An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry

Description: An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry by Ilarion V. Melnikov Estimated delivery 3-12 business days Format Paperback Condition Brand New Description In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Publisher Description This book introduces two-dimensional supersymmetric field theories with emphasis on both linear and non-linear sigma models. Complex differential geometry, in connection with supersymmetry, has played a key role in most developments of the last thirty years in quantum field theory and string theory. Both structures introduce a great deal of rigidity compared to the more general categories of non-supersymmetric theories and real differential geometry, allowing for many general conceptual results and detailed quantitative predictions. Two-dimensional (0,2) supersymmetric quantum field theories provide a natural arena for the fruitful interplay between geometry and quantum field theory. These theories play an important role in string theory and provide generalizations, still to be explored fully, of rich structures such as mirror symmetry. They also have applications to non-perturbative four-dimensional physics, for instance as descriptions of surface defects or low energy dynamics of solitonic strings in four-dimensional supersymmetric theories. The purpose of these lecture notes is to acquaint the reader with these fascinating theories, assuming a background in conformal theory, quantum field theory and differential geometry at the beginning graduate level. In order to investigate the profound relations between structures from complex geometry and field theory the text begins with a thorough examination of the basic structures of (0,2) quantum field theory and conformal field theory. Next, a simple class of Lagrangian theories, the (0,2) Landau-Ginzburg models, are discussed, together with the resulting renormalization group flows, dynamics, and symmetries. After a thorough introduction and examination of (0,2) non-linear sigma models, the text introduces linear sigma models that, in particular, provide a unified treatment of non-linear sigma models and Landau-Ginzburg theories. Many exercises, along with discussions of relevant mathematical notions and important open problems in the field, are included in the text. Author Biography Ilarion Melnikov is an assistant professor in the Department of Physics and Astronomy at James Madison University. His research is in mathematical physics, and his main interests are in quantum field theory and string theory. His recent work has focused on two-dimensional conformal field theory in its relation to geometry and the landscape of heterotic string vacua. Prof. Melnikov studied at Cornell and at Duke and has been a postdoc at the Enrico Fermi Institute at the University of Chicago, at the Max Planck Institute for Gravitational Physics (the Albert Einstein Institute), the Mitchell Institute for Fundamental Physics and Astronomy at Texas A&M, and most recently in the Department of Mathematics at Harvard. Details ISBN 3030050831 ISBN-13 9783030050832 Title An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry Author Ilarion V. Melnikov Format Paperback Year 2019 Pages 482 Edition 1st Publisher Springer Nature Switzerland AG GE_Item_ID:137610800; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys

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