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 |
|---|---|---|---|---|---|---|---|---|---|
| 207 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ | 0.7729 | 0.9519 | 0.812 | [X:[], M:[0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]] | [X:[], M:[[0, -2, -2], [1, -4, -2], [-1, 0, -2], [-1, -2, 0]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_2M_4$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_3^2$, $ M_2^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | $M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$ | -4 | t^2.24 + 4*t^2.33 + t^3.58 + t^3.67 + t^4.48 + 4*t^4.57 + 10*t^4.67 + 3*t^4.74 + 4*t^4.83 + 3*t^4.92 + t^5.82 + t^5.91 - 4*t^6. - 4*t^6.09 + t^6.73 + 4*t^6.82 + 10*t^6.91 + 3*t^6.98 + 20*t^7. + 12*t^7.08 + t^7.15 + 12*t^7.17 + t^7.24 + 8*t^7.26 + t^8.06 + t^8.15 - 7*t^8.24 + 3*t^8.32 - 22*t^8.33 - 13*t^8.42 - 4*t^8.5 - 4*t^8.59 + t^8.97 - t^4.17/y - t^6.41/y - (4*t^6.5)/y + (4*t^7.57)/y + (6*t^7.67)/y + (4*t^7.83)/y + t^7.92/y - t^8.65/y - (4*t^8.74)/y + t^8.82/y - (10*t^8.83)/y + (5*t^8.91)/y - t^4.17*y - t^6.41*y - 4*t^6.5*y + 4*t^7.57*y + 6*t^7.67*y + 4*t^7.83*y + t^7.92*y - t^8.65*y - 4*t^8.74*y + t^8.82*y - 10*t^8.83*y + 5*t^8.91*y | t^2.24/(g1*g2^2) + t^2.33/(g1*g3^2) + (g1*t^2.33)/(g2^4*g3^2) + (2*t^2.33)/(g2^2*g3^2) + (g2^2*g3^4*t^3.58)/g1 + g2^2*g3^2*t^3.67 + t^4.48/(g1^2*g2^4) + t^4.57/(g2^6*g3^2) + (2*t^4.57)/(g1*g2^4*g3^2) + t^4.57/(g1^2*g2^2*g3^2) + t^4.67/(g1^2*g3^4) + (g1^2*t^4.67)/(g2^8*g3^4) + (2*g1*t^4.67)/(g2^6*g3^4) + (4*t^4.67)/(g2^4*g3^4) + (2*t^4.67)/(g1*g2^2*g3^4) + (g3^3*t^4.74)/g2 + (g2*g3^3*t^4.74)/g1 + (g2^3*g3^3*t^4.74)/g1^2 + (g1*g3*t^4.83)/g2 + 2*g2*g3*t^4.83 + (g2^3*g3*t^4.83)/g1 + (g1^2*t^4.92)/(g2*g3) + (g1*g2*t^4.92)/g3 + (g2^3*t^4.92)/g3 + (g3^4*t^5.82)/g1^2 + (g3^2*t^5.91)/g1 - 2*t^6. - (g1*t^6.)/g2^2 - (g2^2*t^6.)/g1 - (2*g1*t^6.09)/g3^2 - (g1^2*t^6.09)/(g2^2*g3^2) - (g2^2*t^6.09)/g3^2 + t^6.73/(g1^3*g2^6) + t^6.82/(g1*g2^8*g3^2) + (2*t^6.82)/(g1^2*g2^6*g3^2) + t^6.82/(g1^3*g2^4*g3^2) + (g1*t^6.91)/(g2^10*g3^4) + (2*t^6.91)/(g2^8*g3^4) + (4*t^6.91)/(g1*g2^6*g3^4) + (2*t^6.91)/(g1^2*g2^4*g3^4) + t^6.91/(g1^3*g2^2*g3^4) + (g3^3*t^6.98)/(g1*g2^3) + (g3^3*t^6.98)/(g1^2*g2) + (g2*g3^3*t^6.98)/g1^3 + t^7./(g1^3*g3^6) + (g1^3*t^7.)