Note on a duality of topological branes - INSPIRE

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Note on a duality of topological branes

Taro Kimura
(
- Nishina Ctr., RIKEN and
- IPhT, Saclay
)

Jan 5, 2014

15 pages

Published in:

PTEP 2014 (2014) 10, 103B04

Published: Oct 16, 2014

e-Print:

1401.0956 [hep-th]

DOI:

10.1093/ptep/ptu141

Report number:

IPHT-T13-285,
RIKEN-MP-82

View in:

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Abstract: (Oxford University Press)

We show a duality of branes in the topological B-model by inserting two kinds of non-compact branes simultaneously. We explicitly derive the integral formula for the matrix model partition function describing this situation, which correspondingly includes both the characteristic polynomial and the external source. We show that these two descriptions are dual to each other through the Fourier transformation, and the brane partition function satisfies integrable equations in one and two dimensions.

Note:

1+18 pages, 2 figures; title changed, references added; minor corrections

M theory, matrix theory
Topological field theory
Matrix models
Theoretical Particle Physics
dimension: 2
string: topological
membrane model
partition function
Fourier transformation
integrability

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