Instanton sums and five-dimensional gauge theories

Albion Lawrence; Nikita Nekrasov

doi:10.1016/S0550-3213(97)00694-9

Instanton sums and five-dimensional gauge theories

Albion Lawrence
, Nikita Nekrasov

Simons Center for Geometry & Physics

Harvard University

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

55 Scopus citations

Abstract

We analyze the vector multiplet prepotential of d = 4, script N = 2 type IIA compactifications. We find that the world-sheet instanton corrections have a natural interpretation as one-loop corrections in five dimensions, with the extra dimension compactified on a circle of radius g_sl_s. We argue that the relation between space-time and world-sheet instantons is natural from this point of view. We also discuss the map between the type IIA world-sheet instantons and the space-time instantons in the heterotic dual.

Original language	English
Pages (from-to)	239-265
Number of pages	27
Journal	Nuclear Physics, Section B
Volume	513
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(97)00694-9
State	Published - Mar 2 1998

Keywords

Calabi-Yau compactifications
M-theory
String theory

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Cite this

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abstract = "We analyze the vector multiplet prepotential of d = 4, script N = 2 type IIA compactifications. We find that the world-sheet instanton corrections have a natural interpretation as one-loop corrections in five dimensions, with the extra dimension compactified on a circle of radius gsls. We argue that the relation between space-time and world-sheet instantons is natural from this point of view. We also discuss the map between the type IIA world-sheet instantons and the space-time instantons in the heterotic dual.",

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AB - We analyze the vector multiplet prepotential of d = 4, script N = 2 type IIA compactifications. We find that the world-sheet instanton corrections have a natural interpretation as one-loop corrections in five dimensions, with the extra dimension compactified on a circle of radius gsls. We argue that the relation between space-time and world-sheet instantons is natural from this point of view. We also discuss the map between the type IIA world-sheet instantons and the space-time instantons in the heterotic dual.

KW - Calabi-Yau compactifications

KW - M-theory

KW - String theory

UR - https://www.scopus.com/pages/publications/0032473152

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IS - 1-2

ER -

Instanton sums and five-dimensional gauge theories

Abstract

Keywords

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