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 |
|---|---|---|---|---|---|---|---|---|---|
| 6557 | 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_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ + $ M_9\phi_1q_1\tilde{q}_2$ | 0.6663 | 0.8876 | 0.7506 | [X:[], M:[1.0, 1.0278, 0.9444, 1.2569, 0.6875, 0.7431, 0.7431, 0.7708, 0.7153], q:[0.2431, 0.7569], qb:[0.5, 0.5556], phi:[0.4861]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [-1], [3], [-5]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_9$, $ M_6$, $ M_7$, $ M_8$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ M_5^2$, $ M_5M_9$, $ M_5M_6$, $ M_5M_7$, $ M_9^2$, $ M_5M_8$, $ M_6M_9$, $ M_7M_9$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_8M_9$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6M_8$, $ M_7M_8$, $ M_9q_1\tilde{q}_2$, $ M_8^2$, $ M_6q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_3M_9$, $ M_5\phi_1q_1^2$, $ M_1M_5$, $ M_3M_6$, $ M_3M_7$, $ M_9\phi_1q_1^2$, $ M_2M_5$, $ M_3M_8$, $ M_1M_9$, $ M_6\phi_1q_1^2$, $ M_7\phi_1q_1^2$, $ M_1M_6$, $ M_1M_7$, $ M_2M_9$, $ M_8\phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_2M_7$, $ M_1M_8$, $ \phi_1q_1^3\tilde{q}_2$, $ M_2M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_1^2$, $ M_1M_3$, $ \phi_1^2q_1^4$, $ M_2M_3$ | . | -2 | t^2.06 + t^2.15 + 2*t^2.23 + t^2.31 + t^2.4 + t^2.83 + t^2.92 + t^3. + t^3.08 + t^4.12 + t^4.21 + 3*t^4.29 + 3*t^4.37 + 6*t^4.46 + 3*t^4.54 + 4*t^4.63 + t^4.71 + 2*t^4.79 + t^4.9 + 2*t^4.98 + 3*t^5.06 + 5*t^5.15 + 4*t^5.23 + 4*t^5.31 + 2*t^5.4 + t^5.48 + t^5.67 + t^5.75 + t^5.83 + t^5.92 - 2*t^6. - t^6.17 + t^6.19 + t^6.27 + 3*t^6.35 + 4*t^6.44 + 7*t^6.52 + 7*t^6.6 + 10*t^6.69 + 6*t^6.77 + 8*t^6.85 + 4*t^6.94 + t^6.96 + 5*t^7.02 + 2*t^7.04 + 2*t^7.1 + 4*t^7.12 + 2*t^7.19 + 7*t^7.21 + 9*t^7.29 + 12*t^7.37 + 10*t^7.46 + 9*t^7.54 + 6*t^7.63 + 5*t^7.71 + t^7.73 + 2*t^7.79 + 2*t^7.81 + t^7.88 + 3*t^7.9 + 4*t^7.98 + t^8.06 - 5*t^8.23 + t^8.25 - 5*t^8.31 + t^8.33 - 6*t^8.4 + 3*t^8.42 - 3*t^8.48 + 5*t^8.5 - 2*t^8.56 + 9*t^8.58 + 10*t^8.67 + 14*t^8.75 + 8*t^8.83 + 12*t^8.92 - t^4.46/y - t^6.52/y - t^6.6/y - t^6.69/y - t^6.77/y + t^7.21/y + t^7.29/y + (3*t^7.37)/y + (3*t^7.46)/y + (3*t^7.54)/y + (3*t^7.63)/y + t^7.71/y + t^7.9/y + (2*t^7.98)/y + (4*t^8.06)/y + (6*t^8.15)/y + (6*t^8.23)/y + (5*t^8.31)/y + (3*t^8.4)/y + t^8.48/y - t^8.58/y - t^8.67/y - t^8.75/y - t^8.83/y - t^4.46*y - t^6.52*y - t^6.6*y - t^6.69*y - t^6.77*y + t^7.21*y + t^7.29*y + 3*t^7.37*y + 3*t^7.46*y + 3*t^7.54*y + 3*t^7.63*y + t^7.71*y + t^7.9*y + 2*t^7.98*y + 4*t^8.06*y + 6*t^8.15*y + 6*t^8.23*y + 5*t^8.31*y + 3*t^8.4*y + t^8.48*y - t^8.58*y - t^8.67*y - t^8.75*y - t^8.83*y | t^2.06/g1^9 + t^2.15/g1^5 + (2*t^2.23)/g1 + g1^3*t^2.31 + g1^7*t^2.4 + t^2.83/g1^8 + t^2.92/g1^4 + t^3. + g1^4*t^3.08 + t^4.12/g1^18 + t^4.21/g1^14 + (3*t^4.29)/g1^10 + (3*t^4.37)/g1^6 + (6*t^4.46)/g1^2 + 3*g1^2*t^4.54 + 4*g1^6*t^4.63 + g1^10*t^4.71 + 2*g1^14*t^4.79 + t^4.9/g1^17 + (2*t^4.98)/g1^13 + (3*t^5.06)/g1^9 + (5*t^5.15)/g1^5 + (4*t^5.23)/g1 + 4*g1^3*t^5.31 + 2*g1^7*t^5.4 + g1^11*t^5.48 + t^5.67/g1^16 + t^5.75/g1^12 + t^5.83/g1^8 + t^5.92/g1^4 - 2*t^6. - g1^8*t^6.17 + t^6.19/g1^27 + t^6.27/g1^23 + (3*t^6.35)/g1^19 + (4*t^6.44)/g1^15 + (7*t^6.52)/g1^11 + (7*t^6.6)/g1^7 + (10*t^6.69)/g1^3 + 6*g1*t^6.77 + 8*g1^5*t^6.85 + 4*g1^9*t^6.94 + t^6.96/g1^26 + 5*g1^13*t^7.02 + (2*t^7.04)/g1^22 + 2*g1^17*t^7.1 + (4*t^7.12)/g1^18 + 2*g1^21*t^7.19 + (7*t^7.21)/g1^14 + (9*t^7.29)/g1^10 + (12*t^7.37)/g1^6 + (10*t^7.46)/g1^2 + 9*g1^2*t^7.54 + 6*g1^6*t^7.63 + 5*g1^10*t^7.71 + t^7.73/g1^25 + 2*g1^14*t^7.79 + (2*t^7.81)/g1^21 + g1^18*t^7.88 + (3*t^7.9)/g1^17 + (4*t^7.98)/g1^13 + t^8.06/g1^9 - (5*t^8.23)/g1 + t^8.25/g1^36 - 5*g1^3*t^8.31 + t^8.33/g1^32 - 6*g1^7*t^8.4 + (3*t^8.42)/g1^28 - 3*g1^11*t^8.48 + (5*t^8.5)/g1^24 - 2*g1^15*t^8.56 + (9*t^8.58)/g1^20 + (10*t^8.67)/g1^16 + (14*t^8.75)/g1^12 + (8*t^8.83)/g1^8 + (12*t^8.92)/g1^4 - t^4.46/(g1^2*y) - t^6.52/(g1^11*y) - t^6.6/(g1^7*y) - t^6.69/(g1^3*y) - (g1*t^6.77)/y + t^7.21/(g1^14*y) + t^7.29/(g1^10*y) + (3*t^7.37)/(g1^6*y) + (3*t^7.46)/(g1^2*y) + (3*g1^2*t^7.54)/y + (3*g1^6*t^7.63)/y + (g1^10*t^7.71)/y + t^7.9/(g1^17*y) + (2*t^7.98)/(g1^13*y) + (4*t^8.06)/(g1^9*y) + (6*t^8.15)/(g1^5*y) + (6*t^8.23)/(g1*y) + (5*g1^3*t^8.31)/y + (3*g1^7*t^8.4)/y + (g1^11*t^8.48)/y - t^8.58/(g1^20*y) - t^8.67/(g1^16*y) - t^8.75/(g1^12*y) - t^8.83/(g1^8*y) - (t^4.46*y)/g1^2 - (t^6.52*y)/g1^11 - (t^6.6*y)/g1^7 - (t^6.69*y)/g1^3 - g1*t^6.77*y + (t^7.21*y)/g1^14 + (t^7.29*y)/g1^10 + (3*t^7.37*y)/g1^6 + (3*t^7.46*y)/g1^2 + 3*g1^2*t^7.54*y + 3*g1^6*t^7.63*y + g1^10*t^7.71*y + (t^7.9*y)/g1^17 + (2*t^7.98*y)/g1^13 + (4*t^8.06*y)/g1^9 + (6*t^8.15*y)/g1^5 + (6*t^8.23*y)/g1 + 5*g1^3*t^8.31*y + 3*g1^7*t^8.4*y + g1^11*t^8.48*y - (t^8.58*y)/g1^20 - (t^8.67*y)/g1^16 - (t^8.75*y)/g1^12 - (t^8.83*y)/g1^8 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4960 | 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_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6461 | 0.8496 | 0.7605 | [X:[], M:[1.0, 1.0247, 0.9507, 1.2562, 0.6945, 0.7438, 0.7438, 0.7685], q:[0.2438, 0.7562], qb:[0.5, 0.5493], phi:[0.4877]] | t^2.08 + 2*t^2.23 + t^2.31 + t^2.38 + t^2.85 + t^2.93 + t^3. + t^3.07 + t^3.84 + t^4.17 + 2*t^4.32 + t^4.39 + 5*t^4.46 + 2*t^4.54 + 4*t^4.61 + t^4.68 + 2*t^4.76 + t^4.94 + t^5.01 + 2*t^5.08 + 4*t^5.16 + 3*t^5.23 + 4*t^5.31 + 2*t^5.38 + t^5.45 + t^5.7 + t^5.78 + t^5.85 + 2*t^5.93 - 2*t^6. - t^4.46/y - t^4.46*y | detail |