The Effective prepotential of N=2 supersymmetric SO(N(c)) and Sp(N(c)) gauge theories - INSPIRE

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The Effective prepotential of N=2 supersymmetric SO(N(c)) and Sp(N(c)) gauge theories

Eric D'Hoker
(
- UCLA
)
,
I.M. Krichever
(
- Landau Inst. and
- Columbia U.
)
,
D.H. Phong
(
- Columbia U.
)

Sep, 1996

13 pages

Published in:

Nucl.Phys.B 489 (1997) 211-222

e-Print:

hep-th/9609145 [hep-th]

DOI:

10.1016/S0550-3213(97)00033-3

Report number:

UCLA-96-TEP-32

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Abstract:

We calculate the effective prepotentials for N=2 supersymmetric SO(N_c) and Sp(N_c) gauge theories, with an arbitrary number of hypermultiplets in the defining representation, from restrictions of the prepotentials for suitable N=2 supersymmetric gauge theories with unitary gauge groups. (This extends previous work in which the prepotential for N=2 supersymmetric SU(N_c) gauge theories was evaluated from the exact solution constructed out of spectral curves.) The prepotentials have to all orders the logarithmic singularities of the one-loop perturbative corrections, as expected from non-renormalization theorems. We evaluate explicitly the contributions of one- and two-instanton processes.

gauge field theory: SO(N)
gauge field theory: Sp(N)
supersymmetry
effective potential
potential: prepotential
field theory: instanton

References(35)

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Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory

- Nucl.Phys.B 426 (1994) 19-52,
- Nucl.Phys.B 430 (1994) 485-486 (erratum)
•
e-Print:
- hep-th/9407087
•
DOI:
- 10.1016/0550-3213(94)90124-4

Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD

- Nucl.Phys.B 431 (1994) 484-550
•
e-Print:
- hep-th/9408099
•
DOI:
- 10.1016/0550-3213(94)90214-3

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

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

Dynamics of SU(N) supersymmetric gauge theory

- Nucl.Phys.B 447 (1995) 271-296
•
e-Print:
- hep-th/9503163
•
DOI:
- 10.1016/0550-3213(95)00258-T

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

Hyperelliptic curves for supersymmetric Yang-Mills

Joseph A. Minahan
(
- Southern California U.
)
,
Dennis Nemeschansky
(
- CERN
)

- Nucl.Phys.B 464 (1996) 3-17
•
e-Print:
- hep-th/9507032
•
DOI:
- 10.1016/0550-3213(95)00672-9

The Moduli space of the supersymmetric G(2) Yang-Mills theory

M. Alishahiha
(
- IPM, Tehran and
- Sharif U. of Tech.
)
,
F. Ardalan
(
- IPM, Tehran and
- Sharif U. of Tech.
)
,
F. Mansouri
(
- Cincinnati U.
)

- Phys.Lett.B 381 (1996) 446-450
•
e-Print:
- hep-th/9512005
•
DOI:
- 10.1016/0370-2693(96)00592-8

The Moduli space and monodromies of the N=2 supersymmetric Yang-Mills theory with any Lie gauge groups

M.R. Abolhasani
(
- Sharif U. of Tech.
)
,
M. Alishahiha
(
- IPM, Tehran and
- Sharif U. of Tech.
)
,
A.M. Ghezelbash
(
- IPM, Tehran and
- Azzahra U.
)

- Nucl.Phys.B 480 (1996) 279-295
•
e-Print:
- hep-th/9606043
•
DOI:
- 10.1016/S0550-3213(96)00436-1

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

Integrability in N=2 gauge theory: A Proof

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

e-Print:
- hep-th/9511052

The Moduli space and monodromies of N=2 supersymmetric SO(2r+1) Yang-Mills theory

Ulf H. Danielsson
(
- Upsala Coll.
)
,
Bo Sundborg
(
- Stockholm U.
)

- Phys.Lett.B 358 (1995) 273-280
•
e-Print:
- hep-th/9504102
•
DOI:
- 10.1016/0370-2693(95)01010-N

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

- Nucl.Phys.B 452 73

On the quantum moduli space of vacua N=2 supersymmetric gauge theories

Amihay Hanany
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 466 (1996) 85-100
•
e-Print:
- hep-th/9509176
•
DOI:
- 10.1016/0550-3213(96)00077-6

On the integrable geometry of soliton equations and $N=2$ supersymmetric gauge theories

I.M. Krichever
(
- Landau Inst. and
- Columbia U.
)
,
D.H. Phong
(
- Columbia U.
)

- J.Diff.Geom. 45 (1997) 2, 349-389
•
e-Print:
- hep-th/9604199

The Effective prepotential of N=2 supersymmetric SU(N(c)) gauge theories

Eric D'Hoker
(
- CERN and
- UCLA
)
,
I.M. Krichever
(
- Landau Inst. and
- Columbia U.
)
,
D.H. Phong
(
- Columbia U.
)

- Nucl.Phys.B 489 (1997) 179-210
•
e-Print:
- hep-th/9609041
•
DOI:
- 10.1016/S0550-3213(97)00035-7

Nonperturbative effective actions of N=2 supersymmetric gauge theories

- Int.J.Mod.Phys.A 11 (1996) 1929-1974
•
e-Print:
- hep-th/9505150
•
DOI:
- 10.1142/S0217751X96001000

Picard-Fuchs equations and prepotentials in N=2 supersymmetric QCD

Katsushi Ito
(
- Tsukuba U.
)
,
Sung-Kil Yang
(
- Tsukuba U.
)

•
e-Print:
- hep-th/9603073

Multi - instanton check of the relation between the prepotential F and the modulus u in N=2 SUSY Yang-Mills theory

- Phys.Lett.B 390 (1997) 205-209
•
e-Print:
- hep-th/9606199
•
DOI:
- 10.1016/S0370-2693(96)01427-X

Multi instanton calculus in N=2 supersymmetric gauge theory. 2. Coupling to matter

- Phys.Rev.D 54 (1996) 7832-7848
•
e-Print:
- hep-th/9607202
•
DOI:
- 10.1103/PhysRevD.54.7832

Prepotential of N=2 SU(2) Yang-Mills gauge theory coupled with a massive matter multiplet

Yuji Ohta
(
- Hiroshima U.
)

- J.Math.Phys. 37 (1996) 6074-6085,
- J. Math. Phys. 38 (1997) 5447. (Erratum)
•
e-Print:
- hep-th/9604051
•
DOI:
- 10.1063/1.531764

Prepotentials of N=2 SU(2) Yang-Mills theories coupled with massive matter multiplets

Yuji Ohta
(
- Hiroshima U.
)

- J.Math.Phys. 38 (1997) 682-696
•
e-Print:
- hep-th/9604059
•
DOI:
- 10.1063/1.531858

One instanton calculations in N=2 supersymmetric SU(N(c)) Yang-Mills theory

Katsushi Ito
(
- Tsukuba U.
)
,
Naoki Sasakura
(
- KEK, Tsukuba and
- Tohoku U.
)

- Phys.Lett.B 382 (1996) 95-103
•
e-Print:
- hep-th/9602073
•
DOI:
- 10.1016/0370-2693(96)00647-8

The Vacuum structure of N=2 superQCD with classical gauge groups

- Nucl.Phys.B 461 (1996) 437-459
•
e-Print:
- hep-th/9509175
•
DOI:
- 10.1016/0550-3213(95)00661-3

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