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 |
|---|---|---|---|---|---|---|---|---|---|
| 45849 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ | 0.7576 | 0.9264 | 0.8177 | [X:[], M:[0.7673, 0.7673, 0.7673], q:[0.6164, 0.6164], qb:[0.6164, 0.5482], phi:[0.4007]] | [X:[], M:[[-4, -4, 0, 0], [-4, 0, -4, 0], [0, -4, -4, 0]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_2^2$, $ M_3^2$, $ M_2M_3$, $ M_1M_3$, $ M_1M_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | . | -10 | 3*t^2.3 + t^2.4 + 3*t^3.49 + t^4.49 + 6*t^4.6 + 3*t^4.7 + 3*t^4.71 + t^4.81 + 6*t^4.9 + 6*t^5.8 + 3*t^5.9 - 10*t^6. - 3*t^6.2 + 3*t^6.79 + t^6.9 + 10*t^6.91 + 6*t^6.99 + 6*t^7. + 6*t^7.01 + 3*t^7.1 + 3*t^7.11 - t^7.19 + 9*t^7.2 + t^7.21 + 6*t^7.3 - 3*t^7.41 + 3*t^7.98 - t^8.09 + 9*t^8.1 + 6*t^8.19 + 6*t^8.2 - 3*t^8.29 - 21*t^8.3 + 9*t^8.39 - 10*t^8.4 - 6*t^8.5 - 6*t^8.51 - 3*t^8.6 - 3*t^8.61 + t^8.71 + t^8.98 - t^4.2/y - (3*t^6.5)/y - t^6.61/y + (3*t^7.6)/y + (3*t^7.71)/y + t^7.8/y + (3*t^7.9)/y + (9*t^8.8)/y - (6*t^8.81)/y + (3*t^8.9)/y - (3*t^8.91)/y - t^4.2*y - 3*t^6.5*y - t^6.61*y + 3*t^7.6*y + 3*t^7.71*y + t^7.8*y + 3*t^7.9*y + 9*t^8.8*y - 6*t^8.81*y + 3*t^8.9*y - 3*t^8.91*y | t^2.3/(g1^4*g2^4) + t^2.3/(g1^4*g3^4) + t^2.3/(g2^4*g3^4) + t^2.4/(g1^2*g2^2*g3^2*g4^2) + g1^4*g4^4*t^3.49 + g2^4*g4^4*t^3.49 + g3^4*g4^4*t^3.49 + (g4^7*t^4.49)/(g1*g2*g3) + t^4.6/(g1^8*g2^8) + t^4.6/(g1^8*g3^8) + t^4.6/(g2^8*g3^8) + t^4.6/(g1^4*g2^4*g3^8) + t^4.6/(g1^4*g2^8*g3^4) + t^4.6/(g1^8*g2^4*g3^4) + (g1^3*g4^3*t^4.7)/(g2*g3) + (g2^3*g4^3*t^4.7)/(g1*g3) + (g3^3*g4^3*t^4.7)/(g1*g2) + t^4.71/(g1^2*g2^6*g3^6*g4^2) + t^4.71/(g1^6*g2^2*g3^6*g4^2) + t^4.71/(g1^6*g2^6*g3^2*g4^2) + t^4.81/(g1^4*g2^4*g3^4*g4^4) + (g1^7*t^4.9)/(g2*g3*g4) + (g1^3*g2^3*t^4.9)/(g3*g4) + (g2^7*t^4.9)/(g1*g3*g4) + (g1^3*g3^3*t^4.9)/(g2*g4) + (g2^3*g3^3*t^4.9)/(g1*g4) + (g3^7*t^4.9)/(g1*g2*g4) + (g4^4*t^5.8)/g1^4 + (g4^4*t^5.8)/g2^4 + (g4^4*t^5.8)/g3^4 + (g1^4*g4^4*t^5.8)/(g2^4*g3^4) + (g2^4*g4^4*t^5.8)/(g1^4*g3^4) + (g3^4*g4^4*t^5.8)/(g1^4*g2^4) + (g1^2*g4^2*t^5.9)/(g2^2*g3^2) + (g2^2*g4^2*t^5.9)/(g1^2*g3^2) + (g3^2*g4^2*t^5.9)/(g1^2*g2^2) - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - (g1^4*t^6.)/g3^4 - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g1^4 - (g3^4*t^6.)/g2^4 - (g1^4*t^6.2)/g4^4 - (g2^4*t^6.2)/g4^4 - (g3^4*t^6.2)/g4^4 + (g4^7*t^6.79)/(g1*g2^5*g3^5) + (g4^7*t^6.79)/(g1^5*g2*g3^5) + (g4^7*t^6.79)/(g1^5*g2^5*g3) + (g4^5*t^6.9)/(g1^3*g2^3*g3^3) + t^6.91/(g1^12*g2^12) + t^6.91/(g1^12*g3^12) + t^6.91/(g2^12*g3^12) + t^6.91/(g1^4*g2^8*g3^12) + t^6.91/(g1^8*g2^4*g3^12) + t^6.91/(g1^4*g2^12*g3^8) + t^6.91/(g1^8*g2^8*g3^8) + t^6.91/(g1^12*g2^4*g3^8) + t^6.91/(g1^8*g2^12*g3^4) + t^6.91/(g1^12*g2^8*g3^4) + g1^8*g4^8*t^6.99 + g1^4*g2^4*g4^8*t^6.99 + g2^8*g4^8*t^6.99 + g1^4*g3^4*g4^8*t^6.99 + g2^4*g3^4*g4^8*t^6.99 + g3^8*g4^8*t^6.99 + (g1^3*g4^3*t^7.)/(g2^5*g3^5) + (g4^3*t^7.)/(g1*g2*g3^5) + (g2^3*g4^3*t^7.)/(g1^5*g3^5) + (g4^3*t^7.)/(g1*g2^5*g3) + (g4^3*t^7.)/(g1^5*g2*g3) + (g3^3*g4^3*t^7.)/(g1^5*g2^5) + t^7.01/(g1^2*g2^10*g3^10*g4^2) + t^7.01/(g1^6*g2^6*g3^10*g4^2) + t^7.01/(g1^10*g2^2*g3^10*g4^2) + t^7.01/(g1^6*g2^10*g3^6*g4^2) + t^7.01/(g1^10*g2^6*g3^6*g4^2) + t^7.01/(g1^10*g2^10*g3^2*g4^2) + (g1*g4*t^7.1)/(g2^3*g3^3) + (g2*g4*t^7.1)/(g1^3*g3^3) + (g3*g4*t^7.1)/(g1^3*g2^3) + t^7.11/(g1^4*g2^8*g3^8*g4^4) + t^7.11/(g1^8*g2^4*g3^8*g4^4) + t^7.11/(g1^8*g2^8*g3^4*g4^4) - g1^4*g2^4*g3^4*g4^4*t^7.19 + (g1^7*t^7.2)/(g2^5*g3^5*g4) + (g1^3*t^7.2)/(g2*g3^5*g4) + (g2^3*t^7.2)/(g1*g3^5*g4) + (g2^7*t^7.2)/(g1^5*g3^5*g4) + (g1^3*t^7.2)/(g2^5*g3*g4) + (g2^3*t^7.2)/(g1^5*g3*g4) + (g3^3*t^7.2)/(g1*g2^5*g4) + (g3^3*t^7.2)/(g1^5*g2*g4) + (g3^7*t^7.2)/(g1^5*g2^5*g4) + t^7.21/(g1^6*g2^6*g3^6*g4^6) + (g1^5*t^7.3)/(g2^3*g3^3*g4^3) + (g1*g2*t^7.3)/(g3^3*g4^3) + (g2^5*t^7.3)/(g1^3*g3^3*g4^3) + (g1*g3*t^7.3)/(g2^3*g4^3) + (g2*g3*t^7.3)/(g1^3*g4^3) + (g3^5*t^7.3)/(g1^3*g2^3*g4^3) - (g1^3*t^7.41)/(g2*g3*g4^5) - (g2^3*t^7.41)/(g1*g3*g4^5) - (g3^3*t^7.41)/(g1*g2*g4^5) + (g1^3*g4^11*t^7.98)/(g2*g3) + (g2^3*g4^11*t^7.98)/(g1*g3) + (g3^3*g4^11*t^7.98)/(g1*g2) - g1*g2*g3*g4^9*t^8.09 + (g4^4*t^8.1)/(g1^4*g2^8) + (g4^4*t^8.1)/(g1^8*g2^4) + (g4^4*t^8.1)/(g1^4*g3^8) + (g1^4*g4^4*t^8.1)/(g2^8*g3^8) + (g4^4*t^8.1)/(g2^4*g3^8) + (g2^4*g4^4*t^8.1)/(g1^8*g3^8) + (g4^4*t^8.1)/(g1^8*g3^4) + (g4^4*t^8.1)/(g2^8*g3^4) + (g3^4*g4^4*t^8.1)/(g1^8*g2^8) + (g1^7*g4^7*t^8.19)/(g2*g3) + (g1^3*g2^3*g4^7*t^8.19)/g3 + (g2^7*g4^7*t^8.19)/(g1*g3) + (g1^3*g3^3*g4^7*t^8.19)/g2 + (g2^3*g3^3*g4^7*t^8.19)/g1 + (g3^7*g4^7*t^8.19)/(g1*g2) + (g1^2*g4^2*t^8.2)/(g2^6*g3^6) + (g4^2*t^8.2)/(g1^2*g2^2*g3^6) + (g2^2*g4^2*t^8.2)/(g1^6*g3^6) + (g4^2*t^8.2)/(g1^2*g2^6*g3^2) + (g4^2*t^8.2)/(g1^6*g2^2*g3^2) + (g3^2*g4^2*t^8.2)/(g1^6*g2^6) - g1^5*g2*g3*g4^5*t^8.29 - g1*g2^5*g3*g4^5*t^8.29 - g1*g2*g3^5*g4^5*t^8.29 - t^8.3/g1^8 - t^8.3/g2^8 - (4*t^8.3)/(g1^4*g2^4) - t^8.3/g3^8 - (g1^4*t^8.3)/(g2^4*g3^8) - (g2^4*t^8.3)/(g1^4*g3^8) - (4*t^8.3)/(g1^4*g3^4) - (g1^4*t^8.3)/(g2^8*g3^4) - (4*t^8.3)/(g2^4*g3^4) - (g2^4*t^8.3)/(g1^8*g3^4) - (g3^4*t^8.3)/(g1^4*g2^8) - (g3^4*t^8.3)/(g1^8*g2^4) + (g1^11*g4^3*t^8.39)/(g2*g3) + (g1^7*g2^3*g4^3*t^8.39)/g3 + (g1^3*g2^7*g4^3*t^8.39)/g3 + (g2^11*g4^3*t^8.39)/(g1*g3) + (g1^7*g3^3*g4^3*t^8.39)/g2 + (g2^7*g3^3*g4^3*t^8.39)/g1 + (g1^3*g3^7*g4^3*t^8.39)/g2 + (g2^3*g3^7*g4^3*t^8.39)/g1 + (g3^11*g4^3*t^8.39)/(g1*g2) - (g1^2*t^8.4)/(g2^2*g3^6*g4^2) - (g2^2*t^8.4)/(g1^2*g3^6*g4^2) - (g1^2*t^8.4)/(g2^6*g3^2*g4^2) - (4*t^8.4)/(g1^2*g2^2*g3^2*g4^2) - (g2^2*t^8.4)/(g1^6*g3^2*g4^2) - (g3^2*t^8.4)/(g1^2*g2^6*g4^2) - (g3^2*t^8.4)/(g1^6*g2^2*g4^2) - g1^9*g2*g3*g4*t^8.5 - g1^5*g2^5*g3*g4*t^8.5 - g1*g2^9*g3*g4*t^8.5 - g1^5*g2*g3^5*g4*t^8.5 - g1*g2^5*g3^5*g4*t^8.5 - g1*g2*g3^9*g4*t^8.5 - t^8.51/(g1^4*g4^4) - t^8.51/(g2^4*g4^4) - t^8.51/(g3^4*g4^4) - (g1^4*t^8.51)/(g2^4*g3^4*g4^4) - (g2^4*t^8.51)/(g1^4*g3^4*g4^4) - (g3^4*t^8.51)/(g1^4*g2^4*g4^4) - (g1^7*g2^3*g3^3*t^8.6)/g4 - (g1^3*g2^7*g3^3*t^8.6)/g4 - (g1^3*g2^3*g3^7*t^8.6)/g4 - (g1^2*t^8.61)/(g2^2*g3^2*g4^6) - (g2^2*t^8.61)/(g1^2*g3^2*g4^6) - (g3^2*t^8.61)/(g1^2*g2^2*g4^6) + t^8.71/g4^8 + (g4^14*t^8.98)/(g1^2*g2^2*g3^2) - t^4.2/(g1*g2*g3*g4*y) - t^6.5/(g1*g2^5*g3^5*g4*y) - t^6.5/(g1^5*g2*g3^5*g4*y) - t^6.5/(g1^5*g2^5*g3*g4*y) - t^6.61/(g1^3*g2^3*g3^3*g4^3*y) + t^7.6/(g1^4*g2^4*g3^8*y) + t^7.6/(g1^4*g2^8*g3^4*y) + t^7.6/(g1^8*g2^4*g3^4*y) + t^7.71/(g1^2*g2^6*g3^6*g4^2*y) + t^7.71/(g1^6*g2^2*g3^6*g4^2*y) + t^7.71/(g1^6*g2^6*g3^2*g4^2*y) + (g1*g2*g3*g4*t^7.8)/y + (g1^3*g2^3*t^7.9)/(g3*g4*y) + (g1^3*g3^3*t^7.9)/(g2*g4*y) + (g2^3*g3^3*t^7.9)/(g1*g4*y) + (2*g4^4*t^8.8)/(g1^4*y) + (2*g4^4*t^8.8)/(g2^4*y) + (2*g4^4*t^8.8)/(g3^4*y) + (g1^4*g4^4*t^8.8)/(g2^4*g3^4*y) + (g2^4*g4^4*t^8.8)/(g1^4*g3^4*y) + (g3^4*g4^4*t^8.8)/(g1^4*g2^4*y) - t^8.81/(g1*g2^9*g3^9*g4*y) - t^8.81/(g1^5*g2^5*g3^9*g4*y) - t^8.81/(g1^9*g2*g3^9*g4*y) - t^8.81/(g1^5*g2^9*g3^5*g4*y) - t^8.81/(g1^9*g2^5*g3^5*g4*y) - t^8.81/(g1^9*g2^9*g3*g4*y) + (g1^2*g4^2*t^8.9)/(g2^2*g3^2*y) + (g2^2*g4^2*t^8.9)/(g1^2*g3^2*y) + (g3^2*g4^2*t^8.9)/(g1^2*g2^2*y) - t^8.91/(g1^3*g2^7*g3^7*g4^3*y) - t^8.91/(g1^7*g2^3*g3^7*g4^3*y) - t^8.91/(g1^7*g2^7*g3^3*g4^3*y) - (t^4.2*y)/(g1*g2*g3*g4) - (t^6.5*y)/(g1*g2^5*g3^5*g4) - (t^6.5*y)/(g1^5*g2*g3^5*g4) - (t^6.5*y)/(g1^5*g2^5*g3*g4) - (t^6.61*y)/(g1^3*g2^3*g3^3*g4^3) + (t^7.6*y)/(g1^4*g2^4*g3^8) + (t^7.6*y)/(g1^4*g2^8*g3^4) + (t^7.6*y)/(g1^8*g2^4*g3^4) + (t^7.71*y)/(g1^2*g2^6*g3^6*g4^2) + (t^7.71*y)/(g1^6*g2^2*g3^6*g4^2) + (t^7.71*y)/(g1^6*g2^6*g3^2*g4^2) + g1*g2*g3*g4*t^7.8*y + (g1^3*g2^3*t^7.9*y)/(g3*g4) + (g1^3*g3^3*t^7.9*y)/(g2*g4) + (g2^3*g3^3*t^7.9*y)/(g1*g4) + (2*g4^4*t^8.8*y)/g1^4 + (2*g4^4*t^8.8*y)/g2^4 + (2*g4^4*t^8.8*y)/g3^4 + (g1^4*g4^4*t^8.8*y)/(g2^4*g3^4) + (g2^4*g4^4*t^8.8*y)/(g1^4*g3^4) + (g3^4*g4^4*t^8.8*y)/(g1^4*g2^4) - (t^8.81*y)/(g1*g2^9*g3^9*g4) - (t^8.81*y)/(g1^5*g2^5*g3^9*g4) - (t^8.81*y)/(g1^9*g2*g3^9*g4) - (t^8.81*y)/(g1^5*g2^9*g3^5*g4) - (t^8.81*y)/(g1^9*g2^5*g3^5*g4) - (t^8.81*y)/(g1^9*g2^9*g3*g4) + (g1^2*g4^2*t^8.9*y)/(g2^2*g3^2) + (g2^2*g4^2*t^8.9*y)/(g1^2*g3^2) + (g3^2*g4^2*t^8.9*y)/(g1^2*g2^2) - (t^8.91*y)/(g1^3*g2^7*g3^7*g4^3) - (t^8.91*y)/(g1^7*g2^3*g3^7*g4^3) - (t^8.91*y)/(g1^7*g2^7*g3^3*g4^3) |
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 |
|---|---|---|---|---|---|---|---|---|
| 45894 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ | 0.7047 | 0.8479 | 0.8312 | [X:[], M:[0.8283, 0.8283, 0.8283], q:[0.5858, 0.5858], qb:[0.5858, 0.8225], phi:[0.355]] | t^2.13 + 3*t^2.48 + 3*t^4.23 + t^4.26 + 6*t^4.58 + 3*t^4.61 + 6*t^4.97 - 9*t^6. - t^4.06/y - t^4.06*y | detail | |
| 45906 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1^4$ | 0.6988 | 0.8648 | 0.8081 | [X:[], M:[0.9484, 0.9484, 0.9484], q:[0.5258, 0.5258], qb:[0.5258, 0.4226], phi:[0.5]] | 6*t^2.85 + t^3. + t^4.04 + 3*t^4.35 + 6*t^4.65 + 18*t^5.69 + 6*t^5.85 - 10*t^6. - t^4.5/y - t^4.5*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45838 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ | 0.7406 | 0.8961 | 0.8265 | [X:[], M:[0.7808, 0.7808], q:[0.6298, 0.5894], qb:[0.5894, 0.5527], phi:[0.4097]] | 2*t^2.34 + t^2.46 + 2*t^3.43 + t^3.54 + t^3.55 + t^4.54 + 2*t^4.66 + 3*t^4.68 + 3*t^4.77 + t^4.78 + 2*t^4.8 + 2*t^4.89 + t^4.92 + t^5.01 + 3*t^5.77 + 2*t^5.88 + t^5.99 - 6*t^6. - t^4.23/y - t^4.23*y | detail |