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 |
|---|---|---|---|---|---|---|---|---|---|
| 50878 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2M_3$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7261 | 0.8959 | 0.8105 | [X:[], M:[1.0, 1.0, 1.0, 1.0866, 0.8268, 0.8268, 0.8268], q:[0.4134, 0.5866], qb:[0.5866, 0.5866], phi:[0.4567]] | [X:[], M:[[0, 0], [-2, 2], [2, -2], [2, 2], [-2, -6], [-6, -2], [-4, -4]], q:[[-2, -2], [2, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_6$, $ M_1$, $ M_2$, $ M_3$, $ M_3$, $ M_2$, $ M_4$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_7$, $ M_5M_6$, $ M_7^2$, $ M_6M_7$, $ M_6^2$, $ M_2M_6$, $ M_3M_5$, $ M_1M_5$, $ M_3M_7$, $ M_2M_5$, $ M_3M_6$, $ M_1M_7$, $ M_1M_6$, $ M_2M_7$, $ M_4M_6$, $ M_4M_5$, $ M_4M_7$ | $M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_3^2$ | -4 | 3*t^2.48 + 3*t^3. + t^3.26 + t^3.85 + 3*t^4.37 + 6*t^4.89 + 6*t^4.96 + 6*t^5.48 + 3*t^5.74 - 4*t^6. + 3*t^6.26 + 3*t^6.33 - 3*t^6.52 + 9*t^6.85 + 15*t^7.37 + 10*t^7.44 + t^7.7 + 6*t^7.89 + 9*t^7.96 + 9*t^8.22 - 3*t^8.41 - 15*t^8.48 + 12*t^8.74 + 6*t^8.81 - t^4.37/y - (3*t^6.85)/y + (3*t^7.89)/y + (3*t^7.96)/y + (9*t^8.48)/y + (3*t^8.74)/y - t^4.37*y - 3*t^6.85*y + 3*t^7.89*y + 3*t^7.96*y + 9*t^8.48*y + 3*t^8.74*y | t^2.48/(g1^2*g2^6) + t^2.48/(g1^4*g2^4) + t^2.48/(g1^6*g2^2) + t^3. + (g1^2*t^3.)/g2^2 + (g2^2*t^3.)/g1^2 + g1^2*g2^2*t^3.26 + t^3.85/(g1^5*g2^5) + (g1*t^4.37)/g2^3 + t^4.37/(g1*g2) + (g2*t^4.37)/g1^3 + (g1^7*t^4.89)/g2 + g1^5*g2*t^4.89 + 2*g1^3*g2^3*t^4.89 + g1*g2^5*t^4.89 + (g2^7*t^4.89)/g1 + t^4.96/(g1^4*g2^12) + t^4.96/(g1^6*g2^10) + (2*t^4.96)/(g1^8*g2^8) + t^4.96/(g1^10*g2^6) + t^4.96/(g1^12*g2^4) + t^5.48/g1^8 + t^5.48/g2^8 + t^5.48/(g1^2*g2^6) + (2*t^5.48)/(g1^4*g2^4) + t^5.48/(g1^6*g2^2) + t^5.74/g1^4 + t^5.74/g2^4 + t^5.74/(g1^2*g2^2) - 2*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 + g1^4*t^6.26 + g1^2*g2^2*t^6.26 + g2^4*t^6.26 + t^6.33/(g1^7*g2^11) + t^6.33/(g1^9*g2^9) + t^6.33/(g1^11*g2^7) - g1^6*g2^2*t^6.52 - g1^4*g2^4*t^6.52 - g1^2*g2^6*t^6.52 + t^6.85/(g1*g2^9) + (2*t^6.85)/(g1^3*g2^7) + (3*t^6.85)/(g1^5*g2^5) + (2*t^6.85)/(g1^7*g2^3) + t^6.85/(g1^9*g2) + (g1^5*t^7.37)/g2^7 + (2*g1^3*t^7.37)/g2^5 + (3*g1*t^7.37)/g2^3 + (3*t^7.37)/(g1*g2) + (3*g2*t^7.37)/g1^3 + (2*g2^3*t^7.37)/g1^5 + (g2^5*t^7.37)/g1^7 + t^7.44/(g1^6*g2^18) + t^7.44/(g1^8*g2^16) + (2*t^7.44)/(g1^10*g2^14) + (2*t^7.44)/(g1^12*g2^12) + (2*t^7.44)/(g1^14*g2^10) + t^7.44/(g1^16*g2^8) + t^7.44/(g1^18*g2^6) + t^7.7/(g1^10*g2^10) + (g1^9*t^7.89)/g2^3 + (g1^7*t^7.89)/g2 + g1^5*g2*t^7.89 + g1*g2^5*t^7.89 + (g2^7*t^7.89)/g1 + (g2^9*t^7.89)/g1^3 + t^7.96/(g1^2*g2^14) + t^7.96/(g1^4*g2^12) + (2*t^7.96)/(g1^6*g2^10) + t^7.96/(g1^8*g2^8) + (2*t^7.96)/(g1^10*g2^6) + t^7.96/(g1^12*g2^4) + t^7.96/(g1^14*g2^2) + t^8.22/(g1^2*g2^10) + (2*t^8.22)/(g1^4*g2^8) + (3*t^8.22)/(g1^6*g2^6) + (2*t^8.22)/(g1^8*g2^4) + t^8.22/(g1^10*g2^2) - g1^9*g2^5*t^8.41 - g1^7*g2^7*t^8.41 - g1^5*g2^9*t^8.41 - t^8.48/g1^8 - t^8.48/g2^8 - (4*t^8.48)/(g1^2*g2^6) - (5*t^8.48)/(g1^4*g2^4) - (4*t^8.48)/(g1^6*g2^2) + (2*t^8.74)/g1^4 + (2*g1^2*t^8.74)/g2^6 + (2*t^8.74)/g2^4 + (4*t^8.74)/(g1^2*g2^2) + (2*g2^2*t^8.74)/g1^6 + t^8.81/(g1^9*g2^17) + t^8.81/(g1^11*g2^15) + (2*t^8.81)/(g1^13*g2^13) + t^8.81/(g1^15*g2^11) + t^8.81/(g1^17*g2^9) - t^4.37/(g1*g2*y) - t^6.85/(g1^3*g2^7*y) - t^6.85/(g1^5*g2^5*y) - t^6.85/(g1^7*g2^3*y) + (g1^5*g2*t^7.89)/y + (g1^3*g2^3*t^7.89)/y + (g1*g2^5*t^7.89)/y + t^7.96/(g1^6*g2^10*y) + t^7.96/(g1^8*g2^8*y) + t^7.96/(g1^10*g2^6*y) + t^8.48/(g1^8*y) + t^8.48/(g2^8*y) + (2*t^8.48)/(g1^2*g2^6*y) + (3*t^8.48)/(g1^4*g2^4*y) + (2*t^8.48)/(g1^6*g2^2*y) + t^8.74/(g1^4*y) + t^8.74/(g2^4*y) + t^8.74/(g1^2*g2^2*y) - (t^4.37*y)/(g1*g2) - (t^6.85*y)/(g1^3*g2^7) - (t^6.85*y)/(g1^5*g2^5) - (t^6.85*y)/(g1^7*g2^3) + g1^5*g2*t^7.89*y + g1^3*g2^3*t^7.89*y + g1*g2^5*t^7.89*y + (t^7.96*y)/(g1^6*g2^10) + (t^7.96*y)/(g1^8*g2^8) + (t^7.96*y)/(g1^10*g2^6) + (t^8.48*y)/g1^8 + (t^8.48*y)/g2^8 + (2*t^8.48*y)/(g1^2*g2^6) + (3*t^8.48*y)/(g1^4*g2^4) + (2*t^8.48*y)/(g1^6*g2^2) + (t^8.74*y)/g1^4 + (t^8.74*y)/g2^4 + (t^8.74*y)/(g1^2*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 56160 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2M_3$ + $ M_7\tilde{q}_1\tilde{q}_2$ + $ M_2M_8$ | 0.7274 | 0.8989 | 0.8092 | [X:[], M:[1.0, 1.0276, 0.9724, 1.0866, 0.7993, 0.8544, 0.8268, 0.9724], q:[0.4134, 0.5866], qb:[0.559, 0.6142], 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 | |
| 56161 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2M_3$ + $ M_7\tilde{q}_1\tilde{q}_2$ + $ M_8\phi_1q_1^2$ | 0.7465 | 0.934 | 0.7992 | [X:[], M:[1.0, 1.0, 1.0, 1.0817, 0.8367, 0.8367, 0.8367, 0.7042], q:[0.4183, 0.5817], qb:[0.5817, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47015 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1^2$ + $ M_2M_3$ | 0.7124 | 0.8709 | 0.818 | [X:[], M:[1.0, 1.0, 1.0, 1.0712, 0.8576, 0.8576], q:[0.4288, 0.5712], qb:[0.5712, 0.5712], phi:[0.4644]] | 2*t^2.57 + 3*t^3. + t^3.21 + t^3.43 + t^3.97 + 3*t^4.39 + 6*t^4.82 + 3*t^5.15 + 3*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.39/y - t^4.39*y | detail |