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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Non-Semisimple TQFT's and BPS $q$-Series
Francesco Costantinoa, S. G. Gukovb, Pavel Putrovc a Institut de Mathématiques de Toulouse, 118 route de Narbonne, F-31062 Toulouse, France
b Walter Burke Institute for Theoretical Physics, California Institute of Technology,
Pasadena, CA 91125, USA
c The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11,
Trieste 34151, Italy
Аннотация:
We propose and in some cases prove a precise relation between $3$-manifold invariants associated with quantum groups at roots of unity and at generic $q$. Both types of invariants are labeled by extra data which plays an important role in the proposed relation. Bridging the two sides – which until recently were developed independently, using very different methods – opens many new avenues. In one direction, it allows to study (and perhaps even to formulate) $q$-series invariants labeled by spin$^c$ structures in terms of non-semisimple invariants. In the opposite direction, it offers new insights and perspectives on various elements of non-semisimple TQFT's, bringing the latter into one unifying framework with other invariants of knots and $3$-manifolds that recently found realization in quantum field theory and in string theory.
Ключевые слова:
$3$-manifold invariants, knot invariants, TQFT.
Поступила: 21 января 2022 г.; в окончательном варианте 10 февраля 2023 г.; опубликована 15 марта 2023 г.
Образец цитирования:
Francesco Costantino, S. G. Gukov, Pavel Putrov, “Non-Semisimple TQFT's and BPS $q$-Series”, SIGMA, 19 (2023), 010, 71 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1905 https://www.mathnet.ru/rus/sigma/v19/p10
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