Non-Commutative Geometry: A Perspective on String and Field Theories
(A systematic and comprehensive account of developments in...)
A systematic and comprehensive account of developments in non-commutative geometry, at a pedagogical level. It does not go into the details of rigorous (advanced level) mathematical formulation of non-commutative geometry; rather, it restricts itself to the domain of strings and quantum fields. Since non-commutative geometry has aroused revived interest in open string theory, the author motivates the text from the viewpoint of a string theory. He begins with an introduction to the subject, explaining what one means by non-commutative geometry and why it is relevant to study such geometry, and discussing its possible origin in a string theory. The text comprises five chapters. Chapter 1 gives a mathematical introduction. In Chapter 2, non-commutativity in an open bosonic string theory is discussed with explicit calculations. Chapter 3 deals with non-commutative quantum fields, their dynamics and some of their interactions. In Chapter 4, some of the classical solutions of non-commutative string and field theories are discussed. Chapter 5 treats some applications of non-commutative theory. Students should find this book useful as a bridge between string and field theories. It should also prove useful for interdisciplinary areas of study.
Supriya Kar, Indian research scientist, educator. Avocations: cyber games, science fiction, reading, music, traveling E-mail: supriya. Recipient fellowship, Japan Society for Promotion of Science, 1996-1998, FNR fellowship, Swedish Natural Science Research Council, since 1998.
Kar, Supriya was born on 05 August 1967 in ADRA, West Bengal, India.
Bachelor of Science with honors, F.M. College, Balasore, India, 1987; Master of Science in Physics, Utkal University, Bhubaneswar, India, 1990; Doctor of Philosophy, Institute Physics, Bhubaneswar, India, 1995.
Postdoctoral fellow Harish-Chandra Institute Research, Allahabad, India, 1995-1996. Japan Society for the Promotion of Science postdoctoral fellow Tokyo University, 1996-1998. Post doctoral fellow Chalmers University of Technology, Goteborg, Sweden, 1998-2000.
Visiting assistant professor Institute of Information Technologies, Kanpur, India, 2001—2002. Lecturer Delhi University, since 2002.