Affine seven-brane backgrounds and five-dimensional E(N) theories on S**1

Yamada, Yasuhiko; Yang, Sung-Kil

doi:10.1016/S0550-3213(99)00634-3

Affine seven-brane backgrounds and five-dimensional E(N) theories on S**1

Yasuhiko Yamada
(
- Kobe U.
)
,
Sung-Kil Yang
(
- Tsukuba U.
)

Jul, 1999

23 pages

Published in:

Nucl.Phys.B 566 (2000) 642-660

e-Print:

hep-th/9907134 [hep-th]

DOI:

10.1016/S0550-3213(99)00634-3

Report number:

UTHEP-407

View in:

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reference search27 citations

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Abstract:

Elliptic curves for the 7-brane configurations realizing the affine Lie algebras \wh E_n

(1 \leq n \leq 8)

and \wh{\wt E}_n

(n=0,1)

are systematically derived from the cubic equation for a rational elliptic surface. It is then shown that the \wh E_n 7-branes describe the discriminant locus of the elliptic curves for five-dimensional (5D) N=1

E_n

theories compactified on a circle. This is in accordance with a recent construction of 5D N=1

E_n

theories on the IIB 5-brane web with 7-branes, and indicates the validity of the D3 probe picture for 5D

E_n

theories on \bR^4 \times S^1. Using the \wh E_n curves we also study the compactification of 5D

E_n

theories to four dimensions.

11.15.-q
11.15.Tk
11.30.Pb
Non-trivial fixed points
Affine exceptional symmetry
Seven-branes
membrane model: p-brane
p-brane: 7
dimension: 5
algebra: Lie

References(42)

Figures(0)

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Affine seven-brane backgrounds and five-dimensional E(N) theories on S**1

Citations per year

Exceptional groups from open strings

E(8) flavor multiplets

Open string-string junction transitions

String junctions for arbitrary Lie algebra representations

Constraints on the BPS spectrum of N=2, D = 4 theories with A-D-E flavor symmetry

Selfintersection number of BPS junctions in backgrounds of three-branes and seven-branes

Affine Lie algebras, string junctions and seven-branes

Uncovering the symmetries on [p,q] seven-branes: Beyond the Kodaira classification

Uncovering infinite symmetries on [p, q] 7-branes: Kac-Moody algebras and beyond

Five-branes, seven-branes and five-dimensional E(n) field theories

Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics

Extremal transitions and five-dimensional supersymmetric field theories

Small instantons, Del Pezzo surfaces and type I-prime theory

Investigating the BPS spectrum of noncritical E(n) strings

Noncritical strings, Del Pezzo singularities and Seiberg-Witten curves

Evidence for F theory

F theory and orientifolds

BPS states on a three-brane probe

Probing F theory with branes

Compactifications of F theory on Calabi-Yau threefolds. 2.

A Test of the chiral E(8) current algebra on a 6-D noncritical string

Toroidal compactification of heterotic 6-d noncritical strings down to four-dimensions

BPS states of exceptional noncritical strings