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 |
|---|---|---|---|---|---|---|---|---|---|
| 4353 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7478 | 0.937 | 0.7981 | [X:[], M:[0.8091, 1.0817, 1.0276, 0.9724, 0.8643, 1.0, 0.8367, 0.9724, 0.7042], q:[0.6093, 0.5817], qb:[0.4183, 0.5541], phi:[0.4592]] | [X:[], M:[[6, 1], [-2, 0], [-2, -1], [2, 1], [2, -1], [0, 0], [4, 0], [2, 1], [-5, 0]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_9$, $ M_1$, $ M_7$, $ M_5$, $ M_4$, $ M_8$, $ M_6$, $ M_2$, $ M_9^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_9$, $ M_7M_9$, $ \phi_1\tilde{q}_2^2$, $ M_5M_9$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_7$, $ \phi_1q_1q_2$, $ M_1M_5$, $ M_7^2$, $ \phi_1q_1^2$, $ M_4M_9$, $ M_8M_9$, $ M_5M_7$, $ M_6M_9$, $ M_5^2$, $ M_1M_4$, $ M_1M_8$, $ M_2M_9$, $ M_1M_6$, $ M_4M_7$, $ M_7M_8$, $ M_4M_5$, $ M_6M_7$, $ M_5M_8$, $ M_1M_2$, $ M_2M_7$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_2M_5$ | . | -3 | t^2.11 + t^2.43 + t^2.51 + t^2.59 + 2*t^2.92 + t^3. + t^3.24 + t^4.22 + t^4.29 + t^4.38 + t^4.46 + t^4.54 + t^4.62 + t^4.7 + t^4.71 + t^4.78 + t^4.85 + 2*t^4.87 + t^4.94 + t^4.95 + 2*t^5.02 + 3*t^5.03 + t^5.1 + t^5.11 + t^5.19 + 2*t^5.34 + t^5.36 + 2*t^5.43 + 2*t^5.51 + t^5.67 + t^5.76 + 2*t^5.83 + t^5.84 - 3*t^6. - 2*t^6.08 + 2*t^6.16 - t^6.17 + t^6.24 + t^6.34 + t^6.65 + t^6.72 + t^6.73 + t^6.8 + t^6.81 + t^6.82 + 2*t^6.89 + t^6.9 + 2*t^6.97 + 2*t^6.98 + 2*t^7.05 + t^7.06 + 2*t^7.13 + 2*t^7.14 + t^7.15 + 3*t^7.21 + 2*t^7.22 + t^7.28 + 4*t^7.29 + t^7.3 + t^7.36 + 3*t^7.38 + 2*t^7.45 + 4*t^7.46 + t^7.47 + 2*t^7.53 + 3*t^7.54 + 2*t^7.61 + 4*t^7.62 + t^7.63 + 3*t^7.7 + 2*t^7.77 + 4*t^7.78 + 2*t^7.85 + t^7.87 + 3*t^7.94 + 3*t^7.95 + t^8.02 + 2*t^8.1 - 3*t^8.11 + t^8.18 - 2*t^8.2 + 2*t^8.26 + 3*t^8.27 - t^8.28 + t^8.34 + t^8.35 - 2*t^8.43 - t^8.44 + t^8.45 - 6*t^8.51 - 4*t^8.59 + 2*t^8.67 - 2*t^8.68 + 2*t^8.75 + 2*t^8.76 - t^8.83 + t^8.85 - 7*t^8.92 + 2*t^8.93 - t^4.38/y - t^6.49/y - t^6.8/y - t^6.89/y - t^6.97/y - t^7.29/y + t^7.46/y + t^7.54/y + t^7.62/y + t^7.71/y + t^7.78/y + t^7.87/y + t^7.94/y + t^7.95/y + t^8.02/y + (2*t^8.03)/y + t^8.1/y + t^8.11/y + t^8.27/y + (2*t^8.34)/y + t^8.36/y + (3*t^8.43)/y + (3*t^8.51)/y + t^8.59/y - t^8.6/y + t^8.67/y + t^8.76/y + t^8.83/y + t^8.84/y + t^8.92/y - t^4.38*y - t^6.49*y - t^6.8*y - t^6.89*y - t^6.97*y - t^7.29*y + t^7.46*y + t^7.54*y + t^7.62*y + t^7.71*y + t^7.78*y + t^7.87*y + t^7.94*y + t^7.95*y + t^8.02*y + 2*t^8.03*y + t^8.1*y + t^8.11*y + t^8.27*y + 2*t^8.34*y + t^8.36*y + 3*t^8.43*y + 3*t^8.51*y + t^8.59*y - t^8.6*y + t^8.67*y + t^8.76*y + t^8.83*y + t^8.84*y + t^8.92*y | t^2.11/g1^5 + g1^6*g2*t^2.43 + g1^4*t^2.51 + (g1^2*t^2.59)/g2 + 2*g1^2*g2*t^2.92 + t^3. + t^3.24/g1^2 + t^4.22/g1^10 + g1^3*g2*t^4.29 + g1*t^4.38 + t^4.46/(g1*g2) + g1*g2*t^4.54 + t^4.62/g1 + g1*g2^2*t^4.7 + t^4.71/(g1^3*g2) + (g2*t^4.78)/g1 + g1^12*g2^2*t^4.85 + (2*t^4.87)/g1^3 + g1^10*g2*t^4.94 + t^4.95/(g1^5*g2) + 2*g1^8*t^5.02 + t^5.03/(g1^7*g2^2) + (2*g2*t^5.03)/g1^3 + (g1^6*t^5.1)/g2 + t^5.11/g1^5 + (g1^4*t^5.19)/g2^2 + 2*g1^8*g2^2*t^5.34 + t^5.36/g1^7 + 2*g1^6*g2*t^5.43 + 2*g1^4*t^5.51 + g1^4*g2*t^5.67 + g1^2*t^5.76 + 2*g1^4*g2^2*t^5.83 + t^5.84/g2 - 3*t^6. - (2*t^6.08)/(g1^2*g2) + 2*g2*t^6.16 - t^6.17/(g1^4*g2^2) + t^6.24/g1^2 + t^6.34/g1^15 + (g2*t^6.65)/g1^4 + g1^9*g2^2*t^6.72 + t^6.73/g1^6 + g1^7*g2*t^6.8 + (g2^2*t^6.81)/g1^4 + t^6.82/(g1^8*g2) + 2*g1^5*t^6.89 + (g2*t^6.9)/g1^6 + (g1^3*t^6.97)/g2 + g1^7*g2^2*t^6.97 + (2*t^6.98)/g1^8 + (g1*t^7.05)/g2^2 + g1^5*g2*t^7.05 + t^7.06/(g1^10*g2) + g1^3*t^7.13 + g1^7*g2^3*t^7.13 + (2*g2*t^7.14)/g1^8 + t^7.15/(g1^12*g2^2) + 3*g1^5*g2^2*t^7.21 + t^7.22/g1^10 + (g1*t^7.22)/g2 + g1^18*g2^3*t^7.28 + 4*g1^3*g2*t^7.29 + t^7.3/(g1*g2^2) + g1^16*g2^2*t^7.36 + 3*g1*t^7.38 + 2*g1^14*g2*t^7.45 + (2*t^7.46)/(g1*g2) + 2*g1^3*g2^2*t^7.46 + t^7.47/g1^12 + 2*g1^12*t^7.53 + t^7.54/(g1^3*g2^2) + 2*g1*g2*t^7.54 + (2*g1^10*t^7.61)/g2 + (2*t^7.62)/g1 + 2*g1^3*g2^3*t^7.62 + t^7.63/(g1^5*g2^3) + (g1^8*t^7.7)/g2^2 + 2*g1*g2^2*t^7.7 + 2*g1^14*g2^3*t^7.77 + (g1^6*t^7.78)/g2^3 + (3*g2*t^7.78)/g1 + 2*g1^12*g2^2*t^7.85 + t^7.87/g1^3 + 3*g1^10*g2*t^7.94 + t^7.95/(g1^5*g2) + (2*g2^2*t^7.95)/g1 + g1^8*t^8.02 + (g1^6*t^8.1)/g2 + g1^10*g2^2*t^8.1 - (3*t^8.11)/g1^5 + g1^8*g2*t^8.18 - (2*t^8.2)/(g1^7*g2) + 2*g1^10*g2^3*t^8.26 + 2*g1^6*t^8.27 + (g2*t^8.27)/g1^5 - t^8.28/(g1^9*g2^2) + g1^8*g2^2*t^8.34 + (g1^4*t^8.35)/g2 + (g1^2*t^8.43)/g2^2 - 3*g1^6*g2*t^8.43 - t^8.44/(g1^9*g2) + t^8.45/g1^20 - 6*g1^4*t^8.51 - (6*g1^2*t^8.59)/g2 + 2*g1^6*g2^2*t^8.59 + 2*g1^4*g2*t^8.67 - (2*t^8.68)/g2^2 + 2*g1^6*g2^3*t^8.75 + 