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 |
|---|---|---|---|---|---|---|---|---|---|
| 2991 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ | 0.6541 | 0.8213 | 0.7964 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 530091/810448, c: 332811/405224, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_2\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_4$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$ | . | 0 | t^2.27 + t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 2*t^4.86 + 2*t^5.03 + 3*t^5.19 + 2*t^5.35 + 2*t^5.51 + t^5.68 + t^5.84 + t^6.16 + 4*t^6.32 + 4*t^6.49 + 4*t^6.65 + 4*t^6.81 + 4*t^6.97 + 2*t^7.14 + 2*t^7.3 + 3*t^7.46 + 4*t^7.62 + 6*t^7.78 + 5*t^7.95 + 5*t^8.11 + 2*t^8.27 + t^8.43 + t^8.59 + 2*t^8.76 + 3*t^8.92 - t^4.46/y - t^6.73/y - t^7.38/y + t^7.54/y + t^7.7/y + t^7.86/y + (2*t^8.03)/y + (3*t^8.19)/y + (2*t^8.35)/y + t^8.51/y + (2*t^8.68)/y + (2*t^8.84)/y - t^4.46*y - t^6.73*y - t^7.38*y + t^7.54*y + t^7.7*y + t^7.86*y + 2*t^8.03*y + 3*t^8.19*y + 2*t^8.35*y + t^8.51*y + 2*t^8.68*y + 2*t^8.84*y | t^2.27 + t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 2*t^4.86 + 2*t^5.03 + 3*t^5.19 + 2*t^5.35 + 2*t^5.51 + t^5.68 + t^5.84 + t^6.16 + 4*t^6.32 + 4*t^6.49 + 4*t^6.65 + 4*t^6.81 + 4*t^6.97 + 2*t^7.14 + 2*t^7.3 + 3*t^7.46 + 4*t^7.62 + 6*t^7.78 + 5*t^7.95 + 5*t^8.11 + 2*t^8.27 + t^8.43 + t^8.59 + 2*t^8.76 + 3*t^8.92 - t^4.46/y - t^6.73/y - t^7.38/y + t^7.54/y + t^7.7/y + t^7.86/y + (2*t^8.03)/y + (3*t^8.19)/y + (2*t^8.35)/y + t^8.51/y + (2*t^8.68)/y + (2*t^8.84)/y - t^4.46*y - t^6.73*y - t^7.38*y + t^7.54*y + t^7.7*y + t^7.86*y + 2*t^8.03*y + 3*t^8.19*y + 2*t^8.35*y + t^8.51*y + 2*t^8.68*y + 2*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 3602 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2M_6$ | 0.6353 | 0.7873 | 0.8069 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 1.2432], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.57 + 2*t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.86 + t^5.03 + 2*t^5.19 + 2*t^5.35 + 2*t^5.51 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 257445/405224, c: 159525/202612, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 46/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 3607 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_4M_6$ | 0.666 | 0.8417 | 0.7913 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 0.8649], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.27 + t^2.43 + 2*t^2.59 + t^2.76 + t^2.92 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 3*t^4.86 + 3*t^5.03 + 5*t^5.19 + 3*t^5.35 + 3*t^5.51 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 134949/202612, c: 170543/202612, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 32/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 3609 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6746 | 0.8604 | 0.784 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 0.7027], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.11 + t^2.27 + t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.57 + t^3.73 + 2*t^4.05 + 2*t^4.22 + 2*t^4.38 + 2*t^4.54 + 2*t^4.7 + 3*t^4.86 + 3*t^5.03 + 3*t^5.19 + 2*t^5.35 + 3*t^5.51 + 2*t^5.68 + 2*t^5.84 - t^4.46/y - t^4.46*y | detail | {a: 273345/405224, c: 43580/50653, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 26/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 3608 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1q_2^2$ | 0.6728 | 0.8553 | 0.7867 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 0.7568], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | 2*t^2.27 + t^2.43 + t^2.59 + t^2.76 + t^2.92 + t^3.41 + t^3.57 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + 3*t^4.54 + 2*t^4.7 + 3*t^4.86 + 3*t^5.03 + 4*t^5.19 + 2*t^5.35 + 2*t^5.51 + 2*t^5.68 + 2*t^5.84 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 136323/202612, c: 86643/101306, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 28/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
| 3605 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6466 | 0.8088 | 0.7995 | [X:[], M:[1.1892, 0.7568, 0.8108, 1.1351, 0.8649, 1.0811], q:[0.4324, 0.3784], qb:[0.7568, 0.4865], phi:[0.4865]] | t^2.27 + t^2.43 + t^2.59 + t^2.92 + t^3.24 + t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 2*t^4.86 + t^5.03 + 2*t^5.19 + t^5.35 + 2*t^5.51 + t^5.68 + 2*t^5.84 - t^4.46/y - t^4.46*y | detail | {a: 131013/202612, c: 163869/202612, M1: 44/37, M2: 28/37, M3: 30/37, M4: 42/37, M5: 32/37, M6: 40/37, q1: 16/37, q2: 14/37, qb1: 28/37, qb2: 18/37, phi1: 18/37} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1948 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ | 0.6544 | 0.8218 | 0.7964 | [X:[], M:[1.1943, 0.7395, 0.8057, 1.128, 0.872], q:[0.436, 0.3698], qb:[0.7583, 0.5022], phi:[0.4834]] | t^2.22 + t^2.42 + t^2.62 + t^2.81 + t^2.9 + t^3.38 + t^3.58 + t^3.67 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.44 + t^4.46 + t^4.64 + 2*t^4.83 + 2*t^5.03 + t^5.12 + 2*t^5.23 + t^5.32 + t^5.43 + t^5.52 + t^5.63 + t^5.72 + t^5.8 + t^5.89 - t^6. - t^4.45/y - t^4.45*y | detail |