Hodge Diamonds of the Landau-Ginzburg Orbifolds
Consider the pairs (, ) with = (₁, …, ) being a polynomial defining a quasihomogeneous singularity and being a subgroup of SL(, ℂ), preserving . In particular, is not necessarily abelian. Assume further that contains the grading operator and satisfies the Calabi-Yau condition. We prove that th...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2024 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2024
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212171 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Hodge Diamonds of the Landau-Ginzburg Orbifolds. Alexey Basalaev and Andrei Ionov. SIGMA 20 (2024), 024, 25 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | Consider the pairs (, ) with = (₁, …, ) being a polynomial defining a quasihomogeneous singularity and being a subgroup of SL(, ℂ), preserving . In particular, is not necessarily abelian. Assume further that contains the grading operator and satisfies the Calabi-Yau condition. We prove that the nonvanishing bigraded pieces of the B-model state space of (, ) form a diamond. We identify its topmost, bottommost, leftmost, and rightmost entries as one-dimensional and show that this diamond enjoys the essential horizontal and vertical isomorphisms.
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| ISSN: | 1815-0659 |