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 |
|---|---|---|---|---|---|---|---|---|---|
| 643 | 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\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_1M_5$ | 0.6515 | 0.8349 | 0.7802 | [X:[], M:[1.2178, 1.1089, 0.6732, 0.7822, 0.7822], q:[0.75, 0.4232], qb:[0.3589, 0.4678], phi:[0.5]] | [X:[], M:[[2], [1], [-3], [-2], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_5$, $ \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_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_3M_5$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3q_1q_2$, $ M_2M_4$, $ M_2M_5$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_3\phi_1q_2\tilde{q}_1$ | $M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$ | 0 | t^2.02 + 2*t^2.35 + t^2.48 + t^3. + 2*t^3.33 + t^3.52 + t^3.65 + t^3.85 + 2*t^4.04 + t^4.17 + t^4.31 + 2*t^4.37 + t^4.5 + 3*t^4.69 + 2*t^4.83 + t^4.96 + t^5.02 + 4*t^5.35 + t^5.48 + t^5.54 + 4*t^5.67 + t^5.81 + 2*t^5.87 + 2*t^6.06 + 2*t^6.19 + t^6.33 + 4*t^6.39 + 3*t^6.52 + 4*t^6.65 + 3*t^6.71 + t^6.79 + 3*t^6.85 + t^6.98 + 6*t^7.04 + 3*t^7.17 + t^7.31 + 5*t^7.37 + t^7.44 + 2*t^7.56 + 7*t^7.69 + t^7.83 + 3*t^7.89 + t^7.96 + 3*t^8.02 + 3*t^8.08 + 4*t^8.21 + t^8.29 + 4*t^8.41 - t^8.48 + 4*t^8.54 + t^8.61 + 2*t^8.67 + 6*t^8.73 + 5*t^8.87 - t^4.5/y - t^6.52/y - t^6.85/y + t^7.17/y + (2*t^7.37)/y + t^7.5/y + t^7.69/y + t^7.83/y + t^8.02/y + t^8.15/y + (4*t^8.35)/y + (2*t^8.48)/y + (5*t^8.67)/y + (2*t^8.81)/y + (2*t^8.87)/y - t^4.5*y - t^6.52*y - t^6.85*y + t^7.17*y + 2*t^7.37*y + t^7.5*y + t^7.69*y + t^7.83*y + t^8.02*y + t^8.15*y + 4*t^8.35*y + 2*t^8.48*y + 5*t^8.67*y + 2*t^8.81*y + 2*t^8.87*y | t^2.02/g1^3 + (2*t^2.35)/g1^2 + g1^3*t^2.48 + t^3. + 2*g1*t^3.33 + t^3.52/g1^3 + g1^2*t^3.65 + t^3.85/g1^2 + (2*t^4.04)/g1^6 + t^4.17/g1 + g1^4*t^4.31 + (2*t^4.37)/g1^5 + t^4.5 + (3*t^4.69)/g1^4 + 2*g1*t^4.83 + g1^6*t^4.96 + t^5.02/g1^3 + (4*t^5.35)/g1^2 + g1^3*t^5.48 + t^5.54/g1^6 + (4*t^5.67)/g1 + g1^4*t^5.81 + (2*t^5.87)/g1^5 + (2*t^6.06)/g1^9 + (2*t^6.19)/g1^4 + g1*t^6.33 + (4*t^6.39)/g1^8 + (3*t^6.52)/g1^3 + 4*g1^2*t^6.65 + (3*t^6.71)/g1^7 + g1^7*t^6.79 + (3*t^6.85)/g1^2 + g1^3*t^6.98 + (6*t^7.04)/g1^6 + (3*t^7.17)/g1 + g1^4*t^7.31 + (5*t^7.37)/g1^5 + g1^9*t^7.44 + (2*t^7.56)/g1^9 + (7*t^7.69)/g1^4 + g1*t^7.83 + (3*t^7.89)/g1^8 + g1^6*t^7.96 + (3*t^8.02)/g1^3 + (3*t^8.08)/g1^12 + (4*t^8.21)/g1^7 + g1^7*t^8.29 + (4*t^8.41)/g1^11 - g1^3*t^8.48 + (4*t^8.54)/g1^6 + g1^8*t^8.61 + (2*t^8.67)/g1 + (6*t^8.73)/g1^10 + (5*t^8.87)/g1^5 - t^4.5/y - t^6.52/(g1^3*y) - t^6.85/(g1^2*y) + t^7.17/(g1*y) + (2*t^7.37)/(g1^5*y) + t^7.5/y + t^7.69/(g1^4*y) + (g1*t^7.83)/y + t^8.02/(g1^3*y) + (g1^2*t^8.15)/y + (4*t^8.35)/(g1^2*y) + (2*g1^3*t^8.48)/y + (5*t^8.67)/(g1*y) + (2*g1^4*t^8.81)/y + (2*t^8.87)/(g1^5*y) - t^4.5*y - (t^6.52*y)/g1^3 - (t^6.85*y)/g1^2 + (t^7.17*y)/g1 + (2*t^7.37*y)/g1^5 + t^7.5*y + (t^7.69*y)/g1^4 + g1*t^7.83*y + (t^8.02*y)/g1^3 + g1^2*t^8.15*y + (4*t^8.35*y)/g1^2 + 2*g1^3*t^8.48*y + (5*t^8.67*y)/g1 + 2*g1^4*t^8.81*y + (2*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 1968 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_3q_1q_2$ | 0.641 | 0.818 | 0.7835 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 0.8333], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | 2*t^2.25 + 2*t^2.5 + t^3. + 2*t^3.25 + t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 4*t^4.75 + 3*t^5. + 2*t^5.25 + 5*t^5.5 + 4*t^5.75 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 1969/3072, c: 2513/3072, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 5/6, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| 1969 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6668 | 0.8608 | 0.7747 | [X:[], M:[1.2063, 1.1031, 0.6906, 0.7937, 0.7937, 0.8094], q:[0.75, 0.4406], qb:[0.3531, 0.4563], phi:[0.5]] | t^2.07 + 2*t^2.38 + 2*t^2.43 + t^3. + 2*t^3.31 + t^3.62 + t^3.88 + 2*t^4.14 + t^4.19 + t^4.24 + 2*t^4.45 + 2*t^4.5 + 3*t^4.76 + 4*t^4.81 + 3*t^4.86 + t^5.07 + 4*t^5.38 + 2*t^5.43 + 4*t^5.69 + 3*t^5.74 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 398 | 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\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ | 0.6341 | 0.8036 | 0.7891 | [X:[], M:[1.211, 1.1055, 0.6835, 0.789], q:[0.75, 0.4335], qb:[0.3555, 0.461], phi:[0.5]] | t^2.05 + t^2.37 + t^2.45 + t^3. + 2*t^3.32 + t^3.55 + 2*t^3.63 + t^3.87 + 2*t^4.1 + t^4.18 + t^4.27 + t^4.42 + t^4.5 + t^4.73 + t^4.82 + t^4.9 + t^5.05 + 3*t^5.37 + t^5.45 + t^5.6 + 3*t^5.68 + t^5.77 + t^5.92 - t^4.5/y - t^4.5*y | detail |