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BIBLIOGRAPHY [114] T. Banks and A. Zaks, “On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions,” Nucl. Phys., vol. B196, p. 189, 1982. [115] N. Seiberg, “Exact results on the space of vacua of four-dimensional SUSY gauge theories,” Phys. Rev., vol. D49, pp. 6857–6863, 1994. [116] N. Seiberg, “Electric - magnetic duality in supersymmetric nonAbelian gauge theories,” Nucl. Phys., vol. B435, pp. 129–146, 1995. [117] E. Barnes, K. A. Intriligator, B. Wecht, and J. Wright, “Evidence for the strongest version of the 4d a-theorem, via a-maximization along RG flows,” Nucl. Phys., vol. B702, pp. 131– 162, 2004. [118] E. Witten, “Dynamical Breaking of Supersymmetry,” Nucl.Phys., vol. B188, p. 513, 1981. [119] A. E. Nelson and N. Seiberg, “R symmetry breaking versus supersymmetry breaking,” Nucl. Phys., vol. B416, pp. 46–62, 1994. [120] K. A. Intriligator, N. Seiberg, and D. Shih, “Dynamical SUSY breaking in meta-stable vacua,” JHEP, vol. 04, p. 021, 2006. [121] A. Amariti, L. Girardello, A. Mariotti, and M. Siani, “Metastable Vacua in Superconformal SQCD-like Theories,” 2010. * Temporary entry *. [122] J. Polonyi, “Generalization of the Massive Scalar Multiplet Coupling to the Supergravity,” 1977. [123] L. O’Raifeartaigh, “Spontaneous Symmetry Breaking for Chiral Scalar Superfields,” Nucl.Phys., vol. B96, p. 331, 1975. [124] S. R. Coleman and E. J. Weinberg, “Radiative Corrections as the Origin of Spontaneous Symmetry Breaking,” Phys.Rev., vol. D7, pp. 1888–1910, 1973. [125] S. R. Coleman, “The Fate of the False Vacuum. 1. Semiclassical Theory,” Phys.Rev., vol. D15, pp. 2929–2936, 1977. [126] M. J. Duncan and L. G. Jensen, “Exact tunneling solutions in scalar field theory,” Phys. Lett., vol. B291, pp. 109–114, 1992. [127] D. Poland and D. Simmons-Duffin, “Superconformal Flavor Simplified,” JHEP, vol. 05, p. 079, 2010. [128] S. Franco and A. M. . Uranga, “Dynamical SUSY breaking at meta-stable minima from Dbranes at obstructed geometries,” JHEP, vol. 06, p. 031, 2006. [129] A. Amariti, L. Girardello, and A. Mariotti, “Pseudomoduli Dark Matter and Quiver Gauge Theories,” JHEP, vol. 07, p. 072, 2010. [130] K. A. Intriligator and B. Wecht, “The exact superconformal R-symmetry maximizes a,” Nucl. Phys., vol. B667, pp. 183–200, 2003. 210
BIBLIOGRAPHY [131] R. Argurio, M. Bertolini, S. Franco, and S. Kachru, “Metastable vacua and D-branes at the conifold,” JHEP, vol. 06, p. 017, 2007. [132] O. Aharony, S. Kachru, and E. Silverstein, “Simple Stringy Dynamical SUSY Breaking,” Phys. Rev., vol. D76, p. 126009, 2007. [133] M. Schmaltz and R. Sundrum, “Conformal sequestering simplified,” JHEP, vol. 11, p. 011, 2006. [134] A. E. Nelson and M. J. Strassler, “Exact results for supersymmetric renormalization and the supersymmetric flavor problem,” JHEP, vol. 07, p. 021, 2002. [135] A. E. Nelson and M. J. Strassler, “Suppressing flavor anarchy,” JHEP, vol. 09, p. 030, 2000. [136] O. Aharony, L. Berdichevsky, M. Berkooz, Y. Hochberg, and D. Robles-Llana, “Inverted Sparticle Hierarchies from Natural Particle Hierarchies,” Phys. Rev., vol. D81, p. 085006, 2010. [137] D. Shih, “Spontaneous R-symmetry breaking in O’Raifeartaigh models,” JHEP, vol. 02, p. 091, 2008. [138] L. M. Carpenter, M. Dine, G. Festuccia, and J. D. Mason, “Implementing General Gauge Mediation,” Phys. Rev., vol. D79, p. 035002, 2009. [139] E. Witten, “Supersymmetric index of three-dimensional gauge theory,” 1999. [140] O. Bergman, A. Hanany, A. Karch, and B. Kol, “Branes and supersymmetry breaking in 3D gauge theories,” JHEP, vol. 10, p. 036, 1999. [141] J. de Boer, K. Hori, and Y. Oz, “Dynamics of N = 2 supersymmetric gauge theories in three dimensions,” Nucl. Phys., vol. B500, pp. 163–191, 1997. [142] O. Aharony, A. Hanany, K. A. Intriligator, N. Seiberg, and M. J. Strassler, “Aspects of N = 2 supersymmetric gauge theories in three dimensions,” Nucl. Phys., vol. B499, pp. 67–99, 1997. [143] A. Giveon and D. Kutasov, “Seiberg Duality in Chern-Simons Theory,” Nucl. Phys., vol. B812, pp. 1–11, 2009. [144] V. Niarchos, “Seiberg Duality in Chern-Simons Theories with Fundamental and Adjoint Matter,” JHEP, vol. 11, p. 001, 2008. [145] A. Amariti, D. Forcella, L. Girardello, and A. Mariotti, “3D Seiberg-like Dualities and M2 Branes,” JHEP, vol. 05, p. 025, 2010. [146] A. Armoni, A. Giveon, D. Israel, and V. Niarchos, “Brane Dynamics and 3D Seiberg Duality on the Domain Walls of 4D N=1 SYM,” JHEP, vol. 07, p. 061, 2009. 211
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Università degli Studi di Milano-B
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Riassunto della tesi dimensionale.
