Ideas and Methods of Supersymmetry and Supergravity, Or a Walk Through Superspace
This book provides a comprehensive, detailed and self-contained account of four dimensional simple supersymmetry and supergravity. It will be an indispensable source of reference for advanced graduate students, postdoctoral and faculty researchers alike working in quantum field theory, high energy physics, gravity theory, mathematical physics and applied mathematics.
The authors develop the subject in its superfield formulation but where appropriate for illustration, analogy and comparison with conventional field theory, they use the component formulation.
Throughout the book the authors develop their material in detail with calculation and full discussions of the fundamental ideas and motivations. They discuss many subjects which until now could only be found in the research literature. In addition they present a plethora of new results. The result is the most comprehensive book yet produced on the fundamentals of supersymmetry and supergravity. After studying this book readers should be well prepared to pursue independent research in any area of supersymmetry and supergravity.
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Supersymmetry and Superspace
Field Theory in Superspace
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accordance with equation action superfunctional antichiral arbitrary bosonic c-number c-type chiral scalar superfield chiral superfield coincides commutation component fields conformal Killing consider constraints coordinate transformation corresponding counterterms covariant derivatives covariantly chiral scalar curved superspace defined denoted described dynamical equations effective action Einstein supergravity equivalent expression fermionic Feynman field theory follows gauge group gauge invariant gauge transformations holomorphic identities integral introduce irreducible Killing supervectors Lie algebra Lie group linear operator Lorentz group Lorentz transformations massless metric Minkowski space multiplet non-minimal obtains on-shell one-loop parameters Poincare group Poincare invariant Poincare superalgebra prepotentials quantum real scalar superfield relations respect result space-time subsection subspace super Lie algebra super Poincare group super Weyl transformations superalgebra superconformal supergeometry supergraph supergravity supergravity action supergroup supermatrix supernumbers superspace superspin supersymmetric supersymmetry transformations supertorsion supertrace supervector field supervector space symmetric tensor superfield transformation law undotted variables vierbein Wess-Zumino gauge Wess-Zumino model Weyl transformations