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 |
|---|---|---|---|---|---|---|---|---|---|
| 55479 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6489 | 0.8087 | 0.8024 | [X:[1.5766], M:[0.4234, 1.1922, 0.7883, 0.8467, 0.8078, 0.8273], q:[0.7981, 0.7786], qb:[0.4331, 0.3747], phi:[0.4039]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_4$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5^2$, $ M_3M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_6^2$, $ M_4\phi_1^2$, $ M_4M_6$, $ M_4^2$, $ \phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | t^2.36 + 2*t^2.42 + t^2.48 + t^2.54 + t^3.46 + t^3.64 + t^3.69 + t^3.81 + t^4.67 + 2*t^4.73 + t^4.79 + 5*t^4.85 + 3*t^4.91 + 2*t^4.96 + t^5.02 + t^5.08 + 3*t^5.88 - 2*t^6. + 2*t^6.06 + 2*t^6.12 + t^6.18 + 3*t^6.23 + t^6.29 + t^6.35 + t^6.92 - 2*t^7.04 + 3*t^7.09 + 2*t^7.15 + t^7.21 + 8*t^7.27 + 6*t^7.33 + 4*t^7.39 + 4*t^7.45 + 3*t^7.5 + t^7.56 + 2*t^7.62 + t^8.13 - 2*t^8.25 + 3*t^8.31 - t^8.36 - 5*t^8.42 + 2*t^8.54 + t^8.6 + 5*t^8.66 + 3*t^8.72 + 3*t^8.77 + t^8.83 + t^8.89 - t^4.21/y - t^6.58/y - t^6.64/y - t^6.69/y - t^6.75/y + t^7.67/y + t^7.73/y + (3*t^7.79)/y + (3*t^7.85)/y + (3*t^7.91)/y + (2*t^7.96)/y + t^8.02/y + t^8.82/y + (2*t^8.88)/y - t^4.21*y - t^6.58*y - t^6.64*y - t^6.69*y - t^6.75*y + t^7.67*y + t^7.73*y + 3*t^7.79*y + 3*t^7.85*y + 3*t^7.91*y + 2*t^7.96*y + t^8.02*y + t^8.82*y + 2*t^8.88*y | g1^6*t^2.36 + (2*t^2.42)/g1^4 + t^2.48/g1^14 + t^2.54/g1^24 + g1^24*t^3.46 + t^3.64/g1^6 + t^3.69/g1^16 + t^3.81/g1^36 + g1^22*t^4.67 + 2*g1^12*t^4.73 + g1^2*t^4.79 + (5*t^4.85)/g1^8 + (3*t^4.91)/g1^18 + (2*t^4.96)/g1^28 + t^5.02/g1^38 + t^5.08/g1^48 + 3*g1^20*t^5.88 - 2*t^6. + (2*t^6.06)/g1^10 + (2*t^6.12)/g1^20 + t^6.18/g1^30 + (3*t^6.23)/g1^40 + t^6.29/g1^50 + t^6.35/g1^60 + g1^48*t^6.92 - 2*g1^28*t^7.04 + 3*g1^18*t^7.09 + 2*g1^8*t^7.15 + t^7.21/g1^2 + (8*t^7.27)/g1^12 + (6*t^7.33)/g1^22 + (4*t^7.39)/g1^32 + (4*t^7.45)/g1^42 + (3*t^7.5)/g1^52 + t^7.56/g1^62 + (2*t^7.62)/g1^72 + g1^46*t^8.13 - 2*g1^26*t^8.25 + 3*g1^16*t^8.31 - g1^6*t^8.36 - (5*t^8.42)/g1^4 + (2*t^8.54)/g1^24 + t^8.6/g1^34 + (5*t^8.66)/g1^44 + (3*t^8.72)/g1^54 + (3*t^8.77)/g1^64 + t^8.83/g1^74 + t^8.89/g1^84 - t^4.21/(g1^2*y) - (g1^4*t^6.58)/y - t^6.64/(g1^6*y) - t^6.69/(g1^16*y) - t^6.75/(g1^26*y) + (g1^22*t^7.67)/y + (g1^12*t^7.73)/y + (3*g1^2*t^7.79)/y + (3*t^7.85)/(g1^8*y) + (3*t^7.91)/(g1^18*y) + (2*t^7.96)/(g1^28*y) + t^8.02/(g1^38*y) + (g1^30*t^8.82)/y + (2*g1^20*t^8.88)/y - (t^4.21*y)/g1^2 - g1^4*t^6.58*y - (t^6.64*y)/g1^6 - (t^6.69*y)/g1^16 - (t^6.75*y)/g1^26 + g1^22*t^7.67*y + g1^12*t^7.73*y + 3*g1^2*t^7.79*y + (3*t^7.85*y)/g1^8 + (3*t^7.91*y)/g1^18 + (2*t^7.96*y)/g1^28 + (t^8.02*y)/g1^38 + g1^30*t^8.82*y + 2*g1^20*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 57056 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ | 0.6069 | 0.755 | 0.8039 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.8421, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | t^2.21 + 2*t^2.53 + 2*t^2.84 + t^3.16 + t^3.79 + 2*t^4.11 + 2*t^4.42 + 2*t^4.74 + 5*t^5.05 + 6*t^5.37 + 3*t^5.68 - t^6. - t^4.26/y - t^4.26*y | detail | {a: 66609/109744, c: 41427/54872, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 16/19, M6: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
| 57057 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ | 0.637 | 0.7874 | 0.8089 | [X:[1.5568], M:[0.4432, 1.1856, 0.7784, 0.8863, 0.8144, 0.8504, 1.1137], q:[0.7964, 0.7604], qb:[0.4612, 0.3532], phi:[0.4072]] | t^2.34 + 2*t^2.44 + t^2.55 + 2*t^3.34 + t^3.66 + t^3.77 + t^3.99 + t^4.56 + 2*t^4.67 + t^4.78 + 5*t^4.89 + 2*t^4.99 + t^5.68 + 5*t^5.78 + t^5.89 - 3*t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48132 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ | 0.6345 | 0.7831 | 0.8102 | [X:[1.5667], M:[0.4333, 1.1889, 0.7834, 0.8665, 0.8111], q:[0.7972, 0.7695], qb:[0.4471, 0.364], phi:[0.4055]] | t^2.35 + 2*t^2.43 + t^2.6 + t^3.4 + t^3.48 + t^3.65 + t^3.73 + t^3.9 + t^4.62 + 2*t^4.7 + t^4.78 + 4*t^4.87 + t^4.95 + t^5.03 + t^5.2 + 4*t^5.83 + t^5.92 - 2*t^6. - t^4.22/y - t^4.22*y | detail |