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The AdS/CFT correspondence and string theory on the pp-wave Ramadanovic, Bojan
Abstract
Aspects of the AdS/CFT correspondence are studied in the pp.-wave/BMN limit. We use the light cone string field theory to investigate energy shifts of the one and two impurity states. In the case of two impurity states we find that logarithmic divergences, in the sums of intermediate states, actually cancel out between the Hamiltonian and a Q-dependent contact term”. We show how non-perturbative terms, that have previously plagued this theory, vanish as a consequence of this cancelation. We argue from this that every order of internal impurities contributes to the overall energy shift and attempt to give a systematic way of calculating such sums for the case of the simplest 3-string vertex (one proposed by diVecchia). We extend our analysis of the mass shift to the case of the most advanced 3-string vertex (proposed by Dobashi and Yoneya). We find agreement between our string field theory calculations and the leading order CFT result in the BMN limit. We also find strong similarities between our result and higher orders in the field theory, including, on the string side, the disappearance of the half-integer powers which generically do not exist in the field theory calculations. We also study the orbifolding of the pp-wave background which results in the discrete quantization of the light-cone momentum. We present the string field theory calculation for such a discreet momentum case. We also observe how a particular choice of the orbifold, results in the string theory corresponding to the quantization of the finite size giant magnon on the CFT side. We study this theory in detail with particular emphasis on its super algebra.
Item Metadata
Title |
The AdS/CFT correspondence and string theory on the pp-wave
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2008
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Description |
Aspects of the AdS/CFT correspondence are studied in the pp.-wave/BMN limit. We use
the light cone string field theory to investigate energy shifts of the one and two impurity
states. In the case of two impurity states we find that logarithmic divergences, in the sums
of intermediate states, actually cancel out between the Hamiltonian and a Q-dependent
contact term”. We show how non-perturbative terms, that have previously plagued this
theory, vanish as a consequence of this cancelation. We argue from this that every order of
internal impurities contributes to the overall energy shift and attempt to give a systematic
way of calculating such sums for the case of the simplest 3-string vertex (one proposed by
diVecchia).
We extend our analysis of the mass shift to the case of the most advanced 3-string
vertex (proposed by Dobashi and Yoneya). We find agreement between our string field
theory calculations and the leading order CFT result in the BMN limit. We also find strong
similarities between our result and higher orders in the field theory, including, on the string
side, the disappearance of the half-integer powers which generically do not exist in the field
theory calculations.
We also study the orbifolding of the pp-wave background which results in the discrete
quantization of the light-cone momentum. We present the string field theory calculation for
such a discreet momentum case. We also observe how a particular choice of the orbifold,
results in the string theory corresponding to the quantization of the finite size giant magnon
on the CFT side. We study this theory in detail with particular emphasis on its super
algebra.
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Extent |
3289309 bytes
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Genre | |
Type | |
File Format |
application/pdf
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Language |
eng
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Date Available |
2009-03-02
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0066996
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2008-11
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International