Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories

S. Sethi; M. Stern; E. Zaslow

doi:10.1016/0550-3213(95)00517-X

Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories

S. Sethi^*, M. Stern, E. Zaslow

^*Corresponding author for this work

Mathematics

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

51 Scopus citations

Abstract

We study the existence of monopole bound states saturating the BPS bound in N = 2 supersymmetric Yang-Mills theories. We describe how the existence of such bound states relates to the topology of index bundles over the moduli space of BPS solutions. Using an L² index theorem, we prove the existence of certain BPS states predicted by Seiberg and Witten based on their study of the vacuum structure of N = 2 Yang-Mills theories.

Original language	English (US)
Pages (from-to)	484-510
Number of pages	27
Journal	Nuclear Physics, Section B
Volume	457
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(95)00517-X
State	Published - Dec 25 1995

Funding

We would like to thankJ . Harvey,N . Hitchin, B.J. SchroersI,. Singer,C . Vafa and S.-T. Yau for discussionsT.h e work of S.S. was supporteidn partb y a Hertz Fellowship, NSF grantsP HY-92-18167P, HY-89-57162a nd a PackardF ellowship;t hatof M.S. by NSF GrantD MS 9505040a; nd that of E.Z. by grantD E-FG02-88ER-25065. 1 Supported in part by the Fannie and John Hertz Foundation. E-mail: sethi@ string.harvard.edu. 2 Supported in part by NSF Grant DMS 9505040. 3 Supported in part by DE-FG02-88ER-25065. E-mail: zaslow@ math.harvard.edu.

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(95)00517-X

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title = "Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories",

abstract = "We study the existence of monopole bound states saturating the BPS bound in N = 2 supersymmetric Yang-Mills theories. We describe how the existence of such bound states relates to the topology of index bundles over the moduli space of BPS solutions. Using an L2 index theorem, we prove the existence of certain BPS states predicted by Seiberg and Witten based on their study of the vacuum structure of N = 2 Yang-Mills theories.",

author = "S. Sethi and M. Stern and E. Zaslow",

note = "Funding Information: We would like to thankJ . Harvey,N . Hitchin, B.J. SchroersI,. Singer,C . Vafa and S.-T. Yau for discussionsT.h e work of S.S. was supporteidn partb y a Hertz Fellowship, NSF grantsP HY-92-18167P, HY-89-57162a nd a PackardF ellowship;t hatof M.S. by NSF GrantD MS 9505040a; nd that of E.Z. by grantD E-FG02-88ER-25065. Funding Information: 1 Supported in part by the Fannie and John Hertz Foundation. E-mail: sethi@ string.harvard.edu. 2 Supported in part by NSF Grant DMS 9505040. 3 Supported in part by DE-FG02-88ER-25065. E-mail: zaslow@ math.harvard.edu.",

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doi = "10.1016/0550-3213(95)00517-X",

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T1 - Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories

AU - Sethi, S.

AU - Stern, M.

AU - Zaslow, E.

N1 - Funding Information: We would like to thankJ . Harvey,N . Hitchin, B.J. SchroersI,. Singer,C . Vafa and S.-T. Yau for discussionsT.h e work of S.S. was supporteidn partb y a Hertz Fellowship, NSF grantsP HY-92-18167P, HY-89-57162a nd a PackardF ellowship;t hatof M.S. by NSF GrantD MS 9505040a; nd that of E.Z. by grantD E-FG02-88ER-25065. Funding Information: 1 Supported in part by the Fannie and John Hertz Foundation. E-mail: sethi@ string.harvard.edu. 2 Supported in part by NSF Grant DMS 9505040. 3 Supported in part by DE-FG02-88ER-25065. E-mail: zaslow@ math.harvard.edu.

PY - 1995/12/25

Y1 - 1995/12/25

N2 - We study the existence of monopole bound states saturating the BPS bound in N = 2 supersymmetric Yang-Mills theories. We describe how the existence of such bound states relates to the topology of index bundles over the moduli space of BPS solutions. Using an L2 index theorem, we prove the existence of certain BPS states predicted by Seiberg and Witten based on their study of the vacuum structure of N = 2 Yang-Mills theories.

AB - We study the existence of monopole bound states saturating the BPS bound in N = 2 supersymmetric Yang-Mills theories. We describe how the existence of such bound states relates to the topology of index bundles over the moduli space of BPS solutions. Using an L2 index theorem, we prove the existence of certain BPS states predicted by Seiberg and Witten based on their study of the vacuum structure of N = 2 Yang-Mills theories.

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DO - 10.1016/0550-3213(95)00517-X

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JO - Nuclear Physics, Section B

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IS - 3

ER -

Monopole and dyon bound states in N = 2 supersymmetric Yang-Mills theories

Abstract

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