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 |
|---|---|---|---|---|---|---|---|---|---|
| 5462 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6208 | 0.7837 | 0.7921 | [X:[1.6064], M:[0.8191, 0.7554, 1.1809, 0.3936, 0.8191, 1.0159, 0.9841, 0.7873], q:[0.2952, 0.8857], qb:[0.5239, 0.7207], phi:[0.3936]] | [X:[[4]], M:[[12], [-28], [-12], [-4], [12], [10], [-10], [-8]], q:[[-3], [-9]], qb:[[15], [13]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_8$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_7$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_8$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_8$, $ M_5M_8$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_7$, $ M_2M_6$, $ M_7M_8$, $ M_7\phi_1^2$, $ M_1M_7$, $ M_5M_7$, $ M_6M_8$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$ | . | -2 | t^2.27 + 2*t^2.36 + 2*t^2.46 + t^2.95 + t^3.05 + t^4.23 + t^4.32 + t^4.53 + 2*t^4.63 + 5*t^4.72 + 5*t^4.82 + 3*t^4.91 + t^5.22 + 2*t^5.31 + 3*t^5.41 + 2*t^5.51 - 2*t^6. + 2*t^6.69 + 2*t^6.78 + t^6.8 + 2*t^6.89 + 5*t^6.99 + 8*t^7.09 + 9*t^7.18 + 6*t^7.28 + 4*t^7.37 + t^7.48 + 2*t^7.58 + 4*t^7.68 + 4*t^7.77 + 3*t^7.87 + 2*t^7.96 - 3*t^8.27 - 6*t^8.36 - 6*t^8.46 + t^8.65 - t^8.86 - 3*t^8.95 - t^4.18/y - t^6.45/y - (2*t^6.54)/y - t^6.64/y + (2*t^7.63)/y + (4*t^7.72)/y + (6*t^7.82)/y + (2*t^7.91)/y + t^8.22/y + (3*t^8.31)/y + (4*t^8.41)/y + (2*t^8.51)/y - t^8.71/y - (2*t^8.81)/y - (4*t^8.9)/y - t^4.18*y - t^6.45*y - 2*t^6.54*y - t^6.64*y + 2*t^7.63*y + 4*t^7.72*y + 6*t^7.82*y + 2*t^7.91*y + t^8.22*y + 3*t^8.31*y + 4*t^8.41*y + 2*t^8.51*y - t^8.71*y - 2*t^8.81*y - 4*t^8.9*y | t^2.27/g1^28 + (2*t^2.36)/g1^8 + 2*g1^12*t^2.46 + t^2.95/g1^10 + g1^10*t^3.05 + g1^6*t^4.23 + g1^26*t^4.32 + t^4.53/g1^56 + (2*t^4.63)/g1^36 + (5*t^4.72)/g1^16 + 5*g1^4*t^4.82 + 3*g1^24*t^4.91 + t^5.22/g1^38 + (2*t^5.31)/g1^18 + 3*g1^2*t^5.41 + 2*g1^22*t^5.51 - 2*t^6. + 2*g1^18*t^6.69 + 2*g1^38*t^6.78 + t^6.8/g1^84 + (2*t^6.89)/g1^64 + (5*t^6.99)/g1^44 + (8*t^7.09)/g1^24 + (9*t^7.18)/g1^4 + 6*g1^16*t^7.28 + 4*g1^36*t^7.37 + t^7.48/g1^66 + (2*t^7.58)/g1^46 + (4*t^7.68)/g1^26 + (4*t^7.77)/g1^6 + 3*g1^14*t^7.87 + 2*g1^34*t^7.96 - (3*t^8.27)/g1^28 - (6*t^8.36)/g1^8 - 6*g1^12*t^8.46 + g1^52*t^8.65 - t^8.86/g1^30 - (3*t^8.95)/g1^10 - t^4.18/(g1^4*y) - t^6.45/(g1^32*y) - (2*t^6.54)/(g1^12*y) - (g1^8*t^6.64)/y + (2*t^7.63)/(g1^36*y) + (4*t^7.72)/(g1^16*y) + (6*g1^4*t^7.82)/y + (2*g1^24*t^7.91)/y + t^8.22/(g1^38*y) + (3*t^8.31)/(g1^18*y) + (4*g1^2*t^8.41)/y + (2*g1^22*t^8.51)/y - t^8.71/(g1^60*y) - (2*t^8.81)/(g1^40*y) - (4*t^8.9)/(g1^20*y) - (t^4.18*y)/g1^4 - (t^6.45*y)/g1^32 - (2*t^6.54*y)/g1^12 - g1^8*t^6.64*y + (2*t^7.63*y)/g1^36 + (4*t^7.72*y)/g1^16 + 6*g1^4*t^7.82*y + 2*g1^24*t^7.91*y + (t^8.22*y)/g1^38 + (3*t^8.31*y)/g1^18 + 4*g1^2*t^8.41*y + 2*g1^22*t^8.51*y - (t^8.71*y)/g1^60 - (2*t^8.81*y)/g1^40 - (4*t^8.9*y)/g1^20 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6918 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ + $ M_6M_9$ | 0.6227 | 0.7874 | 0.7908 | [X:[1.61], M:[0.8301, 0.7298, 1.1699, 0.39, 0.8301, 1.0251, 0.9749, 0.78, 0.9749], q:[0.2925, 0.8775], qb:[0.5376, 0.7326], phi:[0.39]] | t^2.19 + 2*t^2.34 + 2*t^2.49 + 2*t^2.92 + t^4.25 + t^4.38 + t^4.4 + 2*t^4.53 + 5*t^4.68 + 5*t^4.83 + 3*t^4.98 + 2*t^5.11 + 3*t^5.26 + 3*t^5.42 + 2*t^5.85 - 3*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3853 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_7$ | 0.6036 | 0.7534 | 0.8013 | [X:[1.6046], M:[0.8137, 0.768, 1.1863, 0.3954, 0.8137, 1.0114, 0.9886], q:[0.2966, 0.8897], qb:[0.5171, 0.7149], phi:[0.3954]] | t^2.3 + t^2.37 + 2*t^2.44 + t^2.97 + t^3.03 + t^3.63 + t^4.22 + t^4.29 + t^4.61 + t^4.68 + 3*t^4.75 + 3*t^4.81 + 3*t^4.88 + t^5.27 + t^5.34 + 2*t^5.41 + 2*t^5.48 + t^5.93 - t^6. - t^4.19/y - t^4.19*y | detail |