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Title: Super Picard-Fuchs equation and monodromies for supermanifolds

Abstract

Following, Aganagic and Vafa (e-print hep-th/0403192) and Hori and Vafa (e-print hep-th/0002222), we discuss the Picard-Fuchs equation for the super Landau-Ginsburg mirror to the super Calabi-Yau in WCP{sup (3vertical bar2)}[1,1,1,3 vertical bar 1,5] (using techniques of Greene and Lazaroiu [Nucl. Phys. B 604, 181 (2001), e-print hep-th/0001025] and Misra [Fortschr. Phys. 52, 831 (2004), e-print hep-th/0311186]), Meijer basis of solutions, and monodromies (at 0,1 and {infinity}) in the large and small complex structure limits, as well as obtain the mirror hypersurface, which in the large Kaehler limit turns out to be either a bidegree-(6,6) hypersurface in WCP{sup (3|1)}[1,1,1,2]xWCP{sup (1vertical bar1)}[1,1 vertical bar 6] or a (Z{sub 2} singular) bidegree-(6,12) hypersurface in WCP{sup (3vertical bar1)}[1,1,2,6 vertical bar 6]xWCP{sup (1vertical bar1)}[1,1 vertical bar 6].

Authors:
; ;  [1]
  1. Indian Institute of Technology Roorkee, Roorkee, 247 667 Uttaranchal (India)
Publication Date:
OSTI Identifier:
20929638
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 2; Other Information: DOI: 10.1063/1.2426418; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; EQUATIONS; GINZBURG-LANDAU THEORY; MATHEMATICAL MANIFOLDS; MATHEMATICAL SOLUTIONS; SUPERSTRING THEORY; SUPERSYMMETRY

Citation Formats

Kaura, Payal, Misra, Aalok, and Shukla, Pramod. Super Picard-Fuchs equation and monodromies for supermanifolds. United States: N. p., 2007. Web. doi:10.1063/1.2426418.
Kaura, Payal, Misra, Aalok, & Shukla, Pramod. Super Picard-Fuchs equation and monodromies for supermanifolds. United States. doi:10.1063/1.2426418.
Kaura, Payal, Misra, Aalok, and Shukla, Pramod. Thu . "Super Picard-Fuchs equation and monodromies for supermanifolds". United States. doi:10.1063/1.2426418.
@article{osti_20929638,
title = {Super Picard-Fuchs equation and monodromies for supermanifolds},
author = {Kaura, Payal and Misra, Aalok and Shukla, Pramod},
abstractNote = {Following, Aganagic and Vafa (e-print hep-th/0403192) and Hori and Vafa (e-print hep-th/0002222), we discuss the Picard-Fuchs equation for the super Landau-Ginsburg mirror to the super Calabi-Yau in WCP{sup (3vertical bar2)}[1,1,1,3 vertical bar 1,5] (using techniques of Greene and Lazaroiu [Nucl. Phys. B 604, 181 (2001), e-print hep-th/0001025] and Misra [Fortschr. Phys. 52, 831 (2004), e-print hep-th/0311186]), Meijer basis of solutions, and monodromies (at 0,1 and {infinity}) in the large and small complex structure limits, as well as obtain the mirror hypersurface, which in the large Kaehler limit turns out to be either a bidegree-(6,6) hypersurface in WCP{sup (3|1)}[1,1,1,2]xWCP{sup (1vertical bar1)}[1,1 vertical bar 6] or a (Z{sub 2} singular) bidegree-(6,12) hypersurface in WCP{sup (3vertical bar1)}[1,1,2,6 vertical bar 6]xWCP{sup (1vertical bar1)}[1,1 vertical bar 6].},
doi = {10.1063/1.2426418},
journal = {Journal of Mathematical Physics},
number = 2,
volume = 48,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}