Developments of theory of effective prepotential from extended Seiberg–Witten system and matrix models
This is a semi-pedagogical review of a medium size on the exact determination of and the role played by the low energy effective prepotential ${\mathcal {F}}$ in quantum field theory with (broken) extended supersymmetry, which began with the work of Seiberg and Witten in 1994. While paying attention...
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| Published in | Progress of theoretical and experimental physics Vol. 2015; no. 11; p. 11 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Oxford University Press
01.11.2015
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| Subjects | |
| Online Access | Get full text |
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| Summary: | This is a semi-pedagogical review of a medium size on the exact determination of
and the role played by the low energy effective prepotential
${\mathcal
{F}}$ in quantum field theory with (broken)
extended supersymmetry, which began with the work of Seiberg and Witten in 1994.
While paying attention to an overall view of the over two decades of development
of this subject, we probe several corners marked in the three major stages of
the developments, emphasizing uses of the deformation theory on the attendant
Riemann surface as well as its close relation to matrix models. Examples picked
here in different contexts tell us that the effective prepotential is to be
identified as the suitably defined free energy $F$ of a
matrix model: ${\mathcal {F}} = F$. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 2050-3911 2050-3911 |
| DOI: | 10.1093/ptep/ptv124 |