NonAbelian superconductors: Vortices and confinement in N=2 SQCD - INSPIRE

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NonAbelian superconductors: Vortices and confinement in N=2 SQCD

Roberto Auzzi
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Stefano Bolognesi
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
Jarah Evslin
(
- INFN, Pisa and
- Pisa U.
)
,
Kenichi Konishi
(
- Pisa U. and
- INFN, Pisa and
- Tokyo Inst. Tech.
)
,
Alexei Yung
(
- St. Petersburg, INP and
- INFN, Pisa and
- Moscow, ITEP
)

Jul, 2003

37 pages

Published in:

Nucl.Phys.B 673 (2003) 187-216

e-Print:

hep-th/0307287 [hep-th]

DOI:

10.1016/j.nuclphysb.2003.09.029

Report number:

IFUP-TH-2003-23,
ITEP-TH-42-03,
TIT-HEP-506

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Abstract:

We study nonabelian vortices (flux tubes) in SU(N) gauge theories, which are responsible for the confinement of (nonabelian) magnetic monopoles. In particular a detailed analysis is given of

{\cal N}=2

SQCD with gauge group SU(3) deformed by a small adjoint chiral multiplet mass. Tuning the bare quark masses (which we take to be large) to a common value

m

, we consider a particular vacuum of this theory in which an SU(2) subgroup of the gauge group remains unbroken. We consider

5 \ge N_f \ge 4

flavors so that the SU(2) sub-sector remains non asymptotically free: the vortices carrying nonabelian fluxes may be reliably studied in a semi-classical regime. We show that the vortices indeed acquire exact zero modes which generate global rotations of the flux in an

SU(2)_{C+F}

group. We study an effective world-sheet theory of these orientational zero modes which reduces to an

{\cal N}=2

O(3) sigma model in (1+1) dimensions. Mirror symmetry then teaches us that the dual SU(2) group is not dynamically broken.

Note:

37 pages Latex, 6 eps figures, Typos corrected and a few sentences added or corrected Report-no: IFUP-TH/2003-23, ITEP-TH-42/03, TIT-HEP/506

11.15.-q
11.15.Tk
11.27.+d
11.30.Pb
12.38.Aw
gauge field theory: SU(N)
dimension: 2
supersymmetry
model: superconductivity
vortex: zero mode

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Figures(0)

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