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Matrix model superpotentials and Cal...

Curto, Carina.

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Matrix model superpotentials and Calabi-Yau spaces: An A-D-E classification.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Matrix model superpotentials and Calabi-Yau spaces: An A-D-E classification./
Author:	Curto, Carina.
Description:	177 p.
Notes:	Source: Dissertation Abstracts International, Volume: 66-09, Section: B, page: 4843.
Contained By:	Dissertation Abstracts International66-09B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoeng/servlet/advanced?query=3187950
ISBN:	9780542303470

Matrix model superpotentials and Calabi-Yau spaces: An A-D-E classification.
Curto, Carina.

Matrix model superpotentials and Calabi-Yau spaces: An A-D-E classification. - 177 p.

Source: Dissertation Abstracts International, Volume: 66-09, Section: B, page: 4843.

Thesis (Ph.D.)--Duke University, 2005.

We use F. Ferrari's methods relating matrix models to Calabi-Yau spaces in order to explain Intriligator and Wecht's ADE classification of N = 1 superconformal theories which arise as RG fixed points of N = 1 SQCD theories with adjoints. The connection between matrix models and N = 1 gauge theories can be seen as evidence for the Dijkgraaf-Vafa conjecture. We find that ADE superpotentials in the Intriligator-Wecht classification exactly match matrix model superpotentials obtained from Calabi-Yau's with corresponding ADE singularities. Moreover, in the additional O, A, D&circ; and E cases we find new singular geometries. These 'hat' geometries are closely related to their ADE counterparts, but feature non-isolated singularities. As a byproduct, we give simple descriptions for small resolutions of Gorenstein threefold singularities in terms of transition functions between just two coordinate charts. To obtain these results we develop techniques for performing small resolutions and small blow-downs, including an algorithm for blowing down exceptional P1 's. In particular, we conjecture that small resolutions for isolated Gorenstein threefold singularities can be obtained by deforming matrix factorizations for simple surface singularities - and prove this in the length 1 and length 2 cases.

ISBN: 9780542303470Subjects--Topical Terms:

515831
Mathematics.

Matrix model superpotentials and Calabi-Yau spaces: An A-D-E classification.
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035 $a (UMI)AAI3187950
035 $a AAI3187950
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100 1 $a Curto, Carina. $3 1267464
245 1 0 $a Matrix model superpotentials and Calabi-Yau spaces: An A-D-E classification.
300 $a 177 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-09, Section: B, page: 4843.
500 $a Supervisor: David R. Morrison.
502 $a Thesis (Ph.D.)--Duke University, 2005.
520 $a We use F. Ferrari's methods relating matrix models to Calabi-Yau spaces in order to explain Intriligator and Wecht's ADE classification of N = 1 superconformal theories which arise as RG fixed points of N = 1 SQCD theories with adjoints. The connection between matrix models and N = 1 gauge theories can be seen as evidence for the Dijkgraaf-Vafa conjecture. We find that ADE superpotentials in the Intriligator-Wecht classification exactly match matrix model superpotentials obtained from Calabi-Yau's with corresponding ADE singularities. Moreover, in the additional O, A, D&circ; and E cases we find new singular geometries. These 'hat' geometries are closely related to their ADE counterparts, but feature non-isolated singularities. As a byproduct, we give simple descriptions for small resolutions of Gorenstein threefold singularities in terms of transition functions between just two coordinate charts. To obtain these results we develop techniques for performing small resolutions and small blow-downs, including an algorithm for blowing down exceptional P1 's. In particular, we conjecture that small resolutions for isolated Gorenstein threefold singularities can be obtained by deforming matrix factorizations for simple surface singularities - and prove this in the length 1 and length 2 cases.
590 $a School code: 0066.
650 4 $a Mathematics. $3 515831
650 4 $a Physics, Elementary Particles and High Energy. $3 1019488
690 $a 0405
690 $a 0798
710 2 0 $a Duke University. $3 569686
773 0 $t Dissertation Abstracts International $g 66-09B.
790 $a 0066
790 1 0 $a Morrison, David R., $e advisor
791 $a Ph.D.
792 $a 2005
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoeng/servlet/advanced?query=3187950