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# ðŸ“™ Superconformal Index on RP2 Ã— S1 and 3D Mirror Symmetry by Akinori Tanaka (auth.) â€” free download

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The author focuses on a particular quantity called the superconformal index (SCI), which is defined by considering the theories on the product space of two spheres and circles, in order to clarify the validity of so-called three-dimensional mirror symmetry, one of the famous duality proposals. In addition to a review of known results, the author presents a new definition of SCI by considering theories on the product space of real-projective space and circles. In this book, he explains the concept of SCI from the point of view of quantum mechanics and gives localization computations by reducing field theoretical computations to many-body quantum mechanics. He applies his new results of SCI with real-projective space to test three-dimensional mirror symmetry, one of the dualities of quantum field theory. Real-projective space is known to be an unorientable surface like the Mobius strip, and there are many exotic effects resulting from Z_{2} holonomy of the surface. Thanks to these exotic structures, his results provide completely new evidence of three-dimensional mirror symmetry.

- Series:
**Springer Theses** - Author:
**Akinori Tanaka (auth.)** - Year:
**2016** - Publisher:
**Springer Singapore** - Language:
**English** - ISBN:
**978-981-10-1396-6,978-981-10-1398-0**

- File size:
**1 716 015** - Format:
**pdf**

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Proceedings of the 4th KIAS Annual International Conference, held in August 14-18, 2000, Seoul, South Korea. Leading experts in the field explore the more recent developments in relation to homological mirror symmetry, Floer theory, D-branes and Gromov-Wi...

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This book describes a new and original formalism based on mirror symmetries of Lie groups, Lie algebras and Homogeneous spaces. Special systems of mirrors are used for classification purposes and as an instrument for studies of Homogeneous spaces. Tri-sym...

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This book introduces archaeologists to the most important quantitative methods, from the initial description of archaeological data to techniques of multivariate analysis. These are presented in the context of familiar problems in archaeological practice,...

Offers a new and symbolic approach to geometric modelling which addresses the problem of how to build shape-defining parametric functions. Operators include arithmetic operators, vector and matrix operators, and integration, differentiation, constraint so...

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