Zaslow",

note = "Funding Information: We would like to thank M. Bershadsky, D. Morrison, A. Sen, K. Smoczyk, P. Townsend and C. Vafa for useful discussions. The research of A.S. is supported in part by DOE grant DOE-91ER40618; that of S.-T.Y. and E.Z. by grant DE-F602-88ER-25065. A.S. wishes to thank the physics and mathematics departments at Harvard, the mathematics department at MIT, and the physics department at Rutgers for hospitality and support during the course of this work.",

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doi = "10.1016/0550-3213(96)00434-8",

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AU - Yau, Shing Tung

AU - Zaslow, Eric

N1 - Funding Information: We would like to thank M. Bershadsky, D. Morrison, A. Sen, K. Smoczyk, P. Townsend and C. Vafa for useful discussions. The research of A.S. is supported in part by DOE grant DOE-91ER40618; that of S.-T.Y. and E.Z. by grant DE-F602-88ER-25065. A.S. wishes to thank the physics and mathematics departments at Harvard, the mathematics department at MIT, and the physics department at Rutgers for hospitality and support during the course of this work.

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N2 - It is argued that every Calabi-Yau manifold X with a mirror Y admits a family of supersymmetric toroidal 3-cycles. Moreover the moduli space of such cycles together with their flat connections is precisely the space Y. The mirror transformation is equivalent to T-duality on the 3-cycles. The geometry of moduli space is addressed in a general framework. Several examples are discussed.

AB - It is argued that every Calabi-Yau manifold X with a mirror Y admits a family of supersymmetric toroidal 3-cycles. Moreover the moduli space of such cycles together with their flat connections is precisely the space Y. The mirror transformation is equivalent to T-duality on the 3-cycles. The geometry of moduli space is addressed in a general framework. Several examples are discussed.

KW - BPS

KW - D-branes

KW - Duality

KW - Mirror symmetry

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Mirror symmetry is T-duality

Abstract

Funding

Keywords

ASJC Scopus subject areas

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