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 |
|---|---|---|---|---|---|---|---|---|---|
| 3802 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_4q_2\tilde{q}_2$ | 0.5737 | 0.6954 | 0.825 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.9474, 1.2632], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 62961/109744, c: 38159/54872, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 18/19, M6: 24/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_5$, $ q_2\tilde{q}_2$, $ M_4$, $ M_2$, $ M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_5\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | . | -1 | t^2.53 + 2*t^2.84 + t^3.16 + t^3.47 + 2*t^3.79 + 2*t^4.11 + t^4.42 + t^5.05 + 3*t^5.37 + 2*t^5.68 - t^6. + t^6.32 + 4*t^6.63 + 3*t^6.95 + t^7.26 + 2*t^7.58 + 5*t^7.89 + 5*t^8.21 + t^8.53 - 3*t^8.84 - t^4.26/y + (2*t^8.37)/y + (2*t^8.68)/y - t^4.26*y + 2*t^8.37*y + 2*t^8.68*y | t^2.53 + 2*t^2.84 + t^3.16 + t^3.47 + 2*t^3.79 + 2*t^4.11 + t^4.42 + t^5.05 + 3*t^5.37 + 2*t^5.68 - t^6. + t^6.32 + 4*t^6.63 + 3*t^6.95 + t^7.26 + 2*t^7.58 + 5*t^7.89 + 5*t^8.21 + t^8.53 - 3*t^8.84 - t^4.26/y + (2*t^8.37)/y + (2*t^8.68)/y - t^4.26*y + 2*t^8.37*y + 2*t^8.68*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 |
|---|---|---|---|---|---|---|---|---|
| 5428 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_4q_2\tilde{q}_2$ + $ M_4M_7$ | 0.5786 | 0.7036 | 0.8223 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.9474, 1.2632, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | t^2.53 + 3*t^2.84 + t^3.47 + 2*t^3.79 + 2*t^4.11 + t^4.42 + t^5.05 + 4*t^5.37 + 4*t^5.68 - 3*t^6. - t^4.26/y - t^4.26*y | detail | {a: 1671/2888, c: 254/361, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 18/19, M6: 24/19, M7: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3358 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[0.6541, 1.1153, 0.8078, 1.0384, 0.9616, 1.1922], q:[0.7788, 0.5671], qb:[0.6251, 0.2596], phi:[0.4423]] | t^2.48 + t^2.65 + t^2.88 + t^3.12 + t^3.35 + t^3.58 + t^3.81 + t^3.98 + t^4.04 + t^4.21 + t^4.73 + t^4.96 + t^5.13 + t^5.31 + t^5.36 + t^5.54 + t^5.6 + t^5.77 - t^6. - t^4.33/y - t^4.33*y | detail |