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 |
|---|---|---|---|---|---|---|---|---|---|
| 55733 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2q_3\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ | 0.8457 | 1.0282 | 0.8225 | [X:[], M:[0.9176, 0.868], q:[0.7294, 0.7294, 0.566], qb:[0.566, 0.7294, 0.515], phi:[0.5412]] | [X:[], M:[[0, 0, 4, 0], [0, 0, -5, 1]], q:[[-1, 0, 2, 0], [1, 0, 0, 0], [0, -1, 5, -1]], qb:[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], phi:[[0, 0, -2, 0]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ q_3\tilde{q}_3$, $ q_2\tilde{q}_3$, $ \tilde{q}_2\tilde{q}_3$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_3^2$, $ \phi_1q_3\tilde{q}_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_3\tilde{q}_1$, $ M_2^2$, $ M_1M_2$, $ M_1^2$ | $M_1q_3\tilde{q}_3$, $ M_1\tilde{q}_1\tilde{q}_3$ | -6 | t^2.6 + t^2.75 + 2*t^3.24 + 3*t^3.73 + 6*t^3.89 + 3*t^4.38 + t^4.71 + 2*t^4.87 + 3*t^5.02 + t^5.21 + t^5.36 + t^5.51 - 6*t^6. - 2*t^6.15 + 3*t^6.34 + 6*t^6.49 + 3*t^6.64 + 6*t^6.98 + 6*t^7.13 + t^7.32 + 6*t^7.47 + 14*t^7.62 + 18*t^7.77 - 2*t^7.78 + t^7.81 + 3*t^7.96 + 9*t^8.11 + 15*t^8.26 + 3*t^8.45 + t^8.6 + 3*t^8.75 + 11*t^8.91 + 3*t^8.94 - t^4.62/y - t^7.23/y + t^8.02/y + t^8.36/y + (2*t^8.85)/y - t^4.62*y - t^7.23*y + t^8.02*y + t^8.36*y + 2*t^8.85*y | (g4*t^2.6)/g3^5 + g3^4*t^2.75 + (g3^5*t^3.24)/g2 + g2*g4*t^3.24 + g1*g4*t^3.73 + g3*g4*t^3.73 + (g3^2*g4*t^3.73)/g1 + g1*g2*t^3.89 + g2*g3*t^3.89 + (g2*g3^2*t^3.89)/g1 + (g1*g3^5*t^3.89)/(g2*g4) + (g3^6*t^3.89)/(g2*g4) + (g3^7*t^3.89)/(g1*g2*g4) + g1*g3*t^4.38 + g3^2*t^4.38 + (g3^3*t^4.38)/g1 + (g4^2*t^4.71)/g3^2 + (g3^3*t^4.87)/g2 + (g2*g4*t^4.87)/g3^2 + (g2^2*t^5.02)/g3^2 + (g3^8*t^5.02)/(g2^2*g4^2) + (g3^3*t^5.02)/g4 + (g4^2*t^5.21)/g3^10 + (g4*t^5.36)/g3 + g3^8*t^5.51 - 4*t^6. - (g1*t^6.)/g3 - (g3*t^6.)/g1 + (g3^9*t^6.)/g2 - (g3^5*t^6.)/(g2^2*g4) - (g2^2*g4*t^6.)/g3^5 + g2*g3^4*g4*t^6. - (g3^5*t^6.15)/(g2*g4^2) - (g2*t^6.15)/g4 + (g1*g4^2*t^6.34)/g3^5 + (g4^2*t^6.34)/g3^4 + (g4^2*t^6.34)/(g1*g3^3) + (g3^10*t^6.49)/g2^2 + g1*g3^4*g4*t^6.49 + 2*g3^5*g4*t^6.49 + (g3^6*g4*t^6.49)/g1 + g2^2*g4^2*t^6.49 + g1*g2*g3^4*t^6.64 + g2*g3^5*t^6.64 + (g2*g3^6*t^6.64)/g1 - (g1*t^6.64)/g4 - (g3*t^6.64)/g4 - (g3^2*t^6.64)/(g1*g4) + (g1*g3^9*t^6.64)/(g2*g4) + (g3^10*t^6.64)/(g2*g4) + (g3^11*t^6.64)/(g1*g2*g4) + (g1*g3^5*g4*t^6.98)/g2 + (g3^6*g4*t^6.98)/g2 + (g3^7*g4*t^6.98)/(g1*g2) + g1*g2*g4^2*t^6.98 + g2*g3*g4^2*t^6.98 + (g2*g3^2*g4^2*t^6.98)/g1 - (g1*g2*t^7.13)/g3^4 - (g2*t^7.13)/g3^3 - (g2*t^7.13)/(g1*g3^2) + 2*g1*g3^5*t^7.13 + 2*g3^6*t^7.13 + (2*g3^7*t^7.13)/g1 - (g1*g3*t^7.13)/(g2*g4) - (g3^2*t^7.13)/(g2*g4) - (g3^3*t^7.13)/(g1*g2*g4) + (g1*g3^10*t^7.13)/(g2^2*g4) + (g3^11*t^7.13)/(g2^2*g4) + (g3^12*t^7.13)/(g1*g2^2*g4) + g1*g2^2*g4*t^7.13 + g2^2*g3*g4*t^7.13 + (g2^2*g3^2*g4*t^7.13)/g1 + (g4^3*t^7.32)/g3^7 + g1^2*g4^2*t^7.47 + g1*g3*g4^2*t^7.47 + 2*g3^2*g4^2*t^7.47 + (g3^3*g4^2*t^7.47)/g1 + (g3^4*g4^2*t^7.47)/g1^2 - (g1*t^7.62)/g3^3 - (2*t^7.62)/g3^2 - t^7.62/(g1*g3) + (g1^2*g3^5*t^7.62)/g2 + (2*g1*g3^6*t^7.62)/g2 + (3*g3^7*t^7.62)/g2 + (2*g3^8*t^7.62)/(g1*g2) + (g3^9*t^7.62)/(g1^2*g2) + g1^2*g2*g4*t^7.62 + 2*g1*g2*g3*g4*t^7.62 + 3*g2*g3^2*g4*t^7.62 + (2*g2*g3^3*g4*t^7.62)/g1 + (g2*g3^4*g4*t^7.62)/g1^2 + g1^2*g2^2*t^7.77 + g1*g2^2*g3*t^7.77 + 2*g2^2*g3^2*t^7.77 + (g2^2*g3^3*t^7.77)/g1 + (g2^2*g3^4*t^7.77)/g1^2 + (g1^2*g3^10*t^7.77)/(g2^2*g4^2) + (g1*g3^11*t^7.77)/(g2^2*g4^2) + (2*g3^12*t^7.77)/(g2^2*g4^2) + (g3^13*t^7.77)/(g1*g2^2*g4^2) + (g3^14*t^7.77)/(g1^2*g2^2*g4^2) + (g1^2*g3^5*t^7.77)/g4 + (g1*g3^6*t^7.77)/g4 + (2*g3^7*t^7.77)/g4 + (g3^8*t^7.77)/(g1*g4) + (g3^9*t^7.77)/(g1^2*g4) - (g3^3*t^7.78)/(g2*g4^2) - (g2*t^7.78)/(g3^2*g4) + (g4^3*t^7.81)/g3^15 + (g4^2*t^7.96)/g3^6 + (g3^3*g4^2*t^7.96)/g2 + (g2*g4^3*t^7.96)/g3^2 + (g3^8*t^8.11)/g2^2 + g1^2*g3*g4*t^8.11 + g1*g3^2*g4*t^8.11 + 3*g3^3*g4*t^8.11 + (g3^4*g4*t^8.11)/g1 + (g3^5*g4*t^8.11)/g1^2 + (g2^2*g4^2*t^8.11)/g3^2 + g1^2*g2*g3*t^8.26 + g1*g2*g3^2*t^8.26 + 2*g2*g3^3*t^8.26 + (g2*g3^4*t^8.26)/g1 + (g2*g3^5*t^8.26)/g1^2 + g3^12*t^8.26 + (g3^13*t^8.26)/(g2^3*g4^2) + (g1^2*g3^6*t^8.26)/(g2*g4) + (g1*g3^7*t^8.26)/(g2*g4) + (2*g3^8*t^8.26)/(g2*g4) + (g3^9*t^8.26)/(g1*g2*g4) + (g3^10*t^8.26)/(g1^2*g2*g4) + (g2^3*g4*t^8.26)/g3^2 + (g4^3*t^8.45)/g1 + (g1*g4^3*t^8.45)/g3^2 + (g4^3*t^8.45)/g3 - (g1*g4*t^8.6)/g3^6 - (3*g4*t^8.6)/g3^5 - (g4*t^8.6)/(g1*g3^4) + (g1*g3^3*g4*t^8.6)/g2 + (g3^4*g4*t^8.6)/g2 + (g3^5*g4*t^8.6)/(g1*g2) + (g2*g4^2*t^8.6)/g1 + (g1*g2*g4^2*t^8.6)/g3^2 + (g2*g4^2*t^8.6)/g3 - 3*g3^4*t^8.75 + (g3^13*t^8.75)/g2 + (g1*g3^8*t^8.75)/(g2^2*g4) + (g3^10*t^8.75)/(g1*g2^2*g4) + (g2^2*g4*t^8.75)/g1 + (g1*g2^2*g4*t^8.75)/g3^2 + g2*g3^8*g4*t^8.75 + (g2^3*t^8.91)/g1 + (g1*g2^3*t^8.91)/g3^2 + (g2^3*t^8.91)/g3 + (g1*g3^13*t^8.91)/(g2^3*g4^3) + (g3^14*t^8.91)/(g2^3*g4^3) + (g3^15*t^8.91)/(g1*g2^3*g4^3) + t^8.91/g4^2 + (g1*g3^8*t^8.91)/(g2*g4^2) + (g3^10*t^8.91)/(g1*g2*g4^2) + (g1*g2*g3^3*t^8.91)/g4 + (g2*g3^5*t^8.91)/(g1*g4) + (g1*g4^3*t^8.94)/g3^10 + (g4^3*t^8.94)/g3^9 + (g4^3*t^8.94)/(g1*g3^8) - t^4.62/(g3^2*y) - (g4*t^7.23)/(g3^7*y) + (g3^3*t^8.02)/(g4*y) + (g4*t^8.36)/(g3*y) + (g4*t^8.85)/(g2*y) + (g2*g4^2*t^8.85)/(g3^5*y) - (t^4.62*y)/g3^2 - (g4*t^7.23*y)/g3^7 + (g3^3*t^8.02*y)/g4 + (g4*t^8.36*y)/g3 + (g4*t^8.85*y)/g2 + (g2*g4^2*t^8.85*y)/g3^5 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55680 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2q_3\tilde{q}_1$ | 0.8691 | 1.0645 | 0.8165 | [X:[], M:[0.8785, 0.7991], q:[0.7196, 0.7196, 0.6005], qb:[0.6005, 0.5584, 0.5584], phi:[0.5607]] | t^2.4 + t^2.64 + t^3.35 + 4*t^3.48 + 4*t^3.83 + 4*t^3.96 + t^4.32 + t^4.79 + 4*t^5.03 + 4*t^5.16 + t^5.27 + 3*t^5.29 + t^5.75 + t^5.99 - 9*t^6. - t^4.68/y - t^4.68*y | detail |