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 |
|---|---|---|---|---|---|---|---|---|---|
| 1756 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ | 0.6373 | 0.8105 | 0.7863 | [X:[], M:[1.1576, 1.1141, 0.7717, 0.6848], q:[0.75, 0.4783], qb:[0.3641, 0.4076], phi:[0.5]] | [X:[], M:[[3], [-1], [2], [-6]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_4q_1\tilde{q}_1$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_2M_3$, $ M_3q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_4q_1q_2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -1 | t^2.05 + 2*t^2.32 + t^3. + 2*t^3.34 + 2*t^3.47 + t^3.68 + t^3.82 + t^4.03 + t^4.11 + t^4.16 + 3*t^4.37 + 3*t^4.63 + t^5.05 + 2*t^5.32 + 2*t^5.4 + 2*t^5.53 + 3*t^5.66 + t^5.74 + 3*t^5.79 - t^6. + t^6.08 + t^6.13 + t^6.16 + t^6.34 + 3*t^6.42 + 2*t^6.47 + 6*t^6.68 + 3*t^6.82 + 6*t^6.95 + t^7.03 + t^7.11 + t^7.16 + 3*t^7.37 + 2*t^7.45 + t^7.5 + 2*t^7.58 + 3*t^7.63 + 4*t^7.71 + t^7.79 + 3*t^7.84 + 3*t^7.97 + 4*t^8.1 + t^8.14 - t^8.18 + t^8.22 - 3*t^8.32 + 2*t^8.4 + t^8.45 + 3*t^8.48 + t^8.53 + 7*t^8.74 + 2*t^8.79 + 2*t^8.87 - t^4.5/y - t^6.55/y - t^6.82/y + t^7.03/y + t^7.16/y + (2*t^7.37)/y + t^7.63/y - t^7.84/y - t^7.97/y + t^8.05/y + t^8.18/y + (2*t^8.32)/y + (2*t^8.4)/y + t^8.45/y + (2*t^8.53)/y - t^8.61/y + (4*t^8.66)/y + t^8.74/y + (4*t^8.79)/y - t^4.5*y - t^6.55*y - t^6.82*y + t^7.03*y + t^7.16*y + 2*t^7.37*y + t^7.63*y - t^7.84*y - t^7.97*y + t^8.05*y + t^8.18*y + 2*t^8.32*y + 2*t^8.4*y + t^8.45*y + 2*t^8.53*y - t^8.61*y + 4*t^8.66*y + t^8.74*y + 4*t^8.79*y | t^2.05/g1^6 + 2*g1^2*t^2.32 + t^3. + (2*t^3.34)/g1 + 2*g1^3*t^3.47 + t^3.68/g1^2 + g1^2*t^3.82 + t^4.03/g1^3 + t^4.11/g1^12 + g1*t^4.16 + (3*t^4.37)/g1^4 + 3*g1^4*t^4.63 + t^5.05/g1^6 + 2*g1^2*t^5.32 + (2*t^5.4)/g1^7 + (2*t^5.53)/g1^3 + 3*g1*t^5.66 + t^5.74/g1^8 + 3*g1^5*t^5.79 - t^6. + t^6.08/g1^9 + g1^4*t^6.13 + t^6.16/g1^18 + t^6.34/g1 + (3*t^6.42)/g1^10 + 2*g1^3*t^6.47 + (6*t^6.68)/g1^2 + 3*g1^2*t^6.82 + 6*g1^6*t^6.95 + t^7.03/g1^3 + t^7.11/g1^12 + g1*t^7.16 + (3*t^7.37)/g1^4 + (2*t^7.45)/g1^13 + t^7.5 + (2*t^7.58)/g1^9 + 3*g1^4*t^7.63 + (4*t^7.71)/g1^5 + t^7.79/g1^14 + (3*t^7.84)/g1 + 3*g1^3*t^7.97 + 4*g1^7*t^8.1 + t^8.14/g1^15 - t^8.18/g1^2 + t^8.22/g1^24 - 3*g1^2*t^8.32 + (2*t^8.4)/g1^7 + g1^6*t^8.45 + (3*t^8.48)/g1^16 + t^8.53/g1^3 + (7*t^8.74)/g1^8 + 2*g1^5*t^8.79 + (2*t^8.87)/g1^4 - t^4.5/y - t^6.55/(g1^6*y) - (g1^2*t^6.82)/y + t^7.03/(g1^3*y) + (g1*t^7.16)/y + (2*t^7.37)/(g1^4*y) + (g1^4*t^7.63)/y - t^7.84/(g1*y) - (g1^3*t^7.97)/y + t^8.05/(g1^6*y) + t^8.18/(g1^2*y) + (2*g1^2*t^8.32)/y + (2*t^8.4)/(g1^7*y) + (g1^6*t^8.45)/y + (2*t^8.53)/(g1^3*y) - t^8.61/(g1^12*y) + (4*g1*t^8.66)/y + t^8.74/(g1^8*y) + (4*g1^5*t^8.79)/y - t^4.5*y - (t^6.55*y)/g1^6 - g1^2*t^6.82*y + (t^7.03*y)/g1^3 + g1*t^7.16*y + (2*t^7.37*y)/g1^4 + g1^4*t^7.63*y - (t^7.84*y)/g1 - g1^3*t^7.97*y + (t^8.05*y)/g1^6 + (t^8.18*y)/g1^2 + 2*g1^2*t^8.32*y + (2*t^8.4*y)/g1^7 + g1^6*t^8.45*y + (2*t^8.53*y)/g1^3 - (t^8.61*y)/g1^12 + 4*g1*t^8.66*y + (t^8.74*y)/g1^8 + 4*g1^5*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 2759 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_2M_4$ | 0.6196 | 0.7892 | 0.785 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 2*t^2.14 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.64 + t^3.86 + t^4.07 + 4*t^4.29 + 3*t^4.71 + 3*t^5.14 + 3*t^5.36 + 4*t^5.57 + 3*t^5.79 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 27201/43904, c: 34649/43904, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 2758 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_3M_5$ | 0.6193 | 0.7789 | 0.7952 | [X:[], M:[1.1644, 1.1119, 0.7763, 0.6712, 1.2237], q:[0.75, 0.4737], qb:[0.3619, 0.4144], phi:[0.5]] | t^2.01 + t^2.33 + t^3. + 2*t^3.34 + 2*t^3.49 + 2*t^3.67 + t^3.83 + t^4.01 + t^4.03 + t^4.16 + 2*t^4.34 + t^4.66 + t^5.01 + t^5.33 + 2*t^5.35 + 2*t^5.51 + t^5.66 + 2*t^5.68 + t^5.82 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 2760 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1q_2$ | 0.6554 | 0.8429 | 0.7776 | [X:[], M:[1.1512, 1.1163, 0.7675, 0.6976, 0.7675], q:[0.75, 0.4825], qb:[0.3663, 0.4012], phi:[0.5]] | t^2.09 + 3*t^2.3 + t^3. + 2*t^3.35 + 2*t^3.45 + t^3.8 + t^4.05 + t^4.15 + t^4.19 + 4*t^4.4 + 6*t^4.6 + t^5.09 + 3*t^5.3 + 2*t^5.44 + 2*t^5.55 + 5*t^5.65 + 5*t^5.76 - 3*t^6. - t^4.5/y - t^4.5*y | detail | |
| 2757 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ | 0.6476 | 0.8279 | 0.7823 | [X:[], M:[1.1521, 1.116, 0.7681, 0.6958, 0.884], q:[0.75, 0.4819], qb:[0.366, 0.4021], phi:[0.5]] | t^2.09 + 2*t^2.3 + t^2.65 + t^3. + t^3.35 + 2*t^3.46 + t^3.7 + t^3.8 + t^4.04 + t^4.15 + t^4.17 + 3*t^4.39 + 3*t^4.61 + t^4.74 + 2*t^4.96 + t^5.09 + 3*t^5.3 + t^5.44 + 2*t^5.54 + 2*t^5.65 + 3*t^5.76 + t^5.78 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 251 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6426 | 0.8185 | 0.785 | [X:[], M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.75, 0.4348], qb:[0.4076, 0.4076], phi:[0.5]] | 2*t^2.05 + t^2.45 + t^3. + 4*t^3.47 + t^3.55 + t^3.95 + 2*t^4.03 + 4*t^4.11 + 2*t^4.5 + t^4.89 + 2*t^5.05 + t^5.45 + 8*t^5.53 + 2*t^5.61 + 2*t^5.92 - 2*t^6. - t^4.5/y - t^4.5*y | detail |