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 |
---|---|---|---|---|---|---|---|---|---|
55787 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_2q_1q_3$ + $ \phi_1q_2q_3$ + $ \phi_1\tilde{q}_1^2$ | 0.8689 | 1.0725 | 0.8102 | [X:[], M:[0.6921, 0.6921], q:[0.5721, 0.7358, 0.7358], qb:[0.7358, 0.5534, 0.5534], phi:[0.5284]] | [X:[], M:[[1, -7, 1, 1], [-1, -5, 1, 1]], q:[[0, 5, -1, -1], [-1, 2, 0, 0], [1, 0, 0, 0]], qb:[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], phi:[[0, -2, 0, 0]]] | 4 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ \phi_1^2$, $ \tilde{q}_2\tilde{q}_3$, $ q_1\tilde{q}_3$, $ q_3\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ q_3\tilde{q}_1$, $ q_2q_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ \phi_1q_1\tilde{q}_3$, $ \phi_1q_1^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_1\tilde{q}_2\tilde{q}_3$, $ M_2\tilde{q}_2\tilde{q}_3$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_3\tilde{q}_2$, $ M_1q_3\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2q_3\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$ | $\phi_1q_2^2$, $ \phi_1q_3^2$ | -6 | 2*t^2.08 + t^3.17 + t^3.32 + 2*t^3.38 + 6*t^3.87 + t^3.92 + 3*t^4.15 + 3*t^4.41 + 3*t^4.91 + 2*t^4.96 + t^5.02 + 2*t^5.25 + 2*t^5.4 + 4*t^5.45 + 10*t^5.94 - 6*t^6. - 2*t^6.06 + 4*t^6.23 + t^6.34 + 4*t^6.49 - 4*t^6.55 + t^6.64 + 2*t^6.7 + 3*t^6.75 + 6*t^6.98 + 4*t^7.04 + 6*t^7.19 + 10*t^7.24 + 2*t^7.3 + 3*t^7.32 + 3*t^7.47 + 4*t^7.53 - 4*t^7.59 - 2*t^7.64 + 18*t^7.74 + 4*t^7.79 + 14*t^8.02 - 10*t^8.08 - 2*t^8.13 + t^8.19 + 3*t^8.23 + 16*t^8.28 + 5*t^8.31 + 3*t^8.34 + 2*t^8.39 + 2*t^8.42 + 6*t^8.57 - 6*t^8.62 + 3*t^8.68 + 2*t^8.72 + 16*t^8.77 + 9*t^8.83 + 2*t^8.89 + t^8.94 - t^4.59/y - (2*t^6.66)/y + t^7.15/y + t^7.41/y - t^7.76/y + (2*t^8.25)/y + (2*t^8.4)/y + (4*t^8.45)/y + (2*t^8.51)/y - (3*t^8.74)/y + (12*t^8.94)/y - t^4.59*y - 2*t^6.66*y + t^7.15*y + t^7.41*y - t^7.76*y + 2*t^8.25*y + 2*t^8.4*y + 4*t^8.45*y + 2*t^8.51*y - 3*t^8.74*y + 12*t^8.94*y | (g1*g3*g4*t^2.08)/g2^7 + (g3*g4*t^2.08)/(g1*g2^5) + t^3.17/g2^4 + g3*g4*t^3.32 + (g2^5*t^3.38)/g3 + (g2^5*t^3.38)/g4 + g1*g3*t^3.87 + g2*g3*t^3.87 + (g2^2*g3*t^3.87)/g1 + g1*g4*t^3.87 + g2*g4*t^3.87 + (g2^2*g4*t^3.87)/g1 + (g2^6*t^3.92)/(g3*g4) + (g1^2*g3^2*g4^2*t^4.15)/g2^14 + (g3^2*g4^2*t^4.15)/g2^12 + (g3^2*g4^2*t^4.15)/(g1^2*g2^10) + g1*g2*t^4.41 + g2^2*t^4.41 + (g2^3*t^4.41)/g1 + (g3^2*t^4.91)/g2^2 + (g3*g4*t^4.91)/g2^2 + (g4^2*t^4.91)/g2^2 + (g2^3*t^4.96)/g3 + (g2^3*t^4.96)/g4 + (g2^8*t^5.02)/(g3^2*g4^2) + (g1*g3*g4*t^5.25)/g2^11 + (g3*g4*t^5.25)/(g1*g2^9) + (g1*g3^2*g4^2*t^5.4)/g2^7 + (g3^2*g4^2*t^5.4)/(g1*g2^5) + (g3*t^5.45)/g1 + (g1*g3*t^5.45)/g2^2 + (g4*t^5.45)/g1 + (g1*g4*t^5.45)/g2^2 + (g1^2*g3^2*g4*t^5.94)/g2^7 + (g1*g3^2*g4*t^5.94)/g2^6 + (g3^2*g4*t^5.94)/g2^5 + (g3^2*g4*t^5.94)/(g1*g2^4) + (g3^2*g4*t^5.94)/(g1^2*g2^3) + (g1^2*g3*g4^2*t^5.94)/g2^7 + (g1*g3*g4^2*t^5.94)/g2^6 + (g3*g4^2*t^5.94)/g2^5 + (g3*g4^2*t^5.94)/(g1*g2^4) + (g3*g4^2*t^5.94)/(g1^2*g2^3) - 4*t^6. - (g3*t^6.)/g4 - (g4*t^6.)/g3 - (g2^5*t^6.06)/(g3*g4^2) - (g2^5*t^6.06)/(g3^2*g4) + (g1^3*g3^3*g4^3*t^6.23)/g2^21 + (g1*g3^3*g4^3*t^6.23)/g2^19 + (g3^3*g4^3*t^6.23)/(g1*g2^17) + (g3^3*g4^3*t^6.23)/(g1^3*g2^15) + t^6.34/g2^8 + (g1^2*g3*g4*t^6.49)/g2^6 + (2*g3*g4*t^6.49)/g2^4 + (g3*g4*t^6.49)/(g1^2*g2^2) - (g1*t^6.55)/g3 - (g2^2*t^6.55)/(g1*g3) - (g1*t^6.55)/g4 - (g2^2*t^6.55)/(g1*g4) + g3^2*g4^2*t^6.64 + g2^5*g3*t^6.7 + g2^5*g4*t^6.7 + (g2^10*t^6.75)/g3^2 + (g2^10*t^6.75)/g4^2 + (g2^10*t^6.75)/(g3*g4) + (g1*g3^3*g4*t^6.98)/g2^9 + (g3^3*g4*t^6.98)/(g1*g2^7) + (g1*g3^2*g4^2*t^6.98)/g2^9 + (g3^2*g4^2*t^6.98)/(g1*g2^7) + (g1*g3*g4^3*t^6.98)/g2^9 + (g3*g4^3*t^6.98)/(g1*g2^7) + (g1*g3*t^7.04)/g2^4 + (g3*t^7.04)/(g1*g2^2) + (g1*g4*t^7.04)/g2^4 + (g4*t^7.04)/(g1*g2^2) + g1*g3^2*g4*t^7.19 + g2*g3^2*g4*t^7.19 + (g2^2*g3^2*g4*t^7.19)/g1 + g1*g3*g4^2*t^7.19 + g2*g3*g4^2*t^7.19 + (g2^2*g3*g4^2*t^7.19)/g1 + g1*g2^5*t^7.24 + 2*g2^6*t^7.24 + (g2^7*t^7.24)/g1 + (g1*g2^5*g3*t^7.24)/g4 + (g2^6*g3*t^7.24)/g4 + (g2^7*g3*t^7.24)/(g1*g4) + (g1*g2^5*g4*t^7.24)/g3 + (g2^6*g4*t^7.24)/g3 + (g2^7*g4*t^7.24)/(g1*g3) + (g2^11*t^7.3)/(g3*g4^2) + (g2^11*t^7.3)/(g3^2*g4) + (g1^2*g3^2*g4^2*t^7.32)/g2^18 + (g3^2*g4^2*t^7.32)/g2^16 + (g3^2*g4^2*t^7.32)/(g1^2*g2^14) + (g1^2*g3^3*g4^3*t^7.47)/g2^14 + (g3^3*g4^3*t^7.47)/g2^12 + (g3^3*g4^3*t^7.47)/(g1^2*g2^10) + (g1^2*g3^2*g4*t^7.53)/g2^9 + (g3^2*g4*t^7.53)/(g1^2*g2^5) + (g1^2*g3*g4^2*t^7.53)/g2^9 + (g3*g4^2*t^7.53)/(g1^2*g2^5) - (2*t^7.59)/g2^2 - (g3*t^7.59)/(g2^2*g4) - (g4*t^7.59)/(g2^2*g3) - (g2^3*t^7.64)/(g3*g4^2) - (g2^3*t^7.64)/(g3^2*g4) + g1^2*g3^2*t^7.74 + g1*g2*g3^2*t^7.74 + g2^2*g3^2*t^7.74 + (g2^3*g3^2*t^7.74)/g1 + (g2^4*g3^2*t^7.74)/g1^2 + g1^2*g3*g4*t^7.74 + 2*g1*g2*g3*g4*t^7.74 + 2*g2^2*g3*g4*t^7.74 + (2*g2^3*g3*g4*t^7.74)/g1 + (g2^4*g3*g4*t^7.74)/g1^2 + g1^2*g4^2*t^7.74 + g1*g2*g4^2*t^7.74 + g2^2*g4^2*t^7.74 + (g2^3*g4^2*t^7.74)/g1 + (g2^4*g4^2*t^7.74)/g1^2 + (g1*g2^6*t^7.79)/g3 + (g2^8*t^7.79)/(g1*g3) + (g1*g2^6*t^7.79)/g4 + (g2^8*t^7.79)/(g1*g4) + (g1^3*g3^3*g4^2*t^8.02)/g2^14 + (g1^2*g3^3*g4^2*t^8.02)/g2^13 + (g1*g3^3*g4^2*t^8.02)/g2^12 + (g3^3*g4^2*t^8.02)/g2^11 + (g3^3*g4^2*t^8.02)/(g1*g2^10) + (g3^3*g4^2*t^8.02)/(g1^2*g2^9) + (g3^3*g4^2*t^8.02)/(g1^3*g2^8) + (g1^3*g3^2*g4^3*t^8.02)/g2^14 + (g1^2*g3^2*g4^3*t^8.02)/g2^13 + (g1*g3^2*g4^3*t^8.02)/g2^12 + (g3^2*g4^3*t^8.02)/g2^11 + (g3^2*g4^3*t^8.02)/(g1*g2^10) + (g3^2*g4^3*t^8.02)/(g1^2*g2^9) + (g3^2*g4^3*t^8.02)/(g1^3*g2^8) - (g1*g3^2*t^8.08)/g2^7 + (g3^2*t^8.08)/g2^6 - (g3^2*t^8.08)/(g1*g2^5) - (4*g1*g3*g4*t^8.08)/g2^7 - (4*g3*g4*t^8.08)/(g1*g2^5) - (g1*g4^2*t^8.08)/g2^7 + (g4^2*t^8.08)/g2^6 - (g4^2*t^8.08)/(g1*g2^5) - t^8.13/(g1*g3) - (g1*t^8.13)/(g2^2*g3) + t^8.13/(g2*g3) - t^8.13/(g1*g4) - (g1*t^8.13)/(g2^2*g4) + t^8.13/(g2*g4) + (g2^4*t^8.19)/(g3^2*g4^2) + (g3^3*g4*t^8.23)/g2^2 + (g3^2*g4^2*t^8.23)/g2^2 + (g3*g4^3*t^8.23)/g2^2 + g1^2*g2*g3*t^8.28 + g1*g2^2*g3*t^8.28 + 3*g2^3*g3*t^8.28 + (g2^4*g3*t^8.28)/g1 + (g2^5*g3*t^8.28)/g1^2 + (g2^3*g3^2*t^8.28)/g4 + g1^2*g2*g4*t^8.28 + g1*g2^2*g4*t^8.28 + 3*g2^3*g4*t^8.28 + (g2^4*g4*t^8.28)/g1 + (g2^5*g4*t^8.28)/g1^2 + (g2^3*g4^2*t^8.28)/g3 + (g1^4*g3^4*g4^4*t^8.31)/g2^28 + (g1^2*g3^4*g4^4*t^8.31)/g2^26 + (g3^4*g4^4*t^8.31)/g2^24 + (g3^4*g4^4*t^8.31)/(g1^2*g2^22) + (g3^4*g4^4*t^8.31)/(g1^4*g2^20) + (g2^8*t^8.34)/g3^2 + (g2^8*t^8.34)/g4^2 + (g2^8*t^8.34)/(g3*g4) + (g2^13*t^8.39)/(g3^2*g4^3) + (g2^13*t^8.39)/(g3^3*g4^2) + (g1*g3*g4*t^8.42)/g2^15 + (g3*g4*t^8.42)/(g1*g2^13) + (g1^3*g3^2*g4^2*t^8.57)/g2^13 + (2*g1*g3^2*g4^2*t^8.57)/g2^11 + (2*g3^2*g4^2*t^8.57)/(g1*g2^9) + (g3^2*g4^2*t^8.57)/(g1^3*g2^7) - (g1^2*g3*t^8.62)/g2^7 - (g3*t^8.62)/g2^5 - (g3*t^8.62)/(g1^2*g2^3) - (g1^2*g4*t^8.62)/g2^7 - (g4*t^8.62)/g2^5 - (g4*t^8.62)/(g1^2*g2^3) + t^8.68/g3^2 + t^8.68/g4^2 + t^8.68/(g3*g4) + (g1*g3^3*g4^3*t^8.72)/g2^7 + (g3^3*g4^3*t^8.72)/(g1*g2^5) + (g3^3*t^8.77)/g1 + (g1*g3^3*t^8.77)/g2^2 + (g3^3*t^8.77)/g2 + (2*g3^2*g4*t^8.77)/g1 + (2*g1*g3^2*g4*t^8.77)/g2^2 + (g3^2*g4*t^8.77)/g2 + (2*g3*g4^2*t^8.77)/g1 + (2*g1*g3*g4^2*t^8.77)/g2^2 + (g3*g4^2*t^8.77)/g2 + (g4^3*t^8.77)/g1 + (g1*g4^3*t^8.77)/g2^2 + (g4^3*t^8.77)/g2 + g1*g2^3*t^8.83 + g2^4*t^8.83 + (g2^5*t^8.83)/g1 + (g1*g2^3*g3*t^8.83)/g4 + (g2^4*g3*t^8.83)/g4 + (g2^5*g3*t^8.83)/(g1*g4) + (g1*g2^3*g4*t^8.83)/g3 + (g2^4*g4*t^8.83)/g3 + (g2^5*g4*t^8.83)/(g1*g3) + (g2^9*t^8.89)/(g3*g4^2) + (g2^9*t^8.89)/(g3^2*g4) + (g2^14*t^8.94)/(g3^3*g4^3) - t^4.59/(g2^2*y) - (g1*g3*g4*t^6.66)/(g2^9*y) - (g3*g4*t^6.66)/(g1*g2^7*y) + (g3^2*g4^2*t^7.15)/(g2^12*y) + (g2^2*t^7.41)/y - t^7.76/(g2^6*y) + (g1*g3*g4*t^8.25)/(g2^11*y) + (g3*g4*t^8.25)/(g1*g2^9*y) + (g1*g3^2*g4^2*t^8.4)/(g2^7*y) + (g3^2*g4^2*t^8.4)/(g1*g2^5*y) + (g3*t^8.45)/(g1*y) + (g1*g3*t^8.45)/(g2^2*y) + (g4*t^8.45)/(g1*y) + (g1*g4*t^8.45)/(g2^2*y) + (g1*g2^3*t^8.51)/(g3*g4*y) + (g2^5*t^8.51)/(g1*g3*g4*y) - (g1^2*g3^2*g4^2*t^8.74)/(g2^16*y) - (g3^2*g4^2*t^8.74)/(g2^14*y) - (g3^2*g4^2*t^8.74)/(g1^2*g2^12*y) + (g1^2*g3^2*g4*t^8.94)/(g2^7*y) + (g1*g3^2*g4*t^8.94)/(g2^6*y) + (2*g3^2*g4*t^8.94)/(g2^5*y) + (g3^2*g4*t^8.94)/(g1*g2^4*y) + (g3^2*g4*t^8.94)/(g1^2*g2^3*y) + (g1^2*g3*g4^2*t^8.94)/(g2^7*y) + (g1*g3*g4^2*t^8.94)/(g2^6*y) + (2*g3*g4^2*t^8.94)/(g2^5*y) + (g3*g4^2*t^8.94)/(g1*g2^4*y) + (g3*g4^2*t^8.94)/(g1^2*g2^3*y) - (t^4.59*y)/g2^2 - (g1*g3*g4*t^6.66*y)/g2^9 - (g3*g4*t^6.66*y)/(g1*g2^7) + (g3^2*g4^2*t^7.15*y)/g2^12 + g2^2*t^7.41*y - (t^7.76*y)/g2^6 + (g1*g3*g4*t^8.25*y)/g2^11 + (g3*g4*t^8.25*y)/(g1*g2^9) + (g1*g3^2*g4^2*t^8.4*y)/g2^7 + (g3^2*g4^2*t^8.4*y)/(g1*g2^5) + (g3*t^8.45*y)/g1 + (g1*g3*t^8.45*y)/g2^2 + (g4*t^8.45*y)/g1 + (g1*g4*t^8.45*y)/g2^2 + (g1*g2^3*t^8.51*y)/(g3*g4) + (g2^5*t^8.51*y)/(g1*g3*g4) - (g1^2*g3^2*g4^2*t^8.74*y)/g2^16 - (g3^2*g4^2*t^8.74*y)/g2^14 - (g3^2*g4^2*t^8.74*y)/(g1^2*g2^12) + (g1^2*g3^2*g4*t^8.94*y)/g2^7 + (g1*g3^2*g4*t^8.94*y)/g2^6 + (2*g3^2*g4*t^8.94*y)/g2^5 + (g3^2*g4*t^8.94*y)/(g1*g2^4) + (g3^2*g4*t^8.94*y)/(g1^2*g2^3) + (g1^2*g3*g4^2*t^8.94*y)/g2^7 + (g1*g3*g4^2*t^8.94*y)/g2^6 + (2*g3*g4^2*t^8.94*y)/g2^5 + (g3*g4^2*t^8.94*y)/(g1*g2^4) + (g3*g4^2*t^8.94*y)/(g1^2*g2^3) |
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 |
---|---|---|---|---|---|---|---|---|---|
55597 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_2q_1q_3$ + $ \phi_1q_2q_3$ | 0.8849 | 1.096 | 0.8074 | [X:[], M:[0.6768, 0.6768], q:[0.5964, 0.7269, 0.7269], qb:[0.5882, 0.5882, 0.5882], phi:[0.5463]] | 2*t^2.03 + t^3.28 + 3*t^3.53 + 3*t^3.55 + 6*t^3.95 + 3*t^4.06 + t^4.36 + 6*t^5.17 + 3*t^5.19 + t^5.22 + 2*t^5.31 + 6*t^5.56 + 6*t^5.58 + 9*t^5.98 - 11*t^6. - t^4.64/y - t^4.64*y | detail |