Weyl equation and (non)-commutative SU(n + 1) BPS monopoles

Anastasia Doikou; Theodora Ioannidou

doi:10.1007/JHEP08(2010)105

Weyl equation and (non)-commutative SU(n + 1) BPS monopoles

Anastasia Doikou, Theodora Ioannidou

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

3 Citations (Scopus)

Abstract

We apply the ADHMN construction to obtain the SU(n+1)(for generic values of n) spherically symmetric BPS monopoles with minimal symmetry breaking. In particular, the problem simplifies by solving the Weyl equation, leading to a set of coupled equations, whose solutions are expressed in terms of the Whittaker functions. Next, this construction is generalized for non-commutative SU(n+1) BPS monopoles, where the corresponding solutions are given in terms of the Heun B functions.

Original language	English
Journal	Journal of High Energy Physics
Volume	2010
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2010)105
Publication status	Published - Aug 2010

Keywords

hep-th
math-ph
math.MP
nlin.SI

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10.1007/JHEP08(2010)105

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title = "Weyl equation and (non)-commutative SU(n + 1) BPS monopoles",

abstract = "We apply the ADHMN construction to obtain the SU(n+1)(for generic values of n) spherically symmetric BPS monopoles with minimal symmetry breaking. In particular, the problem simplifies by solving the Weyl equation, leading to a set of coupled equations, whose solutions are expressed in terms of the Whittaker functions. Next, this construction is generalized for non-commutative SU(n+1) BPS monopoles, where the corresponding solutions are given in terms of the Heun B functions.",

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author = "Anastasia Doikou and Theodora Ioannidou",

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AU - Doikou, Anastasia

AU - Ioannidou, Theodora

N1 - 16 pages, Latex. Few typos corrected, version to appear in JHEP

PY - 2010/8

Y1 - 2010/8

N2 - We apply the ADHMN construction to obtain the SU(n+1)(for generic values of n) spherically symmetric BPS monopoles with minimal symmetry breaking. In particular, the problem simplifies by solving the Weyl equation, leading to a set of coupled equations, whose solutions are expressed in terms of the Whittaker functions. Next, this construction is generalized for non-commutative SU(n+1) BPS monopoles, where the corresponding solutions are given in terms of the Heun B functions.

AB - We apply the ADHMN construction to obtain the SU(n+1)(for generic values of n) spherically symmetric BPS monopoles with minimal symmetry breaking. In particular, the problem simplifies by solving the Weyl equation, leading to a set of coupled equations, whose solutions are expressed in terms of the Whittaker functions. Next, this construction is generalized for non-commutative SU(n+1) BPS monopoles, where the corresponding solutions are given in terms of the Heun B functions.

KW - hep-th

KW - math-ph

KW - math.MP

KW - nlin.SI

U2 - 10.1007/JHEP08(2010)105

DO - 10.1007/JHEP08(2010)105

M3 - Article

SN - 1126-6708

VL - 2010

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

ER -

Weyl equation and (non)-commutative SU(n + 1) BPS monopoles

Abstract

Keywords

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