{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":20,"n_cols":5,"rows_kept":20,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[5,2,5,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[10,2,10,3],[13,2,13,3],[14,2,14,3],[17,2,17,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNISA996495169303316"]
[null,null,"Autore",null,"Arai Asao"]
[null,null,"Titolo",null,"Infinite-dimensional Dirac operators and supersymmetric quantum fields : an introduction to analysis on Boson-Fermion Fock spaces / / Asao Arai"]
[null,null,"Pubbl/distr/stampa",null,"Singapore : , : Springer, , [2022]"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"9789811956782"]
[{"$nulls":4},"9789811956775"]
[null,null,"Descrizione fisica",null,"1 online resource (123 pages)"]
[null,null,"Collana",null,"SpringerBriefs in Mathematical Physics ; ; v.46"]
[null,null,"Disciplina",null,"610"]
[null,null,"Soggetti",null,"Quantum field theory"]
[{"$nulls":4},"Teoria quàntica de camps"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes index."]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Contents -- Symbols -- Numbers -- Operational Symbols -- Other Symbols -- 1 Abstract Supersymmetric Quantum Mechanics -- 1.1 Definition and Basic Properties -- 1.2 Reflection Symmetry of the Spectrum of a Self-adjoint Supercharge -- 1.3 Orthogonal Decomposition of State Vectors -- 1.4 Operator Matrix Representations -- 1.5 Construction of SQM -- 1.5.1 Method I -- 1.5.2 Method II -- 1.6 Spectral Supersymmetry -- 1.7 Ground States -- 1.8 Spontaneous Supersymmetry Breaking and an Index Formula -- 2 Elements of the Theory of Fock Spaces -- 2.1 Full Fock Space -- 2.2 Boson Fock Space -- 2.3 Fermion Fock Space -- 2.4 Second Quantization Operators on the Full Fock Space -- 2.5 Boson Second Quantization Operators -- 2.6 Fermion Second Quantization Operators -- 2.7 Infinite Determinants -- 2.8 Boson Creation and Annihilation Operators -- 2.9 Segal Field Operator -- 2.10 Isomorphisms Among Boson Fock Spaces -- 2.11 Fermion Creation and Annihilation Operators -- 2.12 Fermion Quadratic Operators -- 3 Q-space Representation of Boson Fock Space -- 3.1 Gaussian Random Process -- 3.2 Natural Isomorphism of Boson Fock Spaces -- 3.3 Gradient Operator -- 3.4 More General Natural Isomorphisms of Boson Fock Spaces -- 4 Boson-Fermion Fock Spaces  and Abstract Supersymmetric Quantum Field Models -- 4.1 Boson-Fermion Fock Space -- 4.2 Q-"]
[{"$nulls":4},"Space Representation of Boson-Fermion Fock Space -- 4.3 Exterior Differential Operators -- 4.3.1 Definitions and Basic Properties -- 4.3.2 A Cochain Complex -- 4.4 Operators in the Q-space Representation -- 4.5 Hilbert Complex -- 4.5.1 Definitions and Basic Facts -- 4.5.2 Laplace-Beltrami Operators of Finite Order and de Rham-Hodge-Kodaira Decompositions -- 4.5.3 The Dirac and the Laplace-Beltrami Operators Associated With a Hilbert Complex -- 4.5.4 Supersymmetric Structure."]
[{"$nulls":4},"4.6 Hilbert Complexes Associated With Boson-Fermion Fock Space -- 4.7 Laplace-Beltrami Operators on Boson-Fermion Fock Space -- 4.8 Dirac Operators on Boson-Fermion Fock Space -- 4.9 Strong Anti-Commutativity of Dirac Operators -- 4.10 Perturbations of Dirac Operator QS -- 4.10.1 Witten Deformation -- 4.10.2 More General Perturbations -- 4.11 Explicit Form of Supersymmetric Hamiltonian HS(F) -- 4.12 Path Integral Representation of the Index of QS,+(F) -- 4.12.1 Path Integral Representations of Pure Imaginary Time Correlation Functions of Bose Fields -- 4.12.2 Index Formula -- 5 Models in Supersymmetric Quantum Field Theory -- 5.1 Preliminaries -- 5.1.1 Momentum Operator of a Quantum Particle in Tell -- 5.1.2 The Free Quantum Klein-Gordon Field on Mell -- 5.1.3 The Majorana Field on Mell -- 5.2  The N=1 Wess-Zumino Model on Mell -- 5.2.1 The Free Case -- 5.2.2 The Interacting Case -- 5.3 The N=2 Wess-Zumino Model on Mell -- 5.4 Other Models -- Appendix A Self-adjoint Extensions of a Symmetric Operator Matrix -- Appendix B Construction of an Infinite-Dimensional Gaussian Measure on a Path Space -- Appendix  References --  -- Index."]