The Coulomb branch of N=1 supersymmetric gauge theory with adjoint and fundamental matter

, N_f flavors of fundamentals Q and antifundamentals \tQ, and tree-level superpotential of the form \tQ\Phi~l Q. This superpotential is relevant or marginal for

lN_f\leq 2N_c

. The theory has a Coulomb branch which is not lifted by quantum corrections. We find the exact effective gauge coupling on the Coulomb branch in terms of a family of hyperelliptic curves, thus providing a generalization of known results about N=2 SUSY QCD to N=1 context. The Coulomb branch has singular points at which mutually nonlocal dyons become massless. These singularities presumably correspond to new N=1 superconformal fixed points. We discuss them in some detail for N_c=2, N_f=1.

Note:

12 pages, revtex

gauge field theory: SU(N)
fermion: flavor
supersymmetry
potential
coupling constant
dyon

References(10)

Figures(0)

Electric - magnetic duality in supersymmetric nonAbelian gauge theories

N. Seiberg
(
- Rutgers U., Piscataway and
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 435 (1995) 129-146
•
e-Print:
- hep-th/9411149
•
DOI:
- 10.1016/0550-3213(94)00023-8

A Comment on duality in N=1 supersymmetric nonAbelian gauge theories

D. Kutasov
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Lett.B 351 (1995) 230-234
•
e-Print:
- hep-th/9503086
•
DOI:
- 10.1016/0370-2693(95)00392-X

On duality in supersymmetric Yang-Mills theory

D. Kutasov
(
- Chicago U., EFI and
- Chicago U.
)
,
A. Schwimmer
(
- Weizmann Inst.
)

- Phys.Lett.B 354 (1995) 315-321
•
e-Print:
- hep-th/9505004
•
DOI:
- 10.1016/0370-2693(95)00676-C

Chiral rings, singularity theory and electric - magnetic duality

D. Kutasov
(
- Chicago U., EFI and
- Chicago U.
)
,
A. Schwimmer
(
- Weizmann Inst.
)
,
N. Seiberg
(
- Rutgers U., Piscataway
)

- Nucl.Phys.B 459 (1996) 455-496
•
e-Print:
- hep-th/9510222
•
DOI:
- 10.1016/0550-3213(95)00599-4

New phenomena in SU(3) supersymmetric gauge theory

- Nucl.Phys.B 448 (1995) 93-126
•
e-Print:
- hep-th/9505062
•
DOI:
- 10.1016/0550-3213(95)00281-V

New N=2 superconformal field theories in four-dimensions

- Nucl.Phys.B 461 (1996) 71-84
•
e-Print:
- hep-th/9511154
•
DOI:
- 10.1016/0550-3213(95)00671-0

Solution of the Anomaly Puzzle in SUSY Gauge Theories and the Wilson Operator Expansion

Mikhail A. Shifman
(
- Moscow, ITEP
)
,
A.I. Vainshtein
(
- Novosibirsk, IYF
)

- Nucl.Phys.B 277 (1986) 456,
- Sov.Phys.JETP 64 (1986) 428-440,
- Zh.Eksp.Teor.Fiz. 91 (1986) 723-744,
- Zh. Eksp. Teor. Fiz. 91 ( 1986) 723-744
•
DOI:
- 10.1016/0550-3213(86)90451-7

On holomorphic dependence and infrared effects in supersymmetric gauge theories

Mikhail A. Shifman
(
- Minnesota U.
)
,
A.I. Vainshtein
(
- Minnesota U. and
- Novosibirsk, IYF
)

- Nucl.Phys.B 359 (1991) 571-580
•
DOI:
- 10.1016/0550-3213(91)90072-6

The Coulomb phase of N=2 supersymmetric QCD

- Phys.Rev.Lett. 75 (1995) 1699-1702
•
e-Print:
- hep-th/9505100
•
DOI:
- 10.1103/PhysRevLett.75.1699

Exactly marginal operators and duality in four-dimensional N=1 supersymmetric gauge theory

- Nucl.Phys.B 447 (1995) 95-136
•
e-Print:
- hep-th/9503121
•
DOI:
- 10.1016/0550-3213(95)00261-P