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 |
|---|---|---|---|---|---|---|---|---|---|
| 55785 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_2q_1q_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_3$ | 0.8187 | 0.9893 | 0.8276 | [X:[], M:[0.698, 0.9517], q:[0.5294, 0.7726, 0.5189], qb:[0.7621, 0.7621, 0.7516], phi:[0.4758]] | [X:[], M:[[1, -3, -3, 1], [0, -2, -2, 0]], q:[[-1, 2, 2, 0], [0, 1, 1, -1], [1, 0, 0, 0]], qb:[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], phi:[[0, -1, -1, 0]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ \phi_1^2$, $ q_3\tilde{q}_3$, $ q_3\tilde{q}_1$, $ q_1\tilde{q}_3$, $ q_1\tilde{q}_1$, $ q_2q_3$, $ M_1^2$, $ \phi_1q_3^2$, $ \tilde{q}_1\tilde{q}_3$, $ \phi_1q_1q_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_3$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ M_1M_2$, $ M_1\phi_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_1q_3\tilde{q}_3$, $ M_1q_3\tilde{q}_1$, $ \phi_1\tilde{q}_3^2$ | . | -4 | t^2.09 + 2*t^2.85 + t^3.81 + 3*t^3.84 + 3*t^3.87 + t^4.19 + 3*t^4.54 + 3*t^4.57 + 3*t^4.6 + 2*t^4.95 + 3*t^5.71 + t^5.91 + 3*t^5.94 - 4*t^6. - 3*t^6.03 + t^6.28 + 3*t^6.64 + 3*t^6.67 + 3*t^6.7 - 2*t^6.76 + 2*t^7.04 + 3*t^7.4 + 3*t^7.43 + 3*t^7.46 + t^7.62 + 3*t^7.65 + 6*t^7.69 + 6*t^7.72 + 3*t^7.75 + 3*t^7.8 + t^8. + 3*t^8.03 - 4*t^8.09 - 3*t^8.13 + 3*t^8.35 + 10*t^8.38 + 12*t^8.42 + 9*t^8.45 + 6*t^8.48 + 4*t^8.56 + 3*t^8.73 + 3*t^8.76 + 3*t^8.79 - 3*t^8.82 - 7*t^8.85 - 3*t^8.89 - t^4.43/y - t^6.52/y - (2*t^7.28)/y + (2*t^7.57)/y + (2*t^7.95)/y + t^8.33/y - t^8.62/y + t^8.71/y + t^8.91/y + (3*t^8.94)/y + (3*t^8.97)/y - t^4.43*y - t^6.52*y - 2*t^7.28*y + 2*t^7.57*y + 2*t^7.95*y + t^8.33*y - t^8.62*y + t^8.71*y + t^8.91*y + 3*t^8.94*y + 3*t^8.97*y | (g1*g4*t^2.09)/(g2^3*g3^3) + (2*t^2.85)/(g2^2*g3^2) + g1*g4*t^3.81 + g1*g2*t^3.84 + g1*g3*t^3.84 + (g2^2*g3^2*g4*t^3.84)/g1 + (g2^3*g3^2*t^3.87)/g1 + (g2^2*g3^3*t^3.87)/g1 + (g1*g2*g3*t^3.87)/g4 + (g1^2*g4^2*t^4.19)/(g2^6*g3^6) + (g1^2*t^4.54)/(g2*g3) + g2*g4*t^4.54 + g3*g4*t^4.54 + 3*g2*g3*t^4.57 + (g2^3*g3^3*t^4.6)/g1^2 + (g2^2*g3*t^4.6)/g4 + (g2*g3^2*t^4.6)/g4 + (2*g1*g4*t^4.95)/(g2^5*g3^5) + (3*t^5.71)/(g2^4*g3^4) + (g1^2*g4^2*t^5.91)/(g2^3*g3^3) + (g1^2*g4*t^5.94)/(g2^2*g3^3) + (g1^2*g4*t^5.94)/(g2^3*g3^2) + (g4^2*t^5.94)/(g2*g3) - 4*t^6. - (g2^2*g3^2*t^6.03)/g1^2 - (g2*t^6.03)/g4 - (g3*t^6.03)/g4 + (g1^3*g4^3*t^6.28)/(g2^9*g3^9) + (g1^3*g4*t^6.64)/(g2^4*g3^4) + (g1*g4^2*t^6.64)/(g2^2*g3^3) + (g1*g4^2*t^6.64)/(g2^3*g3^2) + (3*g1*g4*t^6.67)/(g2^2*g3^2) + (g1*t^6.7)/(g2*g3^2) + (g1*t^6.7)/(g2^2*g3) + (g4*t^6.7)/g1 - (2*g2*g3*t^6.76)/(g1*g4) + (2*g1^2*g4^2*t^7.04)/(g2^8*g3^8) + (g1^2*t^7.4)/(g2^3*g3^3) + (g4*t^7.4)/(g2*g3^2) + (g4*t^7.4)/(g2^2*g3) + (3*t^7.43)/(g2*g3) + (g2*g3*t^7.46)/g1^2 + t^7.46/(g2*g4) + t^7.46/(g3*g4) + g1^2*g4^2*t^7.62 + g1^2*g2*g4*t^7.65 + g1^2*g3*g4*t^7.65 + g2^2*g3^2*g4^2*t^7.65 + g1^2*g2^2*t^7.69 + g1^2*g2*g3*t^7.69 + g1^2*g3^2*t^7.69 + g2^3*g3^2*g4*t^7.69 + g2^2*g3^3*g4*t^7.69 + (g2^4*g3^4*g4^2*t^7.69)/g1^2 + g2^4*g3^2*t^7.72 + g2^2*g3^4*t^7.72 + (g1^2*g2^2*g3*t^7.72)/g4 + (g1^2*g2*g3^2*t^7.72)/g4 + (g2^5*g3^4*g4*t^7.72)/g1^2 + (g2^4*g3^5*g4*t^7.72)/g1^2 + (g2^6*g3^4*t^7.75)/g1^2 + (g2^4*g3^6*t^7.75)/g1^2 + (g1^2*g2^2*g3^2*t^7.75)/g4^2 + (3*g1*g4*t^7.8)/(g2^7*g3^7) + (g1^3*g4^3*t^8.)/(g2^6*g3^6) + (g1^3*g4^2*t^8.03)/(g2^5*g3^6) + (g1^3*g4^2*t^8.03)/(g2^6*g3^5) + (g1*g4^3*t^8.03)/(g2^4*g3^4) - (4*g1*g4*t^8.09)/(g2^3*g3^3) - (g1*t^8.13)/(g2^2*g3^3) - (g1*t^8.13)/(g2^3*g3^2) - (g4*t^8.13)/(g1*g2*g3) + (g1^3*g4*t^8.35)/(g2*g3) + g1*g2*g4^2*t^8.35 + g1*g3*g4^2*t^8.35 + (g1^3*t^8.38)/g2 + (g1^3*t^8.38)/g3 + g1*g2^2*g4*t^8.38 + 3*g1*g2*g3*g4*t^8.38 + g1*g3^2*g4*t^8.38 + (g2^3*g3^2*g4^2*t^8.38)/g1 + (g2^2*g3^3*g4^2*t^8.38)/g1 + (g1^4*g4^4*t^8.38)/(g2^12*g3^12) + 3*g1*g2^2*g3*t^8.42 + 3*g1*g2*g3^2*t^8.42 + (g1^3*t^8.42)/g4 + (g2^4*g3^2*g4*t^8.42)/g1 + (3*g2^3*g3^3*g4*t^8.42)/g1 + (g2^2*g3^4*g4*t^8.42)/g1 + (2*g2^4*g3^3*t^8.45)/g1 + (2*g2^3*g3^4*t^8.45)/g1 + (g1*g2^3*g3*t^8.45)/g4 + (2*g1*g2^2*g3^2*t^8.45)/g4 + (g1*g2*g3^3*t^8.45)/g4 + (g2^5*g3^5*g4*t^8.45)/g1^3 + (g2^6*g3^5*t^8.48)/g1^3 + (g2^5*g3^6*t^8.48)/g1^3 + (g1*g2^3*g3^2*t^8.48)/g4^2 + (g1*g2^2*g3^3*t^8.48)/g4^2 + (g2^5*g3^3*t^8.48)/(g1*g4) + (g2^3*g3^5*t^8.48)/(g1*g4) + (4*t^8.56)/(g2^6*g3^6) + (g1^4*g4^2*t^8.73)/(g2^7*g3^7) + (g1^2*g4^3*t^8.73)/(g2^5*g3^6) + (g1^2*g4^3*t^8.73)/(g2^6*g3^5) + (3*g1^2*g4^2*t^8.76)/(g2^5*g3^5) + (g1^2*g4*t^8.79)/(g2^4*g3^5) + (g1^2*g4*t^8.79)/(g2^5*g3^4) + (g4^2*t^8.79)/(g2^3*g3^3) - (g1^2*t^8.82)/(g2^4*g3^4) - (g4*t^8.82)/(g2^2*g3^3) - (g4*t^8.82)/(g2^3*g3^2) - (7*t^8.85)/(g2^2*g3^2) - t^8.89/g1^2 - t^8.89/(g2*g3^2*g4) - t^8.89/(g2^2*g3*g4) - t^4.43/(g2*g3*y) - (g1*g4*t^6.52)/(g2^4*g3^4*y) - (2*t^7.28)/(g2^3*g3^3*y) + (2*g2*g3*t^7.57)/y + (2*g1*g4*t^7.95)/(g2^5*g3^5*y) + (g2^2*g3^2*t^8.33)/(g1*g4*y) - (g1^2*g4^2*t^8.62)/(g2^7*g3^7*y) + t^8.71/(g2^4*g3^4*y) + (g1^2*g4^2*t^8.91)/(g2^3*g3^3*y) + (g1^2*g4*t^8.94)/(g2^2*g3^3*y) + (g1^2*g4*t^8.94)/(g2^3*g3^2*y) + (g4^2*t^8.94)/(g2*g3*y) + (g1^2*t^8.97)/(g2^2*g3^2*y) + (g4*t^8.97)/(g2*y) + (g4*t^8.97)/(g3*y) - (t^4.43*y)/(g2*g3) - (g1*g4*t^6.52*y)/(g2^4*g3^4) - (2*t^7.28*y)/(g2^3*g3^3) + 2*g2*g3*t^7.57*y + (2*g1*g4*t^7.95*y)/(g2^5*g3^5) + (g2^2*g3^2*t^8.33*y)/(g1*g4) - (g1^2*g4^2*t^8.62*y)/(g2^7*g3^7) + (t^8.71*y)/(g2^4*g3^4) + (g1^2*g4^2*t^8.91*y)/(g2^3*g3^3) + (g1^2*g4*t^8.94*y)/(g2^2*g3^3) + (g1^2*g4*t^8.94*y)/(g2^3*g3^2) + (g4^2*t^8.94*y)/(g2*g3) + (g1^2*t^8.97*y)/(g2^2*g3^2) + (g4*t^8.97*y)/g2 + (g4*t^8.97*y)/g3 |
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 |
|---|
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55670 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_2q_1q_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.878 | 1.0728 | 0.8184 | [X:[], M:[0.7561, 0.7561], q:[0.639, 0.6049, 0.6049], qb:[0.737, 0.737, 0.5735], phi:[0.5259]] | 2*t^2.27 + t^3.16 + 2*t^3.54 + t^3.63 + t^3.64 + 2*t^3.93 + 4*t^4.03 + 2*t^4.13 + t^4.42 + 3*t^4.54 + t^5.02 + 2*t^5.11 + 3*t^5.21 + t^5.22 + 2*t^5.31 + t^5.41 + 2*t^5.42 + 3*t^5.8 - 7*t^6. - t^4.58/y - t^4.58*y | detail |