BPS states, string duality, and nodal curves on K3

Shing Tung Yau; Eric Zaslow

doi:10.1016/0550-3213(96)00176-9

BPS states, string duality, and nodal curves on K3

Shing Tung Yau^*, Eric Zaslow

^*Corresponding author for this work

Mathematics

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

101 Scopus citations

Abstract

We describe the counting of BPS states of Type II on K3 by relating the supersymmetric cycles of genus g to the number of rational curves with g double points on K3. The generating function for the number of such curves is the left-moving partition function of the bosonic string.

Original language	English (US)
Pages (from-to)	503-512
Number of pages	10
Journal	Nuclear Physics B
Volume	471
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(96)00176-9
State	Published - Jul 15 1996

Keywords

BPS
K3
Rational curves
S-duality

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(96)00176-9

Cite this

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title = "BPS states, string duality, and nodal curves on K3",

abstract = "We describe the counting of BPS states of Type II on K3 by relating the supersymmetric cycles of genus g to the number of rational curves with g double points on K3. The generating function for the number of such curves is the left-moving partition function of the bosonic string.",

keywords = "BPS, K3, Rational curves, S-duality",

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

year = "1996",

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AU - Zaslow, Eric

PY - 1996/7/15

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N2 - We describe the counting of BPS states of Type II on K3 by relating the supersymmetric cycles of genus g to the number of rational curves with g double points on K3. The generating function for the number of such curves is the left-moving partition function of the bosonic string.

AB - We describe the counting of BPS states of Type II on K3 by relating the supersymmetric cycles of genus g to the number of rational curves with g double points on K3. The generating function for the number of such curves is the left-moving partition function of the bosonic string.

KW - BPS

KW - K3

KW - Rational curves

KW - S-duality

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BPS states, string duality, and nodal curves on K3

Abstract

Keywords

ASJC Scopus subject areas

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