SU(2)-monopoles, curves with symmetries and Ramanujan's heritage

H. W. Braden; V. Z. Enolski

doi:10.1070/SM2010v201n06ABEH004093

SU(2)-monopoles, curves with symmetries and Ramanujan's heritage

H. W. Braden, V. Z. Enolski

School of Mathematics

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

Abstract / Description of output

We develop the Ercolani-Sinha construction of SU(2) monopoles for a five-parameter family of centred charge 3 monopoles. In particular we show how to solve the transcendental constraints arising on the spectral curve. For a class of symmetric curves the transcendental constraints become a number-theoretic problem and a recently proven identity of Ramanujan provides a solution.

Original language	English
Pages (from-to)	801-853
Number of pages	53
Journal	Sbornik: Mathematics
Volume	201
Issue number	6
DOIs	https://doi.org/10.1070/SM2010v201n06ABEH004093
Publication status	Published - 2010

Keywords / Materials (for Non-textual outputs)

non-Abelian monopole
Ramanujan's hypergeometric identities
algebraic curves with automorphisms
MONOPOLES

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10.1070/SM2010v201n06ABEH004093

Cite this

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title = "SU(2)-monopoles, curves with symmetries and Ramanujan's heritage",

abstract = "We develop the Ercolani-Sinha construction of SU(2) monopoles for a five-parameter family of centred charge 3 monopoles. In particular we show how to solve the transcendental constraints arising on the spectral curve. For a class of symmetric curves the transcendental constraints become a number-theoretic problem and a recently proven identity of Ramanujan provides a solution.",

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AU - Braden, H. W.

AU - Enolski, V. Z.

PY - 2010

Y1 - 2010

N2 - We develop the Ercolani-Sinha construction of SU(2) monopoles for a five-parameter family of centred charge 3 monopoles. In particular we show how to solve the transcendental constraints arising on the spectral curve. For a class of symmetric curves the transcendental constraints become a number-theoretic problem and a recently proven identity of Ramanujan provides a solution.

AB - We develop the Ercolani-Sinha construction of SU(2) monopoles for a five-parameter family of centred charge 3 monopoles. In particular we show how to solve the transcendental constraints arising on the spectral curve. For a class of symmetric curves the transcendental constraints become a number-theoretic problem and a recently proven identity of Ramanujan provides a solution.

KW - non-Abelian monopole

KW - Ramanujan's hypergeometric identities

KW - algebraic curves with automorphisms

KW - MONOPOLES

U2 - 10.1070/SM2010v201n06ABEH004093

DO - 10.1070/SM2010v201n06ABEH004093

M3 - Article

SN - 1064-5616

VL - 201

SP - 801

EP - 853

JO - Sbornik: Mathematics

JF - Sbornik: Mathematics

IS - 6

ER -

SU(2)-monopoles, curves with symmetries and Ramanujan's heritage

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

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