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CONTENTS 4.3.2 The superpotential p
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List of Figures 3.1 New vertices pr
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Introduction and outline The advent
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Introduction and outline nonanticom
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Part I Nonanticommutative theories
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1. Basics and motivations ingredien
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1. Basics and motivations to obtain
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1. Basics and motivations 8
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2. Nonanticommutative superspace wh
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2. Nonanticommutative superspace wh
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2. Nonanticommutative superspace op
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3. The Wess-Zumino model We stress
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3. The Wess-Zumino model Φ 2 Φ U
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3. The Wess-Zumino model dim U(1)R
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3. The Wess-Zumino model • ω2 =
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4. Gauge theories ever, a modified
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4. Gauge theories They can be expre
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4. Gauge theories of the U(1) field
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4. Gauge theories and the pure gaug
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4. Gauge theories Since for the chi
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4. Gauge theories Figure 4.1: Gauge
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4. Gauge theories 4.2.2 Three-point
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4. Gauge theories 4.2.4 (Super)gaug
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4. Gauge theories and supergauge in
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4. Gauge theories where the trace o
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4. Gauge theories Figure 4.4: One-l
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4. Gauge theories fore, one-loop re
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4. Gauge theories α ˙α Γ dim R-
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4. Gauge theories 3. Gauge sector.
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4. Gauge theories We have introduce
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4. Gauge theories the covariant pro
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4. Gauge theories We note that the
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4. Gauge theories satisfy this set
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4. Gauge theories In order to cance
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4. Gauge theories of [22] the most
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4. Gauge theories By direct calcula
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4. Gauge theories pole coefficients
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4. Gauge theories superfields, in m
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4. Gauge theories 70 φ h ∂ Γ (a
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4. Gauge theories is perfectly cons
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4. Gauge theories The system of lin
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4. Gauge theories terms are no long
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4. Gauge theories 78
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Chapter 5 N = 2 Chern-Simons matter
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5.2. Generalizations representation
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5.2. Generalizations The superpoten
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Chapter 6 Quantization, fixed point
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6.1. Quantization of N = 2 Chern-Si
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6.1. Quantization of N = 2 Chern-Si
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6.2. Two-loop renormalization and
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6.2. Two-loop renormalization and
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In order to cancel the divergences
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6.3. The spectrum of fixed points W
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6.3. The spectrum of fixed points F
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addition of flavor matter [83]. The
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6.4. Infrared stability Figure 6.5:
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6.4. Infrared stability Figure 6.6:
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6.5. A relevant perturbation Figure
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6.5. A relevant perturbation This k
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Part III Supersymmetry breaking 113
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7. Basics and motivations where the
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7. Basics and motivations It follow
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7. Basics and motivations • the h
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7. Basics and motivations 122
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8. Supersymmetric QCD and Seiberg d
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9. Non-supersymmetric vacua If we a
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9. Non-supersymmetric vacua The Pol
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9. Non-supersymmetric vacua in the
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9. Non-supersymmetric vacua by what
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9. Non-supersymmetric vacua We saw
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9. Non-supersymmetric vacua jumps f
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9. Non-supersymmetric vacua The bou
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9. Non-supersymmetric vacua where t
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9. Non-supersymmetric vacua The phy
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9. Non-supersymmetric vacua conform
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Page 190 and 191: A. Mathematical tools A.2 Useful in
Page 192 and 193: A. Mathematical tools For SU(N) we
Page 194 and 195: B. Feynman rules as f = ∇ 2 ∗ V
Page 196 and 197: B. Feynman rules Matter sector We n
Page 198 and 199: B. Feynman rules Since terms propor
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Page 202 and 203: B. Feynman rules Here we recognize
Page 204 and 205: B. Feynman rules and contain an inf
Page 206 and 207: B. Feynman rules 192 ∂ φ Γ Γ
Page 208 and 209: C. Details on supersymmetry breakin
Page 218 and 219: BIBLIOGRAPHY [14] S. Penati and A.
Page 220 and 221: BIBLIOGRAPHY [47] M. Van Raamsdonk,
Page 222 and 223: BIBLIOGRAPHY [80] D. Gaiotto and A.
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