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The Resource Superconformal Index on RP2 Ã{u0097} S1 and 3D Mirror Symmetry

Superconformal Index on RP2 Ã{u0097} S1 and 3D Mirror Symmetry

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Superconformal Index on RP2 Ã{u0097} S1 and 3D Mirror Symmetry
Title
Superconformal Index on RP2 Ã{u0097} S1 and 3D Mirror Symmetry
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Subject
Language
eng
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Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer Theses Ser
Superconformal Index on RP2 Ã{u0097} S1 and 3D Mirror Symmetry
Label
Superconformal Index on RP2 Ã{u0097} S1 and 3D Mirror Symmetry
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4644439
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Supervisor's Foreword -- Parts of this thesis have been published in the following journal articles: -- Acknowledgments -- Contents -- 1 Introduction and Summary -- References -- 2 Preliminary---Quantum Mechanics -- 2.1 Representation Theory -- 2.1.1 Boson -- 2.1.2 Fermion -- 2.2 Partition Function -- 2.2.1 Boson Sector -- 2.2.2 Fermion Sector -- 2.3 Witten Index -- 2.3.1 Fermion Sector -- 2.3.2 Supersymmetric Quantum Mechanics -- 2.3.3 Generalized Index -- References -- 3 Three-Dimensional Superconformal Index on M2 timesS1Ý -- 3.1 Superconformal Index -- 3.1.1 Operator Formalism Description -- 3.1.2 Path Integral Description -- 3.2 Supersymmetric Field Theories on Curved Manifold M2 timesS1Ý -- 3.2.1 Our Convention for Spinors -- 3.2.2 Killing Spinors -- 3.2.3 mathcalN = 2 Vector Multiplet -- 3.2.4 mathcalN = 2 Matter Multiplet -- 3.2.5 SUSY Invariant Lagrangians -- 3.3 Supersymmetric Localization Techniques -- References -- 4 Localization Calculous of SCI with M2 = S2 -- 4.1 Vector Multiplet -- 4.1.1 QFT on S2 timesS1Ýto QM on SÝ1 -- 4.2 Matter Multiplet -- 4.2.1 QFT on S2 timesS1Ýto QM on SÝ1 -- 4.3 Formulas -- 4.3.1 Non Gauge Theory -- 4.3.2 Gauge Theory -- References -- 5 Localization Calculous of SCI with M2 = RP2 -- 5.1 Supersymmetric Parity Conditions -- 5.2 Vector Multiplet -- 5.2.1 QFT on RP2 timesS1Ýto QM on SÝ1 -- 5.3 Matter Multiplet -- 5.3.1 QFT on RP2 timesS1Ýto QM on SÝ1 -- 5.4 Formulas -- 5.4.1 Non Gauge Theory -- 5.4.2 Gauge Theory -- References -- 6 An Application: Three-Dimensional Abelian Mirror Symmetry -- 6.1 Duality Between SQED and XYZ-Model -- 6.1.1 XYZ-Model -- 6.1.2 SQED -- 6.2 Check in M2 = S2 Case -- 6.2.1 SCI of XYZ-Model -- 6.2.2 SCI of SQED -- 6.2.3 Check in M2 = RP2 Case -- References -- 7 Concluding Remarks -- References -- Appendix A Mathematics for the Thesis -- Appendix B Monopole Spherical Harmonics
  • Appendix C Proof of IXY Z= ISQED -- Curriculum Vitae
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{'f': 'http://opac.lib.rpi.edu/record=b4385864'}
Extent
1 online resource (91 pages)
Form of item
online
Isbn
9789811013980
Media category
computer
Media MARC source
rdamedia
Media type code
c
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unknown sound
Specific material designation
remote

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