Superconformal Index on RP2 × S1 and 3D Mirror Symmetry
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- Hardcover
- Taschenbuch ausgewählt
- eBook
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Sprache:Englisch
92,99 €
UVP
106,99 €
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
15.06.2018
Abbildungen
XII, 83 p.
Verlag
Springer SingaporeSeitenzahl
83
Maße (L/B/H)
23,4/15,6/0,5 cm
Gewicht
145 g
Auflage
Softcover reprint of the original 1st ed. 2016
Sprache
Englisch
ISBN
978-981-10-9346-3
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.
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