Details
| Original language | English |
|---|---|
| Article number | 104617 |
| Journal | Journal of geometry and physics |
| Volume | 179 |
| Early online date | 8 Jul 2022 |
| Publication status | Published - Sept 2022 |
Abstract
We consider the Berglund–Hübsch–Henningson–Takahashi duality of Landau–Ginzburg orbifolds with a symmetry group generated by some diagonal symmetries and some permutations of variables. We study the orbifold Euler characteristics, the orbifold monodromy zeta functions and the orbifold E-functions of such dual pairs. We conjecture that we get a mirror symmetry between these invariants even on each level, where we call level the conjugacy class of a permutation. We support this conjecture by giving partial results for each of these invariants.
Keywords
- Dual pairs, E-function, Group action, Invertible polynomial, Orbifold Euler characteristic, Orbifold monodromy zeta function
ASJC Scopus subject areas
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
- Mathematics(all)
- Geometry and Topology
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In: Journal of geometry and physics, Vol. 179, 104617, 09.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Mirror symmetry on levels of non-abelian Landau–Ginzburg orbifolds
AU - Ebeling, Wolfgang
AU - Gusein-Zade, Sabir M.
N1 - Funding Information: This work is supported by the Netherlands' Organization for Scientific Research (NWO). This work has been partially supported by DFG. The work of the second author (Sections 1, 3, 5, 7) was supported by the grant 21-11-00080 of the Russian Science Foundation. We would like to thank the referee for carefully reading our paper and for their useful comments which helped to improve the paper.
PY - 2022/9
Y1 - 2022/9
N2 - We consider the Berglund–Hübsch–Henningson–Takahashi duality of Landau–Ginzburg orbifolds with a symmetry group generated by some diagonal symmetries and some permutations of variables. We study the orbifold Euler characteristics, the orbifold monodromy zeta functions and the orbifold E-functions of such dual pairs. We conjecture that we get a mirror symmetry between these invariants even on each level, where we call level the conjugacy class of a permutation. We support this conjecture by giving partial results for each of these invariants.
AB - We consider the Berglund–Hübsch–Henningson–Takahashi duality of Landau–Ginzburg orbifolds with a symmetry group generated by some diagonal symmetries and some permutations of variables. We study the orbifold Euler characteristics, the orbifold monodromy zeta functions and the orbifold E-functions of such dual pairs. We conjecture that we get a mirror symmetry between these invariants even on each level, where we call level the conjugacy class of a permutation. We support this conjecture by giving partial results for each of these invariants.
KW - Dual pairs
KW - E-function
KW - Group action
KW - Invertible polynomial
KW - Orbifold Euler characteristic
KW - Orbifold monodromy zeta function
UR - http://www.scopus.com/inward/record.url?scp=85134197057&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2204.02069
DO - 10.48550/arXiv.2204.02069
M3 - Article
AN - SCOPUS:85134197057
VL - 179
JO - Journal of geometry and physics
JF - Journal of geometry and physics
SN - 0393-0440
M1 - 104617
ER -