New instanton effects in supersymmetric QCD

Chris Beasley; Edward Witten

doi:10.1088/1126-6708/2005/01/056

New instanton effects in supersymmetric QCD

Chris Beasley, Edward Witten

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

In supersymmetric QCD with SU(N_c) gauge group and N_f flavors, it is known that instantons generate a superpotential if N_f = N_c -1 and deform the moduli space of vacua if N_f = N_c. But the role of instantons has been unclear for N_f > N_c. In this paper, we demonstrate that for N_f > N_c, on the moduli space of vacua, instantons generate a more subtle chiral operator containing (for example) non-derivative interactions of 2(N _f-N_c) + 4 fermions. Upon giving masses to some flavors, one can integrate out some fermions and recover the standard results for N _f = N_c and N_f = N_c -1. For N _f = N_c, our analysis gives, in a sense, a more systematic way to demonstrate that instantons deform the complex structure of the moduli space of vacua.

Original language	English (US)
Article number	056
Journal	Journal of High Energy Physics
Issue number	1
DOIs	https://doi.org/10.1088/1126-6708/2005/01/056
State	Published - Jan 2005
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

QCD
Solitons Monopoles and Instantons
Supersymmetric Effective Theories
Supersymmetry and Duality

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10.1088/1126-6708/2005/01/056

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title = "New instanton effects in supersymmetric QCD",

abstract = "In supersymmetric QCD with SU(Nc) gauge group and Nf flavors, it is known that instantons generate a superpotential if Nf = Nc -1 and deform the moduli space of vacua if Nf = Nc. But the role of instantons has been unclear for Nf > Nc. In this paper, we demonstrate that for Nf > Nc, on the moduli space of vacua, instantons generate a more subtle chiral operator containing (for example) non-derivative interactions of 2(N f-Nc) + 4 fermions. Upon giving masses to some flavors, one can integrate out some fermions and recover the standard results for N f = Nc and Nf = Nc -1. For N f = Nc, our analysis gives, in a sense, a more systematic way to demonstrate that instantons deform the complex structure of the moduli space of vacua.",

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AU - Witten, Edward

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N2 - In supersymmetric QCD with SU(Nc) gauge group and Nf flavors, it is known that instantons generate a superpotential if Nf = Nc -1 and deform the moduli space of vacua if Nf = Nc. But the role of instantons has been unclear for Nf > Nc. In this paper, we demonstrate that for Nf > Nc, on the moduli space of vacua, instantons generate a more subtle chiral operator containing (for example) non-derivative interactions of 2(N f-Nc) + 4 fermions. Upon giving masses to some flavors, one can integrate out some fermions and recover the standard results for N f = Nc and Nf = Nc -1. For N f = Nc, our analysis gives, in a sense, a more systematic way to demonstrate that instantons deform the complex structure of the moduli space of vacua.

AB - In supersymmetric QCD with SU(Nc) gauge group and Nf flavors, it is known that instantons generate a superpotential if Nf = Nc -1 and deform the moduli space of vacua if Nf = Nc. But the role of instantons has been unclear for Nf > Nc. In this paper, we demonstrate that for Nf > Nc, on the moduli space of vacua, instantons generate a more subtle chiral operator containing (for example) non-derivative interactions of 2(N f-Nc) + 4 fermions. Upon giving masses to some flavors, one can integrate out some fermions and recover the standard results for N f = Nc and Nf = Nc -1. For N f = Nc, our analysis gives, in a sense, a more systematic way to demonstrate that instantons deform the complex structure of the moduli space of vacua.

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KW - Solitons Monopoles and Instantons

KW - Supersymmetric Effective Theories

KW - Supersymmetry and Duality

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New instanton effects in supersymmetric QCD

Abstract

All Science Journal Classification (ASJC) codes

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