Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
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55725 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1q_2q_3$ + $ \phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1$ | 0.6752 | 0.8043 | 0.8394 | [X:[], M:[0.8444], q:[1.1911, 0.4268, 0.7288], qb:[0.8089, 0.658, 0.658], phi:[0.3821]] | [X:[], M:[[-8, 1, 1]], q:[[-1, 0, 0], [3, 0, 0], [5, -1, -1]], qb:[[1, 0, 0], [0, 1, 0], [0, 0, 1]], phi:[[-2, 0, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$\phi_1^2$, $ M_1$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \tilde{q}_2\tilde{q}_3$, $ q_3\tilde{q}_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ q_3\tilde{q}_1$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_3^2$, $ q_1\tilde{q}_2$ | . | -5 | t^2.29 + t^2.53 + 2*t^3.25 + t^3.71 + t^3.95 + 2*t^4.16 + 2*t^4.4 + t^4.59 + t^4.61 + t^4.83 + t^5.07 + 2*t^5.09 + t^5.52 + 2*t^5.55 - 5*t^6. - 2*t^6.21 + t^6.24 + t^6.48 + 3*t^6.51 + 2*t^6.69 + t^6.88 + 2*t^6.96 + t^7.12 - 4*t^7.15 + 2*t^7.2 - t^7.36 + 2*t^7.39 + 3*t^7.41 + t^7.6 + 3*t^7.63 + 4*t^7.66 + t^7.81 + 2*t^7.84 + 2*t^7.87 + t^7.9 + 3*t^8.05 + 2*t^8.11 - 5*t^8.29 + 3*t^8.32 + 4*t^8.35 - 2*t^8.51 - 4*t^8.53 + 3*t^8.77 + 2*t^8.8 + 2*t^8.99 - t^4.15/y - t^6.44/y - t^6.68/y + t^7.61/y + t^7.83/y + t^7.85/y + (2*t^8.55)/y - t^8.73/y + (2*t^8.79)/y - t^8.97/y - t^4.15*y - t^6.44*y - t^6.68*y + t^7.61*y + t^7.83*y + t^7.85*y + 2*t^8.55*y - t^8.73*y + 2*t^8.79*y - t^8.97*y | t^2.29/g1^4 + (g2*g3*t^2.53)/g1^8 + g1^3*g2*t^3.25 + g1^3*g3*t^3.25 + g1^4*t^3.71 + g2*g3*t^3.95 + (g1^5*t^4.16)/g2 + (g1^5*t^4.16)/g3 + g1*g2*t^4.4 + g1*g3*t^4.4 + t^4.59/g1^8 + (g1^6*t^4.61)/(g2*g3) + (g2*g3*t^4.83)/g1^12 + (g2^2*g3^2*t^5.07)/g1^16 + (g2^2*t^5.09)/g1^2 + (g3^2*t^5.09)/g1^2 + (g1^8*t^5.52)/(g2^2*g3^2) + (g2*t^5.55)/g1 + (g3*t^5.55)/g1 - 3*t^6. - (g2*t^6.)/g3 - (g3*t^6.)