A New description of the E(6) singularity

Eguchi, Tohru; Yang, Sung-Kil

doi:10.1016/S0370-2693(97)00013-0

A New description of the E(6) singularity

Tohru Eguchi
(
- Tokyo U.
)
,
Sung-Kil Yang
(
- Tsukuba U.
)

Dec, 1996

13 pages

Published in:

Phys.Lett.B 394 (1997) 315-322

e-Print:

hep-th/9612086 [hep-th]

DOI:

10.1016/S0370-2693(97)00013-0

Report number:

UT-763

View in:

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Abstract:

We discuss a new type of Landau-Ginzburg potential for the E_6 singularity of the form

W=const+(Q_1(x)+P_1(x)\sqrt{P_2(x)})/x~3

which featured in a recent study of heterotic/typeII string duality. Here

Q_1,P_1

and

P_2

are polynomials of degree 15,10 and 10, respectively. We study the properties of the potential in detail and show that it gives a new and consistent description of the E_6 singularity.

gauge field theory: E(6)
supersymmetry
Landau-Ginzburg model: potential
string model
duality: transformation
geometry: algebra

References(16)

Figures(0)

An N=2 superconformal fixed point with E(6) global symmetry

- Nucl.Phys.B 482 (1996) 142-152
•
e-Print:
- hep-th/9608047
•
DOI:
- 10.1016/S0550-3213(96)00552-4

Exceptional SW geometry from ALE fibrations

W. Lerche
(
- CERN
)
,
N.P. Warner
(
- Southern California U.
)

- Phys.Lett.B 423 (1998) 79-86
•
e-Print:
- hep-th/9608183
•
DOI:
- 10.1016/S0370-2693(98)00106-3

Superconformal fixed points with E(n) global symmetry

- Nucl.Phys.B 489 (1997) 24-46
•
e-Print:
- hep-th/9610076
•
DOI:
- 10.1016/S0550-3213(97)00039-4

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

Ori J. Ganor
(
- Princeton U.
)

- Nucl.Phys.B 488 (1997) 223-235
•
e-Print:
- hep-th/9608109
•
DOI:
- 10.1016/S0550-3213(96)00687-6

Integrability and Seiberg-Witten exact solution

- Phys.Lett.B 355 (1995) 466-474
•
e-Print:
- hep-th/9505035
•
DOI:
- 10.1016/0370-2693(95)00723-X

Integrable systems and supersymmetric gauge theory

Emil J. Martinec
(
- Chicago U., EFI and
- Chicago U.
)
,
Nicholas P. Warner
(
- Southern California U.
)

- Nucl.Phys.B 459 (1996) 97-112
•
e-Print:
- hep-th/9509161
•
DOI:
- 10.1016/0550-3213(95)00588-9

The vacuum structure and spectrum of N=2 supersymmetric SU(n) gauge theory

- Phys.Rev.Lett. 74 (1995) 3931-3934
•
e-Print:
- hep-th/9411057
•
DOI:
- 10.1103/PhysRevLett.74.3931

Simple singularities and N=2 supersymmetric Yang-Mills theory

- Phys.Lett.B 344 (1995) 169-175
•
e-Print:
- hep-th/9411048
•
DOI:
- 10.1016/0370-2693(94)01516-F

On the monodromies of N=2 supersymmetric Yang-Mills theory with gauge group SO(2n)

A. Brandhuber
(
- CERN
)
,
K. Landsteiner
(
- CERN
)

- Phys.Lett.B 358 (1995) 73-80
•
e-Print:
- hep-th/9507008
•
DOI:
- 10.1016/0370-2693(95)00986-U

Topological strings in d < 1

Robbert Dijkgraaf
(
- Princeton U.
)
,
Herman L. Verlinde
(
- Princeton U.
)
,
Erik P. Verlinde
(
- Santa Barbara, KITP
)

- Nucl.Phys.B 352 (1991) 59-86
•
DOI:
- 10.1016/0550-3213(91)90129-L

Topological strings, flat coordinates and gravitational descendants

- Phys.Lett.B 305 (1993) 235-241
•
e-Print:
- hep-th/9302048
•
DOI:
- 10.1016/0370-2693(93)90113-V

Topological field theories and the period integrals

- Mod.Phys.Lett.A 8 (1993) 1627-1638
•
e-Print:
- hep-th/9304121
•
DOI:
- 10.1142/S0217732393001379

- Int.J.Mod.Phys.A 7 6515

On Dubrovin topological field theories

J.B. Zuber
(
- Saclay
)

- Mod.Phys.Lett.A 9 (1994) 749-760
•
e-Print:
- hep-th/9312209
•
DOI:
- 10.1142/S0217732394000563

The Topological CP**1 model and the large N matrix integral

Tohru Eguchi
(
- Tokyo U.
)
,
Sung-Kil Yang
(
- Tsukuba U.
)

- Mod.Phys.Lett.A 9 (1994) 2893-2902
•
e-Print:
- hep-th/9407134
•
DOI:
- 10.1142/S0217732394002732

Topological sigma models and large N matrix integral

- Int.J.Mod.Phys.A 10 (1995) 4203-4224
•
e-Print:
- hep-th/9503017
•
DOI:
- 10.1142/S0217751X95001959