Quantum aspects of Pohlmeyer-reduced AdS5 x S5 superstring
Author(s)
Iwashita, Yukinori
Type
Thesis
Abstract
The AdS5 ×S5 superstring action is constructed by the Green-Schwarz formalism. For quantization
it is necessary to eliminate unphysical degrees of freedom from the action by solving the
Virasoro constraints and fixing the fermionic kappa-symmetry, which can be achieved by the
Pohlmeyer reduction preserving the two-dimensional Lorentz invariance and the integrability.
The resulting system is a gauged Wess-Zumino-Witten (gWZW) model deformed with a certain
integrable potential and two-dimensional fermions. This thesis explores the quantum relation
between the AdS5 × S5 superstring theory and the deformed gWZW model by evaluating the
reduced theory quantum partition functions for respective classical string configurations.
To understand the quantum relation between the original string theory and the reduced theory,
the one-loop computation in the reduced theory is first studied for homogeneous and inhomogeneous
string configurations localized in subspaces. For these classical backgrounds we
demonstrate that the reduced theory partition function is exactly the same as the string theory
one, then they are equivalent at one-loop level.
Next we investigate the two-loop relation between the original string theory the reduced theory.
The two-loop computation in the reduced theory is performed by considering the long folded
string localized in AdS3. We show that the nontrivial finite terms of the two-loop partition
functions of the two theories match, exhibiting the same patterns of the bosonic contributions
and fermionic contributions. This is a strong indication that the AdS5 × S5 GS string and its
reduced form are closely related at the quantum level.
it is necessary to eliminate unphysical degrees of freedom from the action by solving the
Virasoro constraints and fixing the fermionic kappa-symmetry, which can be achieved by the
Pohlmeyer reduction preserving the two-dimensional Lorentz invariance and the integrability.
The resulting system is a gauged Wess-Zumino-Witten (gWZW) model deformed with a certain
integrable potential and two-dimensional fermions. This thesis explores the quantum relation
between the AdS5 × S5 superstring theory and the deformed gWZW model by evaluating the
reduced theory quantum partition functions for respective classical string configurations.
To understand the quantum relation between the original string theory and the reduced theory,
the one-loop computation in the reduced theory is first studied for homogeneous and inhomogeneous
string configurations localized in subspaces. For these classical backgrounds we
demonstrate that the reduced theory partition function is exactly the same as the string theory
one, then they are equivalent at one-loop level.
Next we investigate the two-loop relation between the original string theory the reduced theory.
The two-loop computation in the reduced theory is performed by considering the long folded
string localized in AdS3. We show that the nontrivial finite terms of the two-loop partition
functions of the two theories match, exhibiting the same patterns of the bosonic contributions
and fermionic contributions. This is a strong indication that the AdS5 × S5 GS string and its
reduced form are closely related at the quantum level.
Date Issued
2012-02
Date Awarded
2012-04
Copyright Statement
Attribution NoDerivatives 4.0 International Licence (CC BY-ND)
Advisor
Tseytlin, Arkady
Sponsor
Keidanren Ishizaka Memorial Foundation
Publisher Department
Physics
Publisher Institution
Imperial College London
Qualification Level
Doctoral
Qualification Name
Doctor of Philosophy (PhD)