/g2 - (g1^5*t^6.21)/(g2*g3^2) - (g1^5*t^6.21)/(g2^2*g3) + (g2*g3*t^6.24)/g1^4 + (g2^2*g3^2*t^6.48)/g1^8 + g1^6*g2^2*t^6.51 + g1^6*g2*g3*t^6.51 + g1^6*g3^2*t^6.51 + (g2*t^6.69)/g1^3 + (g3*t^6.69)/g1^3 + t^6.88/g1^12 + g1^7*g2*t^6.96 + g1^7*g3*t^6.96 + (g2*g3*t^7.12)/g1^16 - (2*t^7.15)/g1^2 - (g2*t^7.15)/(g1^2*g3) - (g3*t^7.15)/(g1^2*g2) + g1^3*g2^2*g3*t^7.2 + g1^3*g2*g3^2*t^7.2 - (g1^3*t^7.36)/(g2*g3^2) - (g1^3*t^7.36)/(g2^2*g3) + (g2^2*g3^2*t^7.36)/g1^20 + (g2^2*t^7.39)/g1^6 + (g3^2*t^7.39)/g1^6 + g1^8*t^7.41 + (g1^8*g2*t^7.41)/g3 + (g1^8*g3*t^7.41)/g2 + (g2^3*g3^3*t^7.6)/g1^24 + (g2^3*g3*t^7.63)/g1^10 + (g2^2*g3^2*t^7.63)/g1^10 + (g2*g3^3*t^7.63)/g1^10 + g1^4*g2^2*t^7.66 + 2*g1^4*g2*g3*t^7.66 + g1^4*g3^2*t^7.66 + (g1^4*t^7.81)/(g2^2*g3^2) + (g2*t^7.84)/g1^5 + (g3*t^7.84)/g1^5 + (g1^9*t^7.87)/g2 + (g1^9*t^7.87)/g3 + g2^2*g3^2*t^7.9 + t^8.05/g2^2 + t^8.05/g3^2 + t^8.05/(g2*g3) + g1^5*g2*t^8.11 + g1^5*g3*t^8.11 - (3*t^8.29)/g1^4 - (g2*t^8.29)/(g1^4*g3) - (g3*t^8.29)/(g1^4*g2) + (g1^10*t^8.32)/g2^2 + (g1^10*t^8.32)/g3^2 + (g1^10*t^8.32)/(g2*g3) + g1*g2^3*t^8.35 + g1*g2^2*g3*t^8.35 + g1*g2*g3^2*t^8.35 + g1*g3^3*t^8.35 - (g1*t^8.51)/(g2*g3^2) - (g1*t^8.51)/(g2^2*g3) - (g2^2*t^8.53)/g1^8 - (2*g2*g3*t^8.53)/g1^8 - (g3^2*t^8.53)/g1^8 + (g1^11*t^8.77)/(g2*g3^2) + (g1^11*t^8.77)/(g2^2*g3) + (g2^2*g3^2*t^8.77)/g1^12 + g1^2*g2^2*t^8.8 + g1^2*g3^2*t^8.8 + (g2*t^8.99)/g1^7 + (g3*t^8.99)/g1^7 - t^4.15/(g1^2*y) - t^6.44/(g1^6*y) - (g2*g3*t^6.68)/(g1^10*y) + (g1^6*t^7.61)/(g2*g3*y) + (g2*g3*t^7.83)/(g1^12*y) + (g1^2*t^7.85)/y + (g2*t^8.55)/(g1*y) + (g3*t^8.55)/(g1*y) - t^8.73/(g1^10*y) + (g2^2*g3*t^8.79)/(g1^5*y) + (g2*g3^2*t^8.79)/(g1^5*y) - (g2*g3*t^8.97)/(g1^14*y) - (t^4.15*y)/g1^2 - (t^6.44*y)/g1^6 - (g2*g3*t^6.68*y)/g1^10 + (g1^6*t^7.61*y)/(g2*g3) + (g2*g3*t^7.83*y)/g1^12 + g1^2*t^7.85*y + (g2*t^8.55*y)/g1 + (g3*t^8.55*y)/g1 - (t^8.73*y)/g1^10 + (g2^2*g3*t^8.79*y)/g1^5 + (g2*g3^2*t^8.79*y)/g1^5 - (g2*g3*t^8.97*y)/g1^14 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
55678 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1q_2q_3$ + $ \phi_1\tilde{q}_1^2$ | 0.8484 | 1.0335 | 0.8208 | [X:[], M:[0.6937], q:[0.7263, 0.7425, 0.5638], qb:[0.7344, 0.554, 0.554], phi:[0.5312]] | t^2.08 + t^3.19 + t^3.32 + 2*t^3.35 + 2*t^3.84 + 3*t^3.87 + 3*t^3.89 + t^4.16 + t^4.38 + t^4.41 + t^4.43 + 3*t^4.92 + 2*t^4.95 + t^4.98 + t^5.27 + t^5.41 + 2*t^5.43 + 2*t^5.92 + 3*t^5.95 - 6*t^6. - t^4.59/y - t^4.59*y | detail |