Supersymmetric integrable hierarchies and string theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Bonn
Univ. Bonn, Physikalisches Inst.
1994
|
| Schriftenreihe: | Physikalisches Institut <Bonn>: Universität Bonn, Physikalisches Institut / IR
1994,7 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Bonn, Univ., Diss., 1994 |
| Beschreibung: | 115 S. Ill. |
Internformat
MARC
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| 100 | 1 | |a Stanciu, Sonia |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Supersymmetric integrable hierarchies and string theory |c von Sonia Stanciu |
| 264 | 1 | |a Bonn |b Univ. Bonn, Physikalisches Inst. |c 1994 | |
| 300 | |a 115 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Physikalisches Institut <Bonn>: Universität Bonn, Physikalisches Institut / IR |v 1994,7 | |
| 500 | |a Zugl.: Bonn, Univ., Diss., 1994 | ||
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006526062 | |
Datensatz im Suchindex
| _version_ | 1808046795660460032 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
1
I
NTRODUCTION
AND
M
OTIVATION
.
1
1.
A
BRIEF
HISTORY
OF
THE
KDV
EQUATION
.
1
THE
FIRST
SOLITON
.
1
THE
KDV
EQUATION
.
.
2
EARLY
EVIDENCE
FOR
INTEGRABILITY
.
2
THE
MIURA
TRANSFORMATION
.
.
.
4
THE
KDV
EQUATION
AS
A
HAMILTONIAN
SYSTEM
.
5
THE
HIROTA
EQUATION
.
6
2.
THE
LAX
FORMALISM
.
7
LAX
'
S
OBSERVATION
7
THE
ADLER-GEL
'
FAND-DICKEY
SCHEME
.
8
3.
SOME
IMPORTANT
GENERALIZATIONS
.
10
THE
KP
HIERARCHY
.
10
A
SUPERSYMMETRIC
KDV
EQUATION
.
11
4.
INTEGRABLE
HIERARCHIES
IN
STRING
THEORY
.
12
2
H
AMILTONIAN
D
YNAMICS
AND
I
NTEGRABILITY
.
15
1.
DYNAMICAL
SYSTEMS
ON
POISSON
MANIFOLDS
.
.
15
2.
INTEGRABILITY
AND
DYHAMICAL
HIERARCHIES
.
19
3.
HAMILTONIAN
REDUCTION
.
.
21
3
L
AX
F
ORMALISM
AND
THE
KP
HIERARCHY
.
27
1.
CALCULUS
IN
THE
SPACE
OF
LAX
OPERATORS
.
27
FUNCTIONS
.
27
VECTOR
FIELDS
.
28
2.
ONE-FORMS
AND
PSEUDODIFFERENTIAL
OPERATORS
.
29
FORMAL
PSEUDODIFFERENTIAL
OPERATORS
.
29
GRADIENTS
AND
ONE-FORMS
.
.
.
.
31
TABLE
OF
CONTENTS
THE
ADLER
MAP
AND
GEL
'
FAND-DICKEY
BRACKETS
.
31
3.
GENERALIZED
KDV
HIERARCHIES
.
34
ISOSPECTRAL
FLOWS
OF
LAX
TYPE
.
35
FRACTIONAL
POWERS
AND
THE
COMMUTANT
.
36
FLOWS
AND
CONSERVED
CHARGES
.
38
BIHAMILTONIAN
STRUCTURE
.
39
4.
THE
KP
HIERARCHY:
A
UNIVERSAL
KDV
HIERARCHY
.
40
LAX
FLOWS
AND
CONSERVED
CHARGES
.
41
REDUCTION
TO
THE
N-KDV
HIERARCHY
.
42
DRESSING
TRANSFORMATIONS
.
43
4
S
UPERSYMMETRIC
I
NTEGRABLE
H
IERARCHIES
.
44
1.
SUPERSYMMETRIC
LAX
FORMALISM
.
44
PSEUDODIFFERENTIAL
OPERATORS
IN
SUPERSPACE
.
44
GEOMETRY
OF
THE
SPACE
OF
LAX
OPERATORS
.
47
2.
THE
HAMILTONIAN
PROPERTY
OF
THE
ALGEBRAIC
ADLER
MAP
.
50
3.
SUPERSYMMETRIC
HIERARCHIES
OF
THE
KP
TYPE
.
58
THE
MRSKP
HIERARCHY
.
59
THE
SKP2
HIERARCHY
.
61
THE
JSKP
HIERARCHY
.
63
5
A
DDITIONAL
S
YMMETRIES
.
66
1.
ADDITIONAL
SYMMETRIES
OF
THE
KP
HIERARCHY
.
67
THE
RADUL
MAP
.
