DMCA. Copyrighted Work that you can Claim.
Base have 213 078 books.
Search: 


📙 Superconformal Index on RP2 × S1 and 3D Mirror Symmetry by Akinori Tanaka (auth.) — free download


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.



About book:

About file:

  • File size: 1 716 015
  • Format: pdf


Security code:
Download button

Similar books results


Mirror Symmetry (Clay Mathematics Monographs, V. 1)
Mirror Symmetry (Clay Mathematics Monographs, V. 1) free pdf by Kentaro Hori

This thorough and detailed exposition is the result of an intensive month-long course sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives. The material will be particularly useful for t...

Symplectic Geometry & Mirror Symmetry
Symplectic Geometry & Mirror Symmetry free download by Y.G. Oh, K. Fukaya, Y-G Oh, K. Ono, G. Tian

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...

Symplectic Geometry and Mirror Symmetry,: Proceedings of the 4th KIAS Annual International Conference
Symplectic Geometry and Mirror Symmetry,: Proceedings of the 4th KIAS Annual International Conference free pdf by Y.G. Oh, K. Fukaya, Y-G Oh, K. Ono, G. Tian

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...

Visual Symmetry
Visual Symmetry epub download by Magdolna Hargittai, István Hargittai

Symmetry is as simple or as complicated as we are ready to absorb it in everything around us. From flowers to bridges, buildings, coke machines, and snowflakes from molecules to walnuts, fences, pine cones, and sunflowers from music to childrens drawings ...

Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces
Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces epub download by Lev V. Sabinin

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...

Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001
Calabi-Yau Manifolds and Related Geometries: Lectures at a Summer School in Nordfjordeid, Norway, June 2001 free download by Gross M., Huybrechts D., Joyce D.

This book is an expanded version of lectures given at a summer school on symplectic geometry in Nordfjordeid, Norway, in June 2001. The unifying feature of the book is an emphasis on Calabi-Yau manifolds. The first part discusses holonomy groups and calib...

AutoCAD2008 3D Modeling Workbook For Dummies
AutoCAD2008 3D Modeling Workbook For Dummies epub download by Lee Ambrosius

# AutoCAD 2007 features a new 3D rendering engine that greatly enhances the program's 3D functionality-and makes this industry-standard drafting program even more difficult to master, even for veteran users# This focused For Dummies workbook gives people ...

Riemannian Holonomy Groups and Calibrated Geometry
Riemannian Holonomy Groups and Calibrated Geometry epub download by Dominic D. Joyce

This graduate level text covers an exciting and active area of research at the crossroads of several different fields in mathematics and physics. In mathematics it involves Differential Geometry, Complex Algebraic Geometry, Symplectic Geometry, and in phy...

Foundation 3ds Max 8 Architectural Visualization
Foundation 3ds Max 8 Architectural Visualization epub download by Brian L. Smith

In this book you'll learn: How to model an architectural scene and create stunning materials that breathe life into your projects How to use real-world photometric lights and global illumination to achieve photorealism Efficient project wo...

The Antigens. Volume VII

A Century of Controversy. Ethnological Issues from 1860 to 1960
A Century of Controversy. Ethnological Issues from 1860 to 1960 free epub by Elman R Service and E. A. Hammel (Auth.)

This book is an assessment of the history of ethnology in terms of its intellectual progress, as such, rather than the life histories of the various personalities involve. The title was chosen to suggest that the major concern is the clash, mix, syntheses...

Incest
Incest free download by Joseph Shepher (Auth.)

Quantifying Archaeology
Quantifying Archaeology free epub by Stephen Shennan (Auth.)

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,...

Regional Analysis. Economic Systems

Generative Modeling for Computer Graphics and CAD. Symbolic Shape Design Using Interval Analysis
Generative Modeling for Computer Graphics and CAD. Symbolic Shape Design Using Interval Analysis epub download by John M. Snyder (Auth.)

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...

The Joints and Synovial Fluid. Volume II

Mathematical Algorithms for Linear Regression
Mathematical Algorithms for Linear Regression free download by Helmuth Späth and Werner Rheinboldt (Auth.)

This volume presents an overview of numerical methods for linear regression, including FORTRAN subroutines. Linear regression has useful applications in business, statistics and engineering and this work covers all three important cases where p=1,2 and in...

General Equilibrium Models of Monetary Economies. Studies in the Static Foundations of Monetary Theory

Bootstrap for Rails: A quick-start guide to developing beautiful web applications with the Bootstrap toolkit and Rails framework
Bootstrap for Rails: A quick-start guide to developing beautiful web applications with the Bootstrap toolkit and Rails framework download pdf by Syed Fazle Rahman

Bootstrap is a free, open source CSS and JS framework that helps you create websites in minutes, and Ruby on Rails, or Rails as it's known, is an open source web application framework written in the Ruby programming language. Bootstrap is typically used i...