Aspects of ADS/CFT (Record no. 48817)

000 -LEADER
fixed length control field 03774nam a2200277Ia 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 160627s2011||||xx |||||||||||||| ||und||
080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER
Universal Decimal Classification number HBNI Th 37
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Nilanjan Sircar
Relator term author
245 ## - TITLE STATEMENT
Title Aspects of ADS/CFT
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Year of publication 2011
300 ## - PHYSICAL DESCRIPTION
Number of Pages 166p.
502 ## - DISSERTATION NOTE
Dissertation note 2011
502 ## - DISSERTATION NOTE
Degree Type Ph.D
502 ## - DISSERTATION NOTE
Name of granting institution
520 3# - SUMMARY, ETC.
Summary, etc This thesis is devoted to study of two aspects or use of AdS/CFT conjecture: One is the use of AdS/CFT in understanding the IR-cut-off appearing in the resolution of Hagedorn limiting temperature in String Theory via BFSS matrix model. And other is the use of AdS/CFT in understanding of low energy condensed matter system. A brief abstract of these studies are written separately below. Hagedorn Phase Transition and Matrix Model for String Theory: Hagedorn Temperature is the temperature at which the partition function diverges due to the exponential growth in the density of states, which overtakes the Boltzmann suppression factor. BFSS matrix model which describes M-theory in some limit, has membrane degrees of freedom. String like con gurations can be constructed from basic degrees of freedom of the matrix model. Hagedorn temperature can be reinterpreted in terms of new degrees of freedom as a phase transition. In the first part of this thesis, we will construct two phases of matrix model ("string" phase and "clustered phase"), and compare their free energies to fi nd signature of phase transition. It will be shown that, there exist phase transitions between these two con gurations -but only in presence of an IR cut-off. The low temperature phase corresponds to a string (wrapped membrane) phase and so we call this the Hagedorn phase transition. While the presence of an IR cut-off seemingly is only required for perturbative analysis to be valid, the physical necessity of such a cut-off can be seen in the dual super-gravity side using AdS/CFT conjecture. Interestingly the perturbative analysis also shows a second phase transition back to a string phase. This is reminiscent of the Gregory-La amme instability. Duality between Charged BTZ black hole and Luttinger liquids: In the second part of thesis, we study properties of strongly coupled CFT's with non-zero background electric charge in 1+1 dimensions by studying the dual gravity theory - which is a charged BTZ black hole. We will calculate correlators of operators dual to scalars, gauge elds and fermions are studied at both T = 0 and T (not)= 0. In the T = 0 case we will also able to compare with analytical results based on AdS2 and find reasonable agreement. In particular the correlation between log periodicity and the presence of nite spectral density of gapless modes will be seen. The real part of the conductivity (given by the current-current correlator) also vanishes as w → 0 as expected. The fermion Green's function shows quasiparticle peaks with approximately linear dispersion but the detailed structure is neither Fermi liquid nor Luttinger liquid and bears some similarity to a "Fermi-Luttinger" liquid. This is expected since there is a background charge and the theory is not Lorentz or scale invariant. A boundary action that produces the observed non-Luttinger-liquid like behavior (k-independent non-analyticity at w = 0) in the Green's function is discussed.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Ads/CFT Conjecture
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term BTZ Black Hole
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Hagedorn Phase Transition
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term HBNI Th37
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Matrix Models
720 1# - ADDED ENTRY--UNCONTROLLED NAME
Thesis Advisor Sathiapalan Balachandran
Relator term Thesis advisor [ths]
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.imsc.res.in/xmlui/handle/123456789/266
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type THESIS & DISSERTATION
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Full call number Accession Number Uniform Resource Identifier Koha item type
        IMSc Library HBNI Th 37 66492 http://www.imsc.res.in/xmlui/handle/123456789/266 THESIS & DISSERTATION
The Institute of Mathematical Sciences, Chennai, India

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