67
ADDITIONAL
SYMMETRIES
.
69
2.
ADDITIONAL
SYMMETRIES
OF
SKP
HIERARCHIES
.
71
THE
SUPERSYMMETRIC
RADUL
MAP
.
71
THE
MRSKP
HIERARCHY
.
74
THE
SKP2
HIERARCHY
.
78
THE
JSKP
HIERARCHY
.
80
6
R
EDUCTIONS
OF
SKP
H
IERARCHIES
.
83
IV
TBBLE
OF
CONTENTS
1.
DRESSABILITY
AND
ODD
FLOWS
FOR
SKP2
.
84
2.
THE
SYMMETRIC
REDUCTION
.
86
3.
THE
BSKP2
HIERARCHY
.
88
HAMILTONIAN
STRUCTURE
.
90
7
S
UPERSYMMETRIC
H
IERARCHIES
IN
S
TRING
T
HEORY
.
93
1.
THE
KDV
HIERARCHY
AND
THE
ONE-MATRIX
MODEL
.
93
ORTHOGONAL
POLYNOMIALS
AND
THE
KDV
HIERARCHY
.
95
2.
INTEGRABLE
HIERARCHIES
IN
SUPERMATRIX
MODELS
.
97
SUPERSYMMETRIC
'
MATRIX
'
MODELS
.
97
THE
SKDV-B
HIERARCHY
.
99
BIHAMILTONIAN
STRUCTURE
AND
INTEGRABILITY
.
101
SKDV-B
AS
A
REDUCTION
OF
SKP-TYPE
HIERARCHIES
.
103
SOME
REMARKS
ON
ODD
FLOWS
.
103
3.
NEW
SUPERSYMMETRIC
KDV
HIERARCHIES
.
.
.
.
105
B
IBLIOGRAPHY
.
107
ZUSAMMENFASSUNG
.
112
L
EBENSLAUF
.
115
V |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV009857632 |
| illustrated | Illustrated |
| indexdate | 2024-08-22T00:49:50Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006526062 |
| oclc_num | 75585790 |
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| owner | DE-12 |
| owner_facet | DE-12 |
| physical | 115 S. Ill. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Univ. Bonn, Physikalisches Inst. |
| record_format | marc |
| series2 | Physikalisches Institut <Bonn>: Universität Bonn, Physikalisches Institut / IR |
| spelling | Stanciu, Sonia Verfasser aut Supersymmetric integrable hierarchies and string theory von Sonia Stanciu Bonn Univ. Bonn, Physikalisches Inst. 1994 115 S. Ill. txt rdacontent n rdamedia nc rdacarrier Physikalisches Institut <Bonn>: Universität Bonn, Physikalisches Institut / IR 1994,7 Zugl.: Bonn, Univ., Diss., 1994 Supersymmetrie (DE-588)4128574-8 gnd rswk-swf Integrables System (DE-588)4114032-1 gnd rswk-swf Stringtheorie (DE-588)4224278-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Integrables System (DE-588)4114032-1 s Supersymmetrie (DE-588)4128574-8 s Stringtheorie (DE-588)4224278-2 s DE-604 IR Physikalisches Institut <Bonn>: Universität Bonn, Physikalisches Institut 1994,7 (DE-604)BV000902356 1994,7 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006526062&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stanciu, Sonia Supersymmetric integrable hierarchies and string theory Supersymmetrie (DE-588)4128574-8 gnd Integrables System (DE-588)4114032-1 gnd Stringtheorie (DE-588)4224278-2 gnd |
| subject_GND | (DE-588)4128574-8 (DE-588)4114032-1 (DE-588)4224278-2 (DE-588)4113937-9 |
| title | Supersymmetric integrable hierarchies and string theory |
| title_auth | Supersymmetric integrable hierarchies and string theory |
| title_exact_search | Supersymmetric integrable hierarchies and string theory |
| title_full | Supersymmetric integrable hierarchies and string theory von Sonia Stanciu |
| title_fullStr | Supersymmetric integrable hierarchies and string theory von Sonia Stanciu |
| title_full_unstemmed | Supersymmetric integrable hierarchies and string theory von Sonia Stanciu |
| title_short | Supersymmetric integrable hierarchies and string theory |
| title_sort | supersymmetric integrable hierarchies and string theory |
| topic | Supersymmetrie (DE-588)4128574-8 gnd Integrables System (DE-588)4114032-1 gnd Stringtheorie (DE-588)4224278-2 gnd |
| topic_facet | Supersymmetrie Integrables System Stringtheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006526062&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000902356 |
| work_keys_str_mv | AT stanciusonia supersymmetricintegrablehierarchiesandstringtheory |