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- Gia Dvali, Mikhail Shifman
- 1996

Domain walls in strongly coupled gauge theories are discussed. A general mechanism is suggested automatically leading to massless gauge bosons localized on the wall. In one of the models considered, outside the wall the theory is in the nonAbelian confining phase, while inside the wall it is in the Abelian Coulomb phase. Confining property of the… (More)

An introduction to the instanton formalism in supersymmetric gauge theories is given. We explain how the instanton calculations, in conjunction with analyticity in chiral parameters and other general properties following from supersymmetry, allow one to establish exact results in the weak and strong coupling regimes. Some key applications are reviewed, the… (More)

- Mikhail Shifman
- 2004

Various dynamical regimes associated with confined monopoles in the Higgs phase of N = 2 two-flavor QCD are studied. The microscopic model we deal with has the SU(2)×U(1) gauge group, with a Fayet-Iliopoulos term of the U(1) factor, and large and (nearly) degenerate mass terms of the matter hypermultiplets. We present a complete quasiclassical treatment of… (More)

We present a detailed analysis of the domain walls in supersymmetric gluodynamics and SQCD. We use the (corrected) Veneziano-Yankielowicz effective Lagrangians to explicitely obtain the wall profiles and check recent results of Ref. [1]: (i) the BPS-saturated nature of the walls; (ii) the exact expressions for the wall energy density which depend only on… (More)

- Mikhail Shifman
- 1997

I give an introductory review of recent, fascinating developments in supersymmetric gauge theories. I explain pedagogically the miraculous properties of supersymmetric gauge dynamics allowing one to obtain exact solutions in many instances. Various dynamical regimes emerging in supersymmetric Quantum Chromodynamics and its generalizations are discussed. I… (More)

We argue that supersymmetric gluodynamics (theory of gluons and gluinos) has a condensate-free phase. Unlike the standard phase, the discrete axial symmetry of the Lagrangian is unbroken in this phase, and the gluino condensate does not develop. Extra unconventional vacua are supersymmetric and are characterized by the presence of (bosonic and fermionic)… (More)

We discuss duality in N = 1 SUSY gauge theories in Seiberg’s conformal window, (3Nc/2) < Nf < 3Nc. The ’t Hooft consistency conditions – the basic tool for establishing the infrared duality – are considered taking into account higher order α corrections. The conserved (anomaly free) R current is built to all orders in α. Although this current contains all… (More)

- Mikhail Shifman
- 2007

In the last decade it became clear that methods and techniques based on supersymmetry provide deep insights in quantum chromodynamics and other supersymmetric and non-supersymmetric gauge theories at strong coupling. In this review we summarize major advances in the critical (Bogomol’nyi– Prasad–Sommerfeld-saturated, BPS for short) solitons in… (More)

- Gia Dvali, Mikhail Shifman
- 1996

Supersymmetry breaking and compactification of extra space-time dimensions may have a common dynamical origin if our Universe is spontaneously generated in the form of a four-dimensional topological or non-topological defect in higherdimensional space-time. Within such an approach the conventional particles are zero modes trapped in the core of the defect.… (More)

We construct effective Lagrangians of the Veneziano-Yankielowicz (VY) type for two non-supersymmetric theories which are orientifold daughters of supersymmetric gluodynamics (containing one Dirac fermion in the two-index antisymmetric or symmetric representation of the gauge group). Since the parent and daughter theories are planar equivalent, at N → ∞ the… (More)