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 |
|---|---|---|---|---|---|---|---|---|---|
| 46409 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6716 | 0.8726 | 0.7697 | [X:[], M:[1.1074, 0.7148, 0.7852, 0.6778], q:[0.75, 0.4278], qb:[0.3574, 0.4648], phi:[0.5]] | [X:[], M:[[1], [2], [-2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_4q_2\tilde{q}_1$, $ M_2M_3$, $ M_2q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4q_1q_2$, $ M_1M_3$, $ M_2q_1q_2$, $ M_3q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_3q_1q_2$, $ q_1q_2^2\tilde{q}_1$ | $q_1q_2\tilde{q}_1\tilde{q}_2$ | 0 | 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 + 2*t^6.1 + 2*t^6.21 + 2*t^6.32 + 4*t^6.42 + 2*t^6.43 + 5*t^6.53 + 7*t^6.64 + 3*t^6.74 + 2*t^6.76 + 5*t^6.86 + 3*t^6.97 + 6*t^7.07 + t^7.08 + 2*t^7.18 + 2*t^7.29 + 4*t^7.39 + t^7.4 + 3*t^7.5 + 2*t^7.6 + 3*t^7.61 + 7*t^7.71 + 6*t^7.82 + t^7.92 + 3*t^7.93 + 3*t^8.03 + 3*t^8.13 - t^8.14 + 4*t^8.24 + t^8.26 + t^8.36 + 4*t^8.46 + t^8.47 + 5*t^8.57 + 3*t^8.58 + 5*t^8.68 + 6*t^8.78 + 6*t^8.79 + 7*t^8.89 + 2*t^8.9 - t^4.5/y - t^6.53/y - t^6.64/y - t^6.86/y + (2*t^7.18)/y + (2*t^7.39)/y + (3*t^7.5)/y + t^7.61/y + t^7.71/y + t^7.82/y + t^8.03/y + (2*t^8.14)/y + (5*t^8.36)/y + (4*t^8.47)/y + (5*t^8.68)/y + (2*t^8.79)/y + t^8.89/y - t^4.5*y - t^6.53*y - t^6.64*y - t^6.86*y + 2*t^7.18*y + 2*t^7.39*y + 3*t^7.5*y + t^7.61*y + t^7.71*y + t^7.82*y + t^8.03*y + 2*t^8.14*y + 5*t^8.36*y + 4*t^8.47*y + 5*t^8.68*y + 2*t^8.79*y + t^8.89*y | t^2.03/g1^3 + g1^2*t^2.14 + (2*t^2.36)/g1^2 + g1^3*t^2.47 + t^3. + 2*g1*t^3.32 + t^3.53/g1^3 + g1^2*t^3.64 + (2*t^4.07)/g1^6 + (2*t^4.18)/g1 + 2*g1^4*t^4.29 + (2*t^4.39)/g1^5 + 3*t^4.5 + g1^5*t^4.61 + (3*t^4.71)/g1^4 + 2*g1*t^4.82 + g1^6*t^4.93 + t^5.03/g1^3 + g1^2*t^5.14 + (4*t^5.36)/g1^2 + 3*g1^3*t^5.47 + t^5.57/g1^6 + (5*t^5.68)/g1 + 2*g1^4*t^5.79 + t^5.89/g1^5 + (2*t^6.1)/g1^9 + (2*t^6.21)/g1^4 + 2*g1*t^6.32 + (4*t^6.42)/g1^8 + 2*g1^6*t^6.43 + (5*t^6.53)/g1^3 + 7*g1^2*t^6.64 + (3*t^6.74)/g1^7 + 2*g1^7*t^6.76 + (5*t^6.86)/g1^2 + 3*g1^3*t^6.97 + (6*t^7.07)/g1^6 + g1^8*t^7.08 + (2*t^7.18)/g1 + 2*g1^4*t^7.29 + (4*t^7.39)/g1^5 + g1^9*t^7.4 + 3*t^7.5 + (2*t^7.6)/g1^9 + 3*g1^5*t^7.61 + (7*t^7.71)/g1^4 + 6*g1*t^7.82 + t^7.92/g1^8 + 3*g1^6*t^7.93 + (3*t^8.03)/g1^3 + (3*t^8.13)/g1^12 - g1^2*t^8.14 + (4*t^8.24)/g1^7 + g1^7*t^8.26 + t^8.36/g1^2 + (4*t^8.46)/g1^11 + g1^3*t^8.47 + (5*t^8.57)/g1^6 + 3*g1^8*t^8.58 + (5*t^8.68)/g1 + (6*t^8.78)/g1^10 + 6*g1^4*t^8.79 + (7*t^8.89)/g1^5 + 2*g1^9*t^8.9 - t^4.5/y - t^6.53/(g1^3*y) - (g1^2*t^6.64)/y - t^6.86/(g1^2*y) + (2*t^7.18)/(g1*y) + (2*t^7.39)/(g1^5*y) + (3*t^7.5)/y + (g1^5*t^7.61)/y + t^7.71/(g1^4*y) + (g1*t^7.82)/y + t^8.03/(g1^3*y) + (2*g1^2*t^8.14)/y + (5*t^8.36)/(g1^2*y) + (4*g1^3*t^8.47)/y + (5*t^8.68)/(g1*y) + (2*g1^4*t^8.79)/y + t^8.89/(g1^5*y) - t^4.5*y - (t^6.53*y)/g1^3 - g1^2*t^6.64*y - (t^6.86*y)/g1^2 + (2*t^7.18*y)/g1 + (2*t^7.39*y)/g1^5 + 3*t^7.5*y + g1^5*t^7.61*y + (t^7.71*y)/g1^4 + g1*t^7.82*y + (t^8.03*y)/g1^3 + 2*g1^2*t^8.14*y + (5*t^8.36*y)/g1^2 + 4*g1^3*t^8.47*y + (5*t^8.68*y)/g1 + 2*g1^4*t^8.79*y + (t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 47034 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_1q_2^2\tilde{q}_1$ | 0.6707 | 0.8707 | 0.7703 | [X:[], M:[1.1, 0.7, 0.8, 0.7], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 2*t^2.1 + 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 6*t^4.2 + 6*t^4.5 + 6*t^4.8 + 2*t^5.1 + 7*t^5.4 + 8*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 10731/16000, c: 13931/16000, M1: 11/10, M2: 7/10, M3: 4/5, M4: 7/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46130 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ | 0.6508 | 0.8317 | 0.7826 | [X:[], M:[1.1068, 0.7136, 0.7864], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]] | 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^4.5/y - t^4.5*y | detail |