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 |
|---|---|---|---|---|---|---|---|---|---|
| 639 | 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_1M_3$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6508 | 0.8317 | 0.7826 | [X:[], M:[1.2136, 1.1068, 0.7864, 0.7864, 0.7136], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-2], [2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_4M_5$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_2M_5$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_5q_1q_2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_3q_1q_2$, $ M_4q_1q_2$ | $M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$ | 0 | t^2.14 + 2*t^2.36 + t^2.46 + t^3. + 2*t^3.32 + t^3.54 + t^3.64 + t^3.96 + t^4.08 + t^4.18 + 2*t^4.28 + 2*t^4.5 + t^4.6 + 3*t^4.72 + 2*t^4.82 + t^4.92 + t^5.14 + 2*t^5.36 + 3*t^5.46 + 4*t^5.68 + 2*t^5.78 + t^5.9 + t^6.1 + 2*t^6.32 + 3*t^6.42 + 2*t^6.44 + 2*t^6.54 + 6*t^6.64 + 2*t^6.74 + 3*t^6.86 + 3*t^6.96 + t^7.06 + 5*t^7.08 + t^7.18 + 4*t^7.28 + t^7.38 + t^7.5 + 4*t^7.6 + t^7.62 + 2*t^7.72 + 4*t^7.82 + 4*t^7.92 + 4*t^8.04 + t^8.16 + 3*t^8.24 + 2*t^8.26 - t^8.36 + t^8.46 + 4*t^8.56 + t^8.68 + 6*t^8.78 + 3*t^8.8 + 3*t^8.88 + 2*t^8.9 - t^4.5/y - t^6.64/y - t^6.86/y + t^7.18/y + (2*t^7.5)/y + t^7.6/y + t^7.72/y + t^7.82/y + (2*t^8.14)/y + (3*t^8.36)/y + (3*t^8.46)/y + (5*t^8.68)/y + (2*t^8.78)/y + (2*t^8.9)/y - t^4.5*y - t^6.64*y - t^6.86*y + t^7.18*y + 2*t^7.5*y + t^7.6*y + t^7.72*y + t^7.82*y + 2*t^8.14*y + 3*t^8.36*y + 3*t^8.46*y + 5*t^8.68*y + 2*t^8.78*y + 2*t^8.9*y | g1^2*t^2.14 + (2*t^2.36)/g1^2 + g1^3*t^2.46 + t^3. + 2*g1*t^3.32 + t^3.54/g1^3 + g1^2*t^3.64 + g1^3*t^3.96 + t^4.08/g1^6 + t^4.18/g1 + 2*g1^4*t^4.28 + 2*t^4.5 + g1^5*t^4.6 + (3*t^4.72)/g1^4 + 2*g1*t^4.82 + g1^6*t^4.92 + g1^2*t^5.14 + (2*t^5.36)/g1^2 + 3*g1^3*t^5.46 + (4*t^5.68)/g1 + 2*g1^4*t^5.78 + t^5.9/g1^5 + g1^5*t^6.1 + 2*g1*t^6.32 + 3*g1^6*t^6.42 + (2*t^6.44)/g1^8 + (2*t^6.54)/g1^3 + 6*g1^2*t^6.64 + 2*g1^7*t^6.74 + (3*t^6.86)/g1^2 + 3*g1^3*t^6.96 + g1^8*t^7.06 + (5*t^7.08)/g1^6 + t^7.18/g1 + 4*g1^4*t^7.28 + g1^9*t^7.38 + t^7.5 + 4*g1^5*t^7.6 + t^7.62/g1^9 + (2*t^7.72)/g1^4 + 4*g1*t^7.82 + 4*g1^6*t^7.92 + (4*t^8.04)/g1^3 + t^8.16/g1^12 + 3*g1^7*t^8.24 + (2*t^8.26)/g1^7 - t^8.36/g1^2 + g1^3*t^8.46 + 4*g1^8*t^8.56 + t^8.68/g1 + 6*g1^4*t^8.78 + (3*t^8.8)/g1^10 + 3*g1^9*t^8.88 + (2*t^8.9)/g1^5 - t^4.5/y - (g1^2*t^6.64)/y - t^6.86/(g1^2*y) + t^7.18/(g1*y) + (2*t^7.5)/y + (g1^5*t^7.6)/y + t^7.72/(g1^4*y) + (g1*t^7.82)/y + (2*g1^2*t^8.14)/y + (3*t^8.36)/(g1^2*y) + (3*g1^3*t^8.46)/y + (5*t^8.68)/(g1*y) + (2*g1^4*t^8.78)/y + (2*t^8.9)/(g1^5*y) - t^4.5*y - g1^2*t^6.64*y - (t^6.86*y)/g1^2 + (t^7.18*y)/g1 + 2*t^7.5*y + g1^5*t^7.6*y + (t^7.72*y)/g1^4 + g1*t^7.82*y + 2*g1^2*t^8.14*y + (3*t^8.36*y)/g1^2 + 3*g1^3*t^8.46*y + (5*t^8.68*y)/g1 + 2*g1^4*t^8.78*y + (2*t^8.9*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1021 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6716 | 0.8726 | 0.7697 | [X:[], M:[1.2148, 1.1074, 0.7852, 0.7852, 0.7148, 0.6778], q:[0.75, 0.4278], qb:[0.3574, 0.4648], phi:[0.5]] | t^2.03 + t^2.14 + 2*t^2.36 + t^2.47 + t^3. + 2*t^3.32 + t^3.53 + t^3.64 + 2*t^4.07 + 2*t^4.18 + 2*t^4.29 + 2*t^4.39 + 3*t^4.5 + t^4.61 + 3*t^4.71 + 2*t^4.82 + t^4.93 + t^5.03 + t^5.14 + 4*t^5.36 + 3*t^5.47 + t^5.57 + 5*t^5.68 + 2*t^5.79 + t^5.89 - t^4.5/y - t^4.5*y | detail | |
| 1971 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6683 | 0.8627 | 0.7747 | [X:[], M:[1.2206, 1.1103, 0.7794, 0.7794, 0.7206, 0.7794], q:[0.75, 0.4191], qb:[0.3603, 0.4706], phi:[0.5]] | t^2.16 + 3*t^2.34 + t^2.49 + t^3. + 2*t^3.33 + t^3.51 + t^3.99 + t^4.01 + t^4.17 + 2*t^4.32 + 3*t^4.5 + t^4.65 + 6*t^4.68 + 3*t^4.83 + t^4.99 + t^5.16 + 3*t^5.34 + 3*t^5.49 + 6*t^5.67 + t^5.82 + 2*t^5.85 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 1017 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6364 | 0.8069 | 0.7887 | [X:[], M:[1.228, 1.114, 0.772, 0.772, 0.728, 1.158], q:[0.75, 0.408], qb:[0.364, 0.478], phi:[0.5]] | t^2.18 + 2*t^2.32 + t^3. + 2*t^3.34 + 2*t^3.47 + t^3.68 + t^3.95 + t^4.03 + t^4.16 + 2*t^4.37 + 2*t^4.5 + 3*t^4.63 + t^5.18 + 2*t^5.32 + 2*t^5.53 + 5*t^5.66 + 3*t^5.79 - t^6. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 396 | 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_1M_3$ + $ M_1M_4$ | 0.6306 | 0.7937 | 0.7946 | [X:[], M:[1.2171, 1.1085, 0.7829, 0.7829], q:[0.75, 0.4244], qb:[0.3585, 0.4671], phi:[0.5]] | 2*t^2.35 + t^2.48 + t^3. + 2*t^3.33 + t^3.52 + t^3.65 + t^3.85 + t^3.98 + t^4.05 + t^4.17 + t^4.3 + 3*t^4.7 + 2*t^4.83 + t^4.95 + 2*t^5.35 + t^5.48 + 3*t^5.67 + t^5.8 + t^5.87 - t^4.5/y - t^4.5*y | detail | {a: 895529/1420032, c: 1127041/1420032, M1: 157/129, M2: 143/129, M3: 101/129, M4: 101/129, q1: 3/4, q2: 73/172, qb1: 185/516, qb2: 241/516, phi1: 1/2} |