2*g1^2*t^8.76 - t^8.76/(g1^2*g2^3) + (g2*t^8.76)/g1^9 - g1^4*g2^2*t^8.83 + t^8.85/g1^11 - 7*g1^2*g2*t^8.92 + t^8.93/(g1^13*g2) + (g2^2*t^8.93)/g1^9 - (g1*t^4.38)/y - t^6.49/(g1^4*y) - (g1^7*g2*t^6.8)/y - (g1^5*t^6.89)/y - (g1^3*t^6.97)/(g2*y) - (g1^3*g2*t^7.29)/y + t^7.46/(g1*g2*y) + (g1*g2*t^7.54)/y + t^7.62/(g1*y) + t^7.71/(g1^3*g2*y) + (g2*t^7.78)/(g1*y) + t^7.87/(g1^3*y) + (g1^10*g2*t^7.94)/y + t^7.95/(g1^5*g2*y) + (g1^8*t^8.02)/y + (2*g2*t^8.03)/(g1^3*y) + (g1^6*t^8.1)/(g2*y) + t^8.11/(g1^5*y) + (g1^6*t^8.27)/y + (2*g1^8*g2^2*t^8.34)/y + t^8.36/(g1^7*y) + (3*g1^6*g2*t^8.43)/y + (3*g1^4*t^8.51)/y + (g1^2*t^8.59)/(g2*y) - t^8.6/(g1^9*y) + (g1^4*g2*t^8.67)/y + (g1^2*t^8.76)/y + (g1^4*g2^2*t^8.83)/y + t^8.84/(g2*y) + (g1^2*g2*t^8.92)/y - g1*t^4.38*y - (t^6.49*y)/g1^4 - g1^7*g2*t^6.8*y - g1^5*t^6.89*y - (g1^3*t^6.97*y)/g2 - g1^3*g2*t^7.29*y + (t^7.46*y)/(g1*g2) + g1*g2*t^7.54*y + (t^7.62*y)/g1 + (t^7.71*y)/(g1^3*g2) + (g2*t^7.78*y)/g1 + (t^7.87*y)/g1^3 + g1^10*g2*t^7.94*y + (t^7.95*y)/(g1^5*g2) + g1^8*t^8.02*y + (2*g2*t^8.03*y)/g1^3 + (g1^6*t^8.1*y)/g2 + (t^8.11*y)/g1^5 + g1^6*t^8.27*y + 2*g1^8*g2^2*t^8.34*y + (t^8.36*y)/g1^7 + 3*g1^6*g2*t^8.43*y + 3*g1^4*t^8.51*y + (g1^2*t^8.59*y)/g2 - (t^8.6*y)/g1^9 + g1^4*g2*t^8.67*y + g1^2*t^8.76*y + g1^4*g2^2*t^8.83*y + (t^8.84*y)/g2 + g1^2*g2*t^8.92*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5808 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ + $ M_10M_4$ | 0.7465 | 0.934 | 0.7992 | [X:[], M:[0.8367, 1.0817, 1.0, 1.0, 0.8367, 1.0, 0.8367, 1.0, 0.7042, 1.0], q:[0.5817, 0.5817], qb:[0.4183, 0.5817], phi:[0.4592]] | t^2.11 + 3*t^2.51 + 3*t^3. + t^3.24 + t^4.22 + 3*t^4.38 + 3*t^4.62 + 6*t^4.87 + 6*t^5.02 + 3*t^5.11 + t^5.36 + 6*t^5.51 + 3*t^5.76 - 4*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2350 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_3M_8$ | 0.7274 | 0.8989 | 0.8092 | [X:[], M:[0.7993, 1.0866, 1.0276, 0.9724, 0.8544, 1.0, 0.8268, 0.9724], q:[0.6142, 0.5866], qb:[0.4134, 0.559], phi:[0.4567]] | t^2.4 + t^2.48 + t^2.56 + 2*t^2.92 + t^3. + t^3.26 + t^3.85 + t^4.29 + t^4.37 + t^4.45 + t^4.72 + t^4.8 + t^4.81 + t^4.88 + 2*t^4.89 + 2*t^4.96 + t^4.97 + t^5.04 + t^5.06 + t^5.13 + 2*t^5.32 + 2*t^5.4 + 2*t^5.48 + t^5.66 + t^5.74 + t^5.82 + 2*t^5.83 - 3*t^6. - t^4.37/y - t^4.37*y | detail |