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Superstring theory in AdS(3) and pla...

Son, John Sang Won.

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Superstring theory in AdS(3) and plane waves.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Superstring theory in AdS(3) and plane waves./
作者:	Son, John Sang Won.
面頁冊數:	101 p.
附註:	Source: Dissertation Abstracts International, Volume: 65-05, Section: B, page: 2464.
Contained By:	Dissertation Abstracts International65-05B.
標題:	Physics, Elementary Particles and High Energy. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3131991
ISBN:	0496792318

Superstring theory in AdS(3) and plane waves.
Son, John Sang Won.

Superstring theory in AdS(3) and plane waves. - 101 p.

Source: Dissertation Abstracts International, Volume: 65-05, Section: B, page: 2464.

Thesis (Ph.D.)--Harvard University, 2004.

This thesis is devoted to the study of string theory in AdS 3 and its applications to recent developments in string theory. The difficulties associated with formulating a consistent string theory in AdS3 and its underlying SL(2, R) WZW model are explained. We describe how these difficulties can be overcome by assuming that the SL(2, R) WZW model contains spectral flow symmetry. The existence of spectral flow symmetry in the fully quantum treatment is proved by a calculation of the one-loop string partition function. We consider Euclidean AdS 3 with the time direction periodically identified, and compute the torus partition function in this background. The string spectrum can be reproduced by viewing the one-loop calculation as the free energy of a gas of strings, thus providing a rigorous proof of the results based on spectral flow arguments.

ISBN: 0496792318Subjects--Topical Terms:

1019488
Physics, Elementary Particles and High Energy.

Superstring theory in AdS(3) and plane waves.
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100 1 $a Son, John Sang Won. $3 1932690
245 1 0 $a Superstring theory in AdS(3) and plane waves.
300 $a 101 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-05, Section: B, page: 2464.
500 $a Adviser: Shiraz Minwalla.
502 $a Thesis (Ph.D.)--Harvard University, 2004.
520 $a This thesis is devoted to the study of string theory in AdS 3 and its applications to recent developments in string theory. The difficulties associated with formulating a consistent string theory in AdS3 and its underlying SL(2, R) WZW model are explained. We describe how these difficulties can be overcome by assuming that the SL(2, R) WZW model contains spectral flow symmetry. The existence of spectral flow symmetry in the fully quantum treatment is proved by a calculation of the one-loop string partition function. We consider Euclidean AdS 3 with the time direction periodically identified, and compute the torus partition function in this background. The string spectrum can be reproduced by viewing the one-loop calculation as the free energy of a gas of strings, thus providing a rigorous proof of the results based on spectral flow arguments.
520 $a Next, we turn to spacetimes that are quotients of AdS 3, which include the BTZ black hole and conical spaces. Strings propagating in the conical space are described by taking an orbifold of strings in AdS3. We show that the twisted states of these orbifolds can be obtained by fractional spectral flow. We show that the shift in the ground state energy usually associated with orbifold twists is absent in this case, and offer a unified framework in which to view spectral flow.
520 $a Lastly, we consider the RNS superstrings in AdS 3 x S3 x M , where M may be K3 or T 4, based on supersymmetric extensions of SL(2, R) and SU(2) WZW models. We construct the physical states and calculate the spectrum. A subsector of this theory describes strings propagating in the six dimensional plane wave obtained by the Penrose limit of AdS3 x S3 x M . We reproduce the plane wave spectrum by taking J and the radius to infinity. We show that the plane wave spectrum actually coincides with the large J spectrum at fixed radius, i.e. in AdS3 x S3. Relation to some recent topics of interest such as the Frolov-Tseytlin string and strings with critical tension or in zero radius AdS are discussed.
590 $a School code: 0084.
650 4 $a Physics, Elementary Particles and High Energy. $3 1019488
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710 2 0 $a Harvard University. $3 528741
773 0 $t Dissertation Abstracts International $g 65-05B.
790 1 0 $a Minwalla, Shiraz, $e advisor
790 $a 0084
791 $a Ph.D.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3131991