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Superconformal Index on RP2 x S1 and 3D Mirror Symmetry - 9789811013966

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Superconformal Index on RP2 x S1 and 3D Mirror Symmetry
ISBN
9789811013966
Publication Year
2016
Type
Textbook
Format
Hardcover
Language
English
Publication Name
Superconformal Index on Rp2 X S1 and 3d Mirror Symmetry
Item Height
235mm
Author
Akinori Tanaka
Publisher
Springer Verlag, Singapore
Item Width
155mm
Subject
Mathematics, Physics
Item Weight
331g
Number of Pages
83 Pages

About this product

Product Information

The author introduces the supersymmetric localization technique, a new approach for computing path integrals in quantum field theory on curved space (time) defined with interacting Lagrangian. 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 Z2 holonomy of the surface. Thanks to these exotic structures, his results provide completely new evidence of three-dimensional mirror symmetry. The equivalence expected from three-dimensional mirror symmetry is transformed into a conjectural non-trivial mathematical identity through the new SCI, and he performs the proof of the identity using a q-binomial formula.

Product Identifiers

Publisher
Springer Verlag, Singapore
ISBN-13
9789811013966
eBay Product ID (ePID)
223942465

Product Key Features

Author
Akinori Tanaka
Publication Name
Superconformal Index on Rp2 X S1 and 3d Mirror Symmetry
Format
Hardcover
Language
English
Subject
Mathematics, Physics
Publication Year
2016
Type
Textbook
Number of Pages
83 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
331g

Additional Product Features

Title_Author
Akinori Tanaka
Series Title
Springer Theses
Country/Region of Manufacture
Singapore

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