Phases of SO(Nc) gauge theories with flavors

Ahn, Changhyun; Feng, Bo; Ookouchi, Yutaka

doi:10.1016/j.nuclphysb.2003.10.007

Cited by 8 publications

(94 citation statements)

References 63 publications

(292 reference statements)

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“…Let us demonstrate these general features (2.2) explicitly by comparing them with the results from strong-coupling approach obtained in [19] already. Let us consider SO(N) gauge theories with N f (≤ N − 3) flavors where N = 4, 5, 6, 7, 8 or 9.…”

Section: Introductionmentioning

confidence: 71%

“…Since we are considering an asymptotic free theory, we restrict the number of flavors N f to satisfy the condition N f < N − 2. As already clarified in [19], the relation between W 3 (x) = x (x 2 + m) and F 6 (x) corresponding to an N = 1 matrix model curve is characterized by…”

Section: Introductionmentioning

confidence: 89%

“…Therefore, the massless case and the massive case are quite different from each other (One cannot obtain the massless case as we take the zero limit of the flavor mass in the massive case). As discussed in [19,20], the massless flavors are charged under the factor SO(N 0 ), while the massive flavors are charged under the factor U(N 1 ) in the breaking pattern SO(N) → SO(N 0 ) × U(N 1 ). 5 The organization of this paper is as follows.…”

Section: Introductionmentioning

confidence: 99%

“…By using this fact and performing the equation of motion for glueball field, we obtain a general matrix curve for SO(N) theory. Moreover, we discuss r-Higgs branch discussed in [26,27,28,19,20,6] in the context of glueball approach. To obtain a general matrix model curve for this branch we follow the discussion given in [6] about contour of integrals under the change of mass parameter and finally obtain the effective superpotential for the branch.…”

Section: Introductionmentioning

confidence: 99%

“…That is, N − N f = 5. The factorization problem [19] resulted in the matrix model curve y m 2 = x 2 (x 2 − α 2 ) 2 − 4Λ 6 . There exists a symmetry breaking SO(6) → SO(4) × U (1).…”

Section: Introductionmentioning

confidence: 99%

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More onN=1 Matrix Model Curve for ArbitraryN

Ahn

Ookouchi

2004

J. High Energy Phys.

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Using both the matrix model prescription and the strong-coupling approach, we describe the intersections of n = 0 and n = 1 non-degenerated branches for quartic (polynomial of adjoint matter) tree-level superpotential in N = 1 supersymmetric SO(N)/USp(2N) gauge theories with massless flavors. We also apply the method to the degenerated branch. The general matrix model curve on the two cases we obtain is valid for arbitrary N and extends the previous work from strong-coupling approach. For SO(N) gauge theory with equal massive flavors, we also obtain the matrix model curve on the degenerated branch for arbitrary N. Finally we discuss on the intersections of n = 0 and n = 1 non-degenerated branches for equal massive flavors.

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Section: Introductionmentioning

confidence: 71%

Section: Introductionmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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More onN=1 Matrix Model Curve for ArbitraryN

Ahn

Ookouchi

2004

J. High Energy Phys.

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On low rank classical groups in string theory, gauge theory and matrix models

et al. 2004

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We consider N = 1 supersymmetric U (N ), SO(N ), and Sp(N ) gauge theories, with two-index tensor matter and added tree-level superpotential, for general breaking patterns of the gauge group. By considering the string theory realization and geometric transitions, we clarify when glueball superfields should be included and extremized, or rather set to zero; this issue arises for unbroken group factors of low rank. The string theory results, which are equivalent to those of the matrix model, refer to a particular UV completion of the gauge theory, which could differ from conventional gauge theory results by residual instanton effects. Often, however, these effects exhibit miraculous cancellations, and the string theory or matrix model results end up agreeing with standard gauge theory. In particular, these string theory considerations explain and remove some apparent discrepancies between gauge theories and matrix models in the literature.

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Supersymmetric gauge theories with flavors and matrix models

Ahn¹,

Feng²,

Ookouchi³

et al. 2004

Nuclear Physics B

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We present two results concerning the relation between poles and cuts by using the example of N = 1 U(N c ) gauge theories with matter fields in the adjoint, fundamental and antifundamental representations. The first result is the on-shell possibility of poles, which are associated with flavors and on the second sheet of the Riemann surface, passing through the branch cut and getting to the first sheet. The second result is the generalization of hep-th/0311181 (Intriligator, Kraus, Ryzhov, Shigemori, and Vafa) to include flavors. We clarify when there are closed cuts and how to reproduce the results of the strong coupling analysis by matrix model, by setting the glueball field to zero from the beginning. We also make remarks on the possible stringy explanations of the results and on generalization to SO(N c ) and USp(2N c ) gauge groups.

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Phases of SO(Nc) gauge theories with flavors

Cited by 8 publications

References 63 publications

More onN=1 Matrix Model Curve for ArbitraryN

More onN=1 Matrix Model Curve for ArbitraryN

On low rank classical groups in string theory, gauge theory and matrix models

Supersymmetric gauge theories with flavors and matrix models

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