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 |
|---|---|---|---|---|---|---|---|---|---|
| 55379 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_1^2$ | 0.7342 | 0.9146 | 0.8027 | [X:[], M:[0.9754, 1.0, 1.0246, 0.8619, 0.8374, 1.069, 0.6726], q:[0.431, 0.5936], qb:[0.569, 0.5445], phi:[0.4655]] | [X:[], M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [-6, 1], [2, 0], [5, 0]], q:[[-2, 0], [4, -1]], qb:[[2, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ M_4$, $ M_1$, $ M_2$, $ M_3$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_5M_7$, $ M_4M_7$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_7$, $ \phi_1q_2^2$, $ M_2M_7$, $ M_5^2$, $ M_3M_7$, $ M_4M_5$, $ M_4^2$, $ M_6M_7$, $ M_7\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_1M_4$, $ M_2M_5$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ M_4M_6$, $ M_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.02 + t^2.51 + t^2.59 + t^2.93 + t^3. + t^3.07 + t^3.21 + t^3.34 + t^4.04 + t^4.32 + t^4.4 + t^4.47 + t^4.53 + t^4.6 + t^4.66 + t^4.74 + 2*t^4.81 + t^4.88 + t^4.94 + t^4.96 + 2*t^5.02 + t^5.09 + t^5.1 + t^5.17 + t^5.22 + t^5.36 + t^5.44 + t^5.51 + t^5.59 + t^5.72 + t^5.79 + t^5.85 - 2*t^6. + t^6.05 - t^6.07 + t^6.13 + t^6.21 + t^6.27 + t^6.28 + t^6.34 + t^6.41 + 2*t^6.55 + t^6.62 + 2*t^6.68 + t^6.75 + 3*t^6.83 + t^6.9 + t^6.91 + t^6.96 + 2*t^6.98 + 2*t^7.04 + t^7.11 + t^7.12 + t^7.18 + t^7.24 + 2*t^7.25 + 2*t^7.32 + t^7.38 + 2*t^7.4 + t^7.46 + t^7.47 + t^7.53 + 2*t^7.54 + t^7.59 + t^7.6 + t^7.61 + 2*t^7.66 + t^7.68 + 3*t^7.74 + t^7.76 + 2*t^7.81 + t^7.87 + t^7.88 + t^7.95 + t^7.96 + t^8. - t^8.02 + t^8.03 + t^8.07 + t^8.08 - t^8.09 + t^8.1 + 2*t^8.15 + t^8.22 + t^8.23 + t^8.28 + 2*t^8.3 + 2*t^8.36 + t^8.38 + t^8.43 - 3*t^8.51 + 2*t^8.57 - 4*t^8.59 + t^8.64 + t^8.65 - 2*t^8.66 + 2*t^8.7 + t^8.72 + t^8.77 + t^8.78 + t^8.79 + 2*t^8.85 + t^8.92 - 3*t^8.93 + t^8.98 + 2*t^8.99 - t^4.4/y - t^6.41/y - t^6.91/y - t^6.98/y + t^7.53/y + t^7.6/y + t^7.81/y + t^7.88/y + t^7.94/y + t^8.02/y + t^8.09/y + t^8.1/y + t^8.22/y + t^8.36/y + t^8.38/y - t^8.43/y + t^8.44/y + (2*t^8.51)/y + (2*t^8.59)/y + t^8.66/y + t^8.72/y + t^8.79/y + t^8.85/y + t^8.93/y - t^4.4*y - t^6.41*y - t^6.91*y - t^6.98*y + t^7.53*y + t^7.6*y + t^7.81*y + t^7.88*y + t^7.94*y + t^8.02*y + t^8.09*y + t^8.1*y + t^8.22*y + t^8.36*y + t^8.38*y - t^8.43*y + t^8.44*y + 2*t^8.51*y + 2*t^8.59*y + t^8.66*y + t^8.72*y + t^8.79*y + t^8.85*y + t^8.93*y | g1^5*t^2.02 + (g2*t^2.51)/g1^6 + t^2.59/g1^4 + (g2*t^2.93)/g1^2 + t^3. + (g1^2*t^3.07)/g2 + g1^2*t^3.21 + g1^2*g2*t^3.34 + g1^10*t^4.04 + (g2*t^4.32)/g1^3 + t^4.4/g1 + (g1*t^4.47)/g2 + (g2*t^4.53)/g1 + g1*t^4.6 + (g2^2*t^4.66)/g1 + g1*g2*t^4.74 + 2*g1^3*t^4.81 + (g1^5*t^4.88)/g2 + g1^3*g2*t^4.94 + (g1^7*t^4.96)/g2^2 + g1^5*t^5.02 + (g2^2*t^5.02)/g1^12 + (g1^7*t^5.09)/g2 + (g2*t^5.1)/g1^10 + t^5.17/g1^8 + g1^7*t^5.22 + g1^7*g2*t^5.36 + (g2^2*t^5.44)/g1^8 + (g2*t^5.51)/g1^6 + t^5.59/g1^4 + (g2*t^5.72)/g1^4 + t^5.79/g1^2 + (g2^2*t^5.85)/g1^4 - 2*t^6. + g1^15*t^6.05 - (g1^2*t^6.07)/g2 + g2*t^6.13 + g1^2*t^6.21 + g2^2*t^6.27 + (g1^4*t^6.28)/g2 + g1^2*g2*t^6.34 + g1^4*t^6.41 + 2*g1^4*g2*t^6.55 + g1^6*t^6.62 + 2*g1^4*g2^2*t^6.68 + g1^6*g2*t^6.75 + 2*g1^8*t^6.83 + (g2^2*t^6.83)/g1^9 + (g1^10*t^6.9)/g2 + (g2*t^6.91)/g1^7 + g1^8*g2*t^6.96 + t^6.98/g1^5 + (g1^12*t^6.98)/g2^2 + g1^10*t^7.04 + (g2^2*t^7.04)/g1^7 + (g1^12*t^7.11)/g2 + (g2*t^7.12)/g1^5 + (g2^3*t^7.18)/g1^7 + g1^12*t^7.24 + (2*g2^2*t^7.25)/g1^5 + (2*g2*t^7.32)/g1^3 + g1^12*g2*t^7.38 + (2*t^7.4)/g1 + (g2^2*t^7.46)/g1^3 + (g1*t^7.47)/g2 + (g2*t^7.53)/g1 + (g1^3*t^7.54)/g2^2 + (g2^3*t^7.54)/g1^18 + (g2^3*t^7.59)/g1^3 + g1*t^7.6 + (g2^2*t^7.61)/g1^16 + (2*g2^2*t^7.66)/g1 + (g2*t^7.68)/g1^14 + 3*g1*g2*t^7.74 + t^7.76/g1^12 + 2*g1^3*t^7.81 + g1*g2^2*t^7.87 + (g1^5*t^7.88)/g2 + (g2^3*t^7.95)/g1^14 + (g1^7*t^7.96)/g2^2 + g1*g2^3*t^8. - 2*g1^5*t^8.02 + (g2^2*t^8.02)/g1^12 + (g1^9*t^8.03)/g2^3 + g1^20*t^8.07 + g1^3*g2^2*t^8.08 - (g1^7*t^8.09)/g2 + (g2*t^8.1)/g1^10 + 2*g1^5*g2*t^8.15 + g1^7*t^8.22 + (g2^2*t^8.23)/g1^10 + g1^5*g2^2*t^8.28 + (g1^9*t^8.3)/g2 + (g2*t^8.3)/g1^8 + g1^7*g2*t^8.36 + (g2^3*t^8.36)/g1^10 + t^8.38/g1^6 + g1^9*t^8.43 - (3*g2*t^8.51)/g1^6 + 2*g1^9*g2*t^8.57 - (4*t^8.59)/g1^4 + g1^11*t^8.64 + (g2^2*t^8.65)/g1^6 - (2*t^8.66)/(g1^2*g2) + 2*g1^9*g2^2*t^8.7 + (g2*t^8.72)/g1^4 + g1^11*g2*t^8.77 + (g2^3*t^8.78)/g1^6 + t^8.79/g1^2 + 2*g1^13*t^8.85 + (g1^15*t^8.92)/g2 - (3*g2*t^8.93)/g1^2 + g1^13*g2*t^8.98 + (g1^17*t^8.99)/g2^2 + (g2^3*t^8.99)/g1^4 - t^4.4/(g1*y) - (g1^4*t^6.41)/y - (g2*t^6.91)/(g1^7*y) - t^6.98/(g1^5*y) + (g2*t^7.53)/(g1*y) + (g1*t^7.6)/y + (g1^3*t^7.81)/y + (g1^5*t^7.88)/(g2*y) + (g1^3*g2*t^7.94)/y + (g1^5*t^8.02)/y + (g1^7*t^8.09)/(g2*y) + (g2*t^8.1)/(g1^10*y) + (g1^7*t^8.22)/y + (g1^7*g2*t^8.36)/y + t^8.38/(g1^6*y) - (g1^9*t^8.43)/y + (g2^2*t^8.44)/(g1^8*y) + (2*g2*t^8.51)/(g1^6*y) + (2*t^8.59)/(g1^4*y) + t^8.66/(g1^2*g2*y) + (g2*t^8.72)/(g1^4*y) + t^8.79/(g1^2*y) + (g2^2*t^8.85)/(g1^4*y) + (g2*t^8.93)/(g1^2*y) - (t^4.4*y)/g1 - g1^4*t^6.41*y - (g2*t^6.91*y)/g1^7 - (t^6.98*y)/g1^5 + (g2*t^7.53*y)/g1 + g1*t^7.6*y + g1^3*t^7.81*y + (g1^5*t^7.88*y)/g2 + g1^3*g2*t^7.94*y + g1^5*t^8.02*y + (g1^7*t^8.09*y)/g2 + (g2*t^8.1*y)/g1^10 + g1^7*t^8.22*y + g1^7*g2*t^8.36*y + (t^8.38*y)/g1^6 - g1^9*t^8.43*y + (g2^2*t^8.44*y)/g1^8 + (2*g2*t^8.51*y)/g1^6 + (2*t^8.59*y)/g1^4 + (t^8.66*y)/(g1^2*g2) + (g2*t^8.72*y)/g1^4 + (t^8.79*y)/g1^2 + (g2^2*t^8.85*y)/g1^4 + (g2*t^8.93*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56991 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_1^2$ + $ M_1M_8$ | 0.7333 | 0.912 | 0.804 | [X:[], M:[1.0053, 1.0, 0.9947, 0.8598, 0.8651, 1.0701, 0.6753, 0.9947], q:[0.4299, 0.5648], qb:[0.5701, 0.5754], phi:[0.4649]] | t^2.03 + t^2.58 + t^2.6 + 2*t^2.98 + t^3. + t^3.21 + t^3.44 + t^4.05 + t^4.38 + t^4.39 + t^4.41 + t^4.61 + t^4.62 + t^4.78 + t^4.8 + 2*t^4.82 + t^4.83 + t^4.85 + 2*t^5.01 + t^5.03 + t^5.16 + t^5.17 + t^5.19 + t^5.24 + t^5.46 + t^5.56 + 2*t^5.58 + t^5.79 + t^5.81 + 2*t^5.97 - 3*t^6. - t^4.39/y - t^4.39*y | detail | |
| 56990 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_1^2$ + $ M_6M_7$ | 0.7015 | 0.8716 | 0.8048 | [X:[], M:[0.9914, 1.0, 1.0086, 0.7143, 0.7057, 1.1429, 0.8571], q:[0.3571, 0.6514], qb:[0.6429, 0.6343], phi:[0.4286]] | t^2.12 + t^2.14 + t^2.57 + t^2.97 + t^3. + t^3.03 + t^3.43 + t^3.83 + t^4.23 + 2*t^4.26 + 2*t^4.29 + t^4.31 + t^4.69 + t^4.71 + 2*t^5.09 + 2*t^5.12 + 4*t^5.14 + t^5.17 + t^5.19 + 2*t^5.55 + 2*t^5.57 + t^5.6 + t^5.95 - t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46965 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_2^2$ + $ M_6\phi_1^2$ | 0.7134 | 0.8733 | 0.8168 | [X:[], M:[0.9756, 1.0, 1.0244, 0.86, 0.8356, 1.07], q:[0.43, 0.5944], qb:[0.57, 0.5455], phi:[0.465]] | t^2.51 + t^2.58 + t^2.93 + t^3. + t^3.07 + t^3.21 + t^3.35 + t^3.98 + t^4.32 + t^4.4 + t^4.47 + t^4.67 + t^4.74 + 2*t^4.81 + t^4.89 + t^4.96 + t^5.01 + t^5.09 + t^5.16 + t^5.43 + t^5.51 + t^5.58 + t^5.72 + t^5.79 + t^5.85 - 2*t^6. - t^4.4/y - t^4.4*y | detail |