Instanton Counting, Quantum Geometry and Algebra

Name: Instanton Counting, Quantum Geometry and Algebra
Brand: Springer Nature
SKU: 9783030761905
Availability: InStock

Instanton Counting, Quantum Geometry and Algebra

Brand

Springer Nature

Manufacturer

N/A

Part Number

GTIN

9783030761905

Condition

New

0 Reviews

0 Questions | 0 Answers

Product Description

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept is the instanton, which is a solution to the anti-self-dual YangMills equation in four dimensions. In the first part of the book, starting with the systematic description of the instanton, how to integrate out the instanton moduli space is explained together with the equivariant localization formula. It is then illustrated that this formalism is generalized to various situations, including quiver and fractional quiver gauge theory, supergroup gauge theory. The second part of the book is devoted to the algebraic geometric description of supersymmetric gauge theory, known as the SeibergWitten theory, together with string/M-theory point of view. Based on its relation to integrable systems, how to quantize such a geometric structure via the -deformation of gauge theory is addressed. The third part of the book focuses on the quantum algebraic structure of supersymmetric gauge theory. After introducing the free field realization of gauge theory, the underlying infinite dimensional algebraic structure is discussed with emphasis on the connection with representation theory of quiver, which leads to the notion of quiver W-algebra. It is then clarified that such a gauge theory construction of the algebra naturally gives rise to further affinization and elliptic deformation of W-algebra.

Available Colors

N/A

Available Sizes

N/A

1 Offer Price Range: $119.00 - $119.00

BEST PRICE

Single Product Purchase

$107.10

@ Link.springer.com with extra coupon Get Coupon & BUY

Price Comparison

Seller	Contact Seller	List Price	On Sale	Shipping	Best Promo	Final Price	Volume Discount	Financing	Availability	Seller's Page
BEST PRICE 1 Product Purchase @ Link.springer.com Rate Seller This functionality is for registered users only. Go to Login/Register		$119.00	$119.00		10% OFF This deals requires coupon Get Code Here your10off @ Link.springer.com Deals Ends 31/08/2025	$107.10		See Site	In stock	Visit Store