scholarly journals THE LARGE-N LIMIT OF $\mathcal{N} = 1$ FIELD THEORIES FROM F THEORY

1999 ◽  
Vol 14 (05) ◽  
pp. 369-378 ◽  
Author(s):  
CHANGHYUN AHN ◽  
KYUNGHO OH ◽  
RADU TATAR
Keyword(s):  
Space Time ◽  
Field Theories ◽  
Text Field ◽  
Large N ◽  
World Volume ◽  
The World

We study AdS/CFT correspondence in four-dimensional [Formula: see text] field theories realized on the world-volume of D3 branes near the intersections between D7 and D 7′ branes in F theory studied by Aharony et al. We consider the compactification of F theory on elliptically fibered Calabi–Yau threefolds corresponding to two sets of parallel D7 branes sharing six space–time directions. This can be viewed as orbifolds of six torus T6 by Zp × Zq(p,q = 2,3,4,6). We find the large-N spectrum of chiral primary operators by exploiting the property of AdS/CFT correspondence. Moreover, we discuss super gravity solutions for D3 branes in D7 and D 7′ branes background.

BRANE REALIZATIONS OF QUANTUM HALL SOLITONS AND LIE ALGEBRAS

2012 ◽  
Vol 09 (03) ◽  
pp. 1250017
Author(s):  
A. BELHAJ ◽  
A. ELRHALAMI ◽  
N.-E. FAHSSI ◽  
M. J. I. KHAN ◽  
E. H. SAIDI ◽  
...  
Keyword(s):  
Lie Algebras ◽  
Filling Factor ◽  
Gauge Theories ◽  
Quantum Hall ◽  
Space Time ◽  
Magnetic Source ◽  
Dynkin Diagrams ◽  
World Volume ◽  
The World ◽  
Representations Of Lie Algebras

Using quiver gauge theories in (1+2)-dimensions, we give brane realizations of a class of Quantum Hall Solitons (QHS) embedded in Type IIA superstring on the ALE spaces with exotic singularities. These systems are obtained by considering two sets of wrapped D4-branes on 2-spheres. The space-time on which the QHS live is identified with the world-volume of D4-branes wrapped on a collection of intersecting 2-spheres arranged as extended Dynkin diagrams of Lie algebras. The magnetic source is given by an extra orthogonal D4-brane wrapping a generic 2-cycle in the ALE spaces. It is shown as well that data on the representations of Lie algebras fix the filling factor of the QHS. In case of finite Dynkin diagrams, we recover results on QHS with integer and fractional filling factors known in the literature. In case of hyperbolic bilayer models, we obtain amongst others values of filling factors appearing in graphene literature.

scholarly journals ON TARGET SPACE DUALITY IN p-BRANES

1995 ◽  
Vol 10 (05) ◽  
pp. 441-450 ◽  
Author(s):  
R. PERCACCI ◽  
E. SEZGIN
Keyword(s):  
Dimensional Space ◽  
Target Space ◽  
Field Equations ◽  
Parameter Group ◽  
Duality Transformations ◽  
World Volume ◽  
The World ◽  
Dimensional Space Time ◽  
Background Fields ◽  
Two Parameter

We study the target space duality transformations in p-branes as transformations which mix the world volume field equations with Bianchi identities. We consider an (m+p+1)-dimensional space-time with p+1 dimensions compactified, and a particular form of the background fields. We find that while a GL (2) = SL (2) × R group is realized when m = 0, only a two-parameter group is realized when m > 0.

Instantons versus factorization in large-N field theories

1984 ◽  
Vol 140 (5-6) ◽  
pp. 375-378 ◽  
Author(s):  
Pierre van Baal
Keyword(s):  
Field Theories ◽  
Large N
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