Refined stable pair invariants for E-, M- and $[p, q]$-strings - INSPIRE

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Refined stable pair invariants for E-, M- and $[p, q]$ -strings

Min-Xin Huang
(
- Hefei, CUST
)
,
Albrecht Klemm
(
- Bonn U. and
- Bonn U., Math. Inst.
)
,
Maximilian Poretschkin
(
- Bonn U.
)

Aug 2, 2013

118 pages

Published in:

JHEP 11 (2013) 112

Published: 2013

e-Print:

1308.0619 [hep-th]

DOI:

10.1007/JHEP11(2013)112

Report number:

USTC-ICTS-13-10,
BONN-TH-2013-10

View in:

ADS Abstract Service

reference search131 citations

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Abstract: (arXiv)

We use mirror symmetry, the refined holomorphic anomaly equation and modularity properties of elliptic singularities to calculate the refined BPS invariants of stable pairs on non-compact Calabi-Yau manifolds, based on del Pezzo surfaces and elliptic surfaces, in particular the half K3. The BPS numbers contribute naturally to the five-dimensional N=1 supersymmetric index of M-theory, but they can be also interpreted in terms of the superconformal index in six dimensions and upon dimensional reduction the generating functions count N=2 Seiberg-Witten gauge theory instantons in four dimensions. Using the M/F-theory uplift the additional information encoded in the spin content can be used in an essential way to obtain information about BPS states in physical systems associated to small instantons, tensionless strings, gauge symmetry enhancement in F-theory by [p,q]-strings as well as M-strings.

Note:

120 pages, 21 figures

Differential and Algebraic Geometry
Topological Strings
M-Theory
gauge field theory: instanton
symmetry: enhancement
surface: del Pezzo
space: Calabi-Yau
symmetry: mirror
supersymmetry: 1
symmetry: gauge

References(115)

Figures(22)

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