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" Lectures on fuzzy and fuzzy SUSY physics / "
A.P. Balachandran, S. Kürkçüoğlu, S. Vaidya.
Document Type
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BL
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Record Number
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1007839
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Doc. No
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b762209
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Main Entry
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Balachandran, A. P.,1938-
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Title & Author
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Lectures on fuzzy and fuzzy SUSY physics /\ A.P. Balachandran, S. Kürkçüoğlu, S. Vaidya.
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Publication Statement
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Singapore ;Hackensack, NJ :: World Scientific,, 2007.
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Page. NO
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1 online resource (xiii, 181 pages)
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ISBN
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128112138X
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: 9781281121387
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: 9789812707468
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: 9812707468
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9789812704665
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9812704663
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Bibliographies/Indexes
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Includes bibliographical references (pages 169-178) and index.
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Contents
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Introduction -- Fuzzy spaces -- Star products -- Scalar fields on the Fuzzy sphere -- Instantons, monopoles and projective modules -- Fuzzy nonlinear sigma models -- Fuzzy nonlinear sigma models -- The Dirac operator and axial anomaly -- Fuzzy supersymmetry -- SUSY anomalies on the Fuzzy spersphere -- Fuzzy spaces as Hopf algebras.
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Abstract
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Noncommutative geometry provides a powerful tool for regularizing quantum field theories in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermion-doubling problem and represents topological features efficiently. These lecture notes provide a comprehensive introduction to the field. Starting with the construction of fuzzy spaces, using the concrete examples of the fuzzy sphere and fuzzy complex projective spaces, the book moves on to discuss the technology of star products on noncommutative R2d and on the fuzzy sphere. Scalar, spinor and gauge field theories as well as e.
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Subject
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Fuzzy systems.
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Subject
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Noncommutative differential geometry.
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Subject
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Supersymmetry-- Mathematics.
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Subject
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Fuzzy systems.
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Subject
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Noncommutative differential geometry.
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Subject
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SCIENCE-- Physics-- Mathematical Computational.
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Dewey Classification
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530.15
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LC Classification
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QC20.7.D52B35 2007eb
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Added Entry
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Kürkçüoğlu, S., (Seckin)
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Vaidya, S., (Sachindeo)
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