Geometric transitions, brane dynamics and gauge theories

Giveon, A; Kehagias, A; Partouche, H

dc.contributor.author	Giveon, A	en
dc.contributor.author	Kehagias, A	en
dc.contributor.author	Partouche, H	en
dc.date.accessioned	2014-03-01T01:16:36Z
dc.date.available	2014-03-01T01:16:36Z
dc.date.issued	2001	en
dc.identifier.issn	10298479	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14114
dc.subject	Brane dynamics in gauge theories	en
dc.subject	D-branes	en
dc.subject	M-theory	en
dc.title	Geometric transitions, brane dynamics and gauge theories	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/1126-6708/2001/12/021	en
heal.identifier.secondary	http://dx.doi.org/10.1088/1126-6708/2001/12/021	en
heal.publicationDate	2001	en
heal.abstract	We consider the interplay between brane constructions and type IIA, IIB or M-theory geometries on Calabi-Yau (CY) and G2holonomy manifolds. This is related to N = 1(and N = 2) gauge theories in four dimensions. We first discuss simple geometric transitions corresponding to brane set ups involving orthogonal (or parallel) Neveu-Schwarz branes that approach each other. This is related to confinement and Seiberg duality in SQCD. In particular, we argue that in type IIA, a ℂPdbl;1 of singularities and one unit of Ramond-Ramond (RR) flux is dual to a D6 brane wrapped on a Lens space, describing the UV and IR of N = 1 Super-Yang-Mills (SYM), respectively. Also, in the large Nc duality that relates D6 branes on S3 to an S2 with RR flux, we implement the presence of N/ flavors of quarks. We then compactify M-theory on (T*(S3) × S1)/Zdbl;2 and observe that one phase describes SO(4) SYM in the UV and two others describe confinement. Moreover, we consider compact 7-spaces (CY×S1)Zdbl2. We describe transitions where disconnected S3's approach and connect each other before they vanish. These effects correspond to nonabelian Higgs mechanism and confinement. The similar transitions involving S2 × S1's are also considered. Finally, we present transitions at finite distance in moduli space, where the first Betti number b1 of 3-cycles of singularities changes.	en
heal.journalName	Journal of High Energy Physics	en
dc.identifier.doi	10.1088/1126-6708/2001/12/021	en
dc.identifier.volume	5	en
dc.identifier.issue	12	en
dc.identifier.spage	XXXI	en
dc.identifier.epage	53	en