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 |
|---|---|---|---|---|---|---|---|---|---|
| 458 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_6$ | 0.6489 | 0.7994 | 0.8117 | [X:[], M:[0.6959, 1.2905, 0.7366, 0.6959, 0.6824, 1.2634], q:[0.8226, 0.8226], qb:[0.4814, 0.4543], phi:[0.3548]] | [X:[], M:[[1, -4, -1], [0, 2, 2], [0, 1, -5], [-1, -3, 0], [0, -5, 1], [0, -1, 5]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_6$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_1M_5$, $ M_4M_5$, $ M_4^2$, $ M_1^2$, $ M_1M_4$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_5M_6$, $ M_1M_6$, $ M_5q_2\tilde{q}_2$, $ M_4M_6$, $ M_5q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_2M_5$, $ M_4q_2\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_1M_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | . | -3 | t^2.05 + 2*t^2.09 + t^2.81 + t^3.79 + 2*t^3.83 + 2*t^3.87 + t^4.09 + 2*t^4.13 + 3*t^4.18 + t^4.85 + 2*t^4.9 + t^4.94 + t^5.61 + t^5.84 + 4*t^5.88 + 5*t^5.92 + 2*t^5.96 - 3*t^6. - 2*t^6.04 - t^6.08 + t^6.14 + 2*t^6.18 + 3*t^6.22 + 4*t^6.26 + t^6.6 + 2*t^6.64 + 2*t^6.68 + t^6.9 + 2*t^6.94 + 3*t^6.98 - 2*t^7.06 - 2*t^7.1 - t^7.15 + t^7.58 + 2*t^7.62 + 5*t^7.66 + 4*t^7.7 + t^7.74 - 2*t^7.78 - t^7.82 + t^7.88 + 4*t^7.93 + 8*t^7.97 + 6*t^8.01 - t^8.05 - 8*t^8.09 - 4*t^8.13 - 2*t^8.17 + t^8.19 + 2*t^8.23 + 3*t^8.27 + 4*t^8.31 + 5*t^8.35 + t^8.42 + t^8.64 + 4*t^8.69 + 5*t^8.73 + 2*t^8.77 - 3*t^8.81 - 4*t^8.85 - 2*t^8.89 + t^8.95 + 2*t^8.99 - t^4.06/y - t^6.11/y - (2*t^6.15)/y + (2*t^7.13)/y + t^7.18/y + t^7.85/y + (2*t^7.9)/y + (2*t^7.98)/y + t^8.02/y - t^8.16/y - (2*t^8.2)/y - (3*t^8.24)/y + t^8.84/y + (4*t^8.88)/y + (6*t^8.92)/y + (4*t^8.96)/y - t^4.06*y - t^6.11*y - 2*t^6.15*y + 2*t^7.13*y + t^7.18*y + t^7.85*y + 2*t^7.9*y + 2*t^7.98*y + t^8.02*y - t^8.16*y - 2*t^8.2*y - 3*t^8.24*y + t^8.84*y + 4*t^8.88*y + 6*t^8.92*y + 4*t^8.96*y | (g3*t^2.05)/g2^5 + t^2.09/(g1*g2^3) + (g1*t^2.09)/(g2^4*g3) + g2^3*g3^3*t^2.81 + (g3^5*t^3.79)/g2 + g1*g3^3*t^3.83 + (g2*g3^4*t^3.83)/g1 + 2*g2^2*g3^2*t^3.87 + (g3^2*t^4.09)/g2^10 + (g1*t^4.13)/g2^9 + (g3*t^4.13)/(g1*g2^8) + t^4.18/(g1^2*g2^6) + (g1^2*t^4.18)/(g2^8*g3^2) + t^4.18/(g2^7*g3) + (g3^4*t^4.85)/g2^2 + (g1*g3^2*t^4.9)/g2 + (g3^3*t^4.9)/g1 + g2*g3*t^4.94 + g2^6*g3^6*t^5.61 + (g3^6*t^5.84)/g2^6 + (2*g1*g3^4*t^5.88)/g2^5 + (2*g3^5*t^5.88)/(g1*g2^4) + (g1^2*g3^2*t^5.92)/g2^4 + (3*g3^3*t^5.92)/g2^3 + (g3^4*t^5.92)/(g1^2*g2^2) + (g1*g3*t^5.96)/g2^2 + (g3^2*t^5.96)/(g1*g2) - 3*t^6. - (g1*g2*t^6.04)/g3^2 - (g2^2*t^6.04)/(g1*g3) - (g2^3*t^6.08)/g3^3 + (g3^3*t^6.14)/g2^15 + (g1*g3*t^6.18)/g2^14 + (g3^2*t^6.18)/(g1*g2^13) + t^6.22/g2^12 + (g1^2*t^6.22)/(g2^13*g3) + (g3*t^6.22)/(g1^2*g2^11) + t^6.26/(g1^3*g2^9) + (g1^3*t^6.26)/(g2^12*g3^3) + (g1*t^6.26)/(g2^11*g3^2) + t^6.26/(g1*g2^10*g3) + g2^2*g3^8*t^6.6 + g1*g2^3*g3^6*t^6.64 + (g2^4*g3^7*t^6.64)/g1 + 2*g2^5*g3^5*t^6.68 + (g3^5*t^6.9)/g2^7 + (g1*g3^3*t^6.94)/g2^6 + (g3^4*t^6.94)/(g1*g2^5) + (g1^2*g3*t^6.98)/g2^5 + (g3^2*t^6.98)/g2^4 + (g3^3*t^6.98)/(g1^2*g2^3) - (2*t^7.06)/(g2*g3) - (g1*t^7.1)/g3^3 - (g2*t^7.1)/(g1*g3^2) - (g2^2*t^7.15)/g3^4 + (g3^10*t^7.58)/g2^2 + (g1*g3^8*t^7.62)/g2 + (g3^9*t^7.62)/g1 + g1^2*g3^6*t^7.66 + 3*g2*g3^7*t^7.66 + (g2^2*g3^8*t^7.66)/g1^2 + 2*g1*g2^2*g3^5*t^7.7 + (2*g2^3*g3^6*t^7.7)/g1 + g2^4*g3^4*t^7.74 - g1*g2^5*g3^2*t^7.78 - (g2^6*g3^3*t^7.78)/g1 - g2^7*g3*t^7.82 + (g3^7*t^7.88)/g2^11 + (2*g1*g3^5*t^7.93)/g2^10 + (2*g3^6*t^7.93)/(g1*g2^9) + (2*g1^2*g3^3*t^7.97)/g2^9 + (4*g3^4*t^7.97)/g2^8 + (2*g3^5*t^7.97)/(g1^2*g2^7) + (g1^3*g3*t^8.01)/g2^8 + (2*g1*g3^2*t^8.01)/g2^7 + (2*g3^3*t^8.01)/(g1*g2^6) + (g3^4*t^8.01)/(g1^3*g2^5) + (g1^2*t^8.05)/g2^6 - (3*g3*t^8.05)/g2^5 + (g3^2*t^8.05)/(g1^2*g2^4) - (4*t^8.09)/(g1*g2^3) - (4*g1*t^8.09)/(g2^4*g3) - (g1^2*t^8.13)/(g2^3*g3^3) - (2*t^8.13)/(g2^2*g3^2) - t^8.13/(g1^2*g2*g3) - (g1*t^8.17)/(g2*g3^4) - t^8.17/(g1*g3^3) + (g3^4*t^8.19)/g2^20 + (g1*g3^2*t^8.23)/g2^19 + (g3^3*t^8.23)/(g1*g2^18) + (g1^2*t^8.27)/g2^18 + (g3*t^8.27)/g2^17 + (g3^2*t^8.27)/(g1^2*g2^16) + t^8.31/(g1*g2^15) + (g1^3*t^8.31)/(g2^17*g3^2) + (g1*t^8.31)/(g2^16*g3) + (g3*t^8.31)/(g1^3*g2^14) + t^8.35/(g1^4*g2^12) + (g1^4*t^8.35)/(g2^16*g3^4) + (g1^2*t^8.35)/(g2^15*g3^3) + t^8.35/(g2^14*g3^2) + t^8.35/(g1^2*g2^13*g3) + g2^9*g3^9*t^8.42 + (g3^9*t^8.64)/g2^3 + (2*g1*g3^7*t^8.69)/g2^2 + (2*g3^8*t^8.69)/(g1*g2) + (g1^2*g3^5*t^8.73)/g2 + 3*g3^6*t^8.73 + (g2*g3^7*t^8.73)/g1^2 + g1*g2*g3^4*t^8.77 + (g2^2*g3^5*t^8.77)/g1 - 3*g2^3*g3^3*t^8.81 - 2*g1*g2^4*g3*t^8.85 - (2*g2^5*g3^2*t^8.85)/g1 - 2*g2^6*t^8.89 + (g3^6*t^8.95)/g2^12 + (g1*g3^4*t^8.99)/g2^11 + (g3^5*t^8.99)/(g1*g2^10) - t^4.06/(g2*g3*y) - t^6.11/(g2^6*y) - (g1*t^6.15)/(g2^5*g3^2*y) - t^6.15/(g1*g2^4*g3*y) + (g1*t^7.13)/(g2^9*y) + (g3*t^7.13)/(g1*g2^8*y) + t^7.18/(g2^7*g3*y) + (g3^4*t^7.85)/(g2^2*y) + (g1*g3^2*t^7.9)/(g2*y) + (g3^3*t^7.9)/(g1*y) + (g2^3*t^7.98)/(g1*y) + (g1*g2^2*t^7.98)/(g3*y) + (g2^4*t^8.02)/(g3^2*y) - (g3*t^8.16)/(g2^11*y) - t^8.2/(g1*g2^9*y) - (g1*t^8.2)/(g2^10*g3*y) - (g1^2*t^8.24)/(g2^9*g3^3*y) - t^8.24/(g2^8*g3^2*y) - t^8.24/(g1^2*g2^7*g3*y) + (g3^6*t^8.84)/(g2^6*y) + (2*g1*g3^4*t^8.88)/(g2^5*y) + (2*g3^5*t^8.88)/(g1*g2^4*y) + (g1^2*g3^2*t^8.92)/(g2^4*y) + (4*g3^3*t^8.92)/(g2^3*y) + (g3^4*t^8.92)/(g1^2*g2^2*y) + (2*g1*g3*t^8.96)/(g2^2*y) + (2*g3^2*t^8.96)/(g1*g2*y) - (t^4.06*y)/(g2*g3) - (t^6.11*y)/g2^6 - (g1*t^6.15*y)/(g2^5*g3^2) - (t^6.15*y)/(g1*g2^4*g3) + (g1*t^7.13*y)/g2^9 + (g3*t^7.13*y)/(g1*g2^8) + (t^7.18*y)/(g2^7*g3) + (g3^4*t^7.85*y)/g2^2 + (g1*g3^2*t^7.9*y)/g2 + (g3^3*t^7.9*y)/g1 + (g2^3*t^7.98*y)/g1 + (g1*g2^2*t^7.98*y)/g3 + (g2^4*t^8.02*y)/g3^2 - (g3*t^8.16*y)/g2^11 - (t^8.2*y)/(g1*g2^9) - (g1*t^8.2*y)/(g2^10*g3) - (g1^2*t^8.24*y)/(g2^9*g3^3) - (t^8.24*y)/(g2^8*g3^2) - (t^8.24*y)/(g1^2*g2^7*g3) + (g3^6*t^8.84*y)/g2^6 + (2*g1*g3^4*t^8.88*y)/g2^5 + (2*g3^5*t^8.88*y)/(g1*g2^4) + (g1^2*g3^2*t^8.92*y)/g2^4 + (4*g3^3*t^8.92*y)/g2^3 + (g3^4*t^8.92*y)/(g1^2*g2^2) + (2*g1*g3*t^8.96*y)/g2^2 + (2*g3^2*t^8.96*y)/(g1*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 754 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_6$ + $ M_4M_6$ | 0.6485 | 0.7962 | 0.8144 | [X:[], M:[0.6921, 1.2959, 0.7101, 0.7101, 0.6981, 1.2899], q:[0.833, 0.8149], qb:[0.4749, 0.4689], phi:[0.3521]] | t^2.08 + t^2.09 + t^2.13 + t^2.83 + t^3.85 + t^3.87 + 2*t^3.89 + t^3.91 + t^4.15 + t^4.17 + t^4.19 + t^4.21 + t^4.22 + t^4.26 + t^4.91 + t^4.93 + t^4.94 + t^4.96 + t^5.66 + t^5.93 + 2*t^5.95 + 2*t^5.96 + 2*t^5.98 - t^6. - t^4.06/y - t^4.06*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 |
|---|---|---|---|---|---|---|---|---|---|
| 283 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6689 | 0.8351 | 0.801 | [X:[], M:[0.6951, 1.3008, 0.7072, 0.6951, 0.6911], q:[0.8252, 0.8252], qb:[0.4797, 0.4716], phi:[0.3496]] | t^2.07 + 2*t^2.09 + t^2.12 + t^2.85 + 2*t^3.89 + 2*t^3.9 + t^4.15 + 2*t^4.16 + 3*t^4.17 + t^4.2 + 2*t^4.21 + t^4.24 + t^4.93 + 2*t^4.94 + t^4.95 + t^4.98 + t^5.71 + 2*t^5.96 + 5*t^5.98 + 2*t^5.99 - 3*t^6. - t^4.05/y - t^4.05*y | detail |