/(g2^12*g3^6) + (2*g1^2*t^7.)/(g2^10*g3^6) + (4*g1*t^7.)/(g2^8*g3^6) + (6*t^7.)/(g2^6*g3^6) + (4*t^7.)/(g1*g2^4*g3^6) + (2*t^7.)/(g1^2*g2^2*g3^6) + (g1*g3*t^7.08)/g2^5 + (3*g3*t^7.08)/g2^3 + (4*g3*t^7.08)/(g1*g2) + (3*g2*g3*t^7.08)/g1^2 + (g2^3*g3*t^7.08)/g1^3 + (g2^4*g3^8*t^7.15)/g1^2 + (g1^2*t^7.17)/(g2^5*g3) + (3*g1*t^7.17)/(g2^3*g3) + (4*t^7.17)/(g2*g3) + (3*g2*t^7.17)/(g1*g3) + (g2^3*t^7.17)/(g1^2*g3) + (g2^4*g3^6*t^7.24)/g1 + (g1^3*t^7.26)/(g2^5*g3^3) + (2*g1^2*t^7.26)/(g2^3*g3^3) + (2*g1*t^7.26)/(g2*g3^3) + (2*g2*t^7.26)/g3^3 + (g2^3*t^7.26)/(g1*g3^3) + (g3^4*t^8.06)/(g1^3*g2^2) + (g3^2*t^8.15)/(g1^2*g2^2) - (2*t^8.24)/g1^2 - (2*t^8.24)/g2^4 - (3*t^8.24)/(g1*g2^2) + (g2*g3^7*t^8.32)/g1 + (g2^3*g3^7*t^8.32)/g1^2 + (g2^5*g3^7*t^8.32)/g1^3 - (6*t^8.33)/(g1*g3^2) - (g1^2*t^8.33)/(g2^6*g3^2) - (6*g1*t^8.33)/(g2^4*g3^2) - (8*t^8.33)/(g2^2*g3^2) - (g2^2*t^8.33)/(g1^2*g3^2) - (3*t^8.42)/g3^4 - (g1^3*t^8.42)/(g2^6*g3^4) - (3*g1^2*t^8.42)/(g2^4*g3^4) - (5*g1*t^8.42)/(g2^2*g3^4) - (g2^2*t^8.42)/(g1*g3^4) - g1*g2*g3^3*t^8.5 - 2*g2^3*g3^3*t^8.5 - (g2^5*g3^3*t^8.5)/g1 - g1^2*g2*g3*t^8.59 - 2*g1*g2^3*g3*t^8.59 - g2^5*g3*t^8.59 + t^8.97/(g1^4*g2^8) - t^4.17/(g2*g3*y) - t^6.41/(g1*g2^3*g3*y) - (g1*t^6.5)/(g2^5*g3^3*y) - (2*t^6.5)/(g2^3*g3^3*y) - t^6.5/(g1*g2*g3^3*y) + t^7.57/(g2^6*g3^2*y) + (2*t^7.57)/(g1*g2^4*g3^2*y) + t^7.57/(g1^2*g2^2*g3^2*y) + (2*g1*t^7.67)/(g2^6*g3^4*y) + (2*t^7.67)/(g2^4*g3^4*y) + (2*t^7.67)/(g1*g2^2*g3^4*y) + (g1*g3*t^7.83)/(g2*y) + (2*g2*g3*t^7.83)/y + (g2^3*g3*t^7.83)/(g1*y) + (g1*g2*t^7.92)/(g3*y) - t^8.65/(g1^2*g2^5*g3*y) - t^8.74/(g2^7*g3^3*y) - (2*t^8.74)/(g1*g2^5*g3^3*y) - t^8.74/(g1^2*g2^3*g3^3*y) + (g3^4*t^8.82)/(g1^2*y) - (g1^2*t^8.83)/(g2^9*g3^5*y) - (2*g1*t^8.83)/(g2^7*g3^5*y) - (4*t^8.83)/(g2^5*g3^5*y) - (2*t^8.83)/(g1*g2^3*g3^5*y) - t^8.83/(g1^2*g2*g3^5*y) + (3*g3^2*t^8.91)/(g1*y) + (g3^2*t^8.91)/(g2^2*y) + (g2^2*g3^2*t^8.91)/(g1^2*y) - (t^4.17*y)/(g2*g3) - (t^6.41*y)/(g1*g2^3*g3) - (g1*t^6.5*y)/(g2^5*g3^3) - (2*t^6.5*y)/(g2^3*g3^3) - (t^6.5*y)/(g1*g2*g3^3) + (t^7.57*y)/(g2^6*g3^2) + (2*t^7.57*y)/(g1*g2^4*g3^2) + (t^7.57*y)/(g1^2*g2^2*g3^2) + (2*g1*t^7.67*y)/(g2^6*g3^4) + (2*t^7.67*y)/(g2^4*g3^4) + (2*t^7.67*y)/(g1*g2^2*g3^4) + (g1*g3*t^7.83*y)/g2 + 2*g2*g3*t^7.83*y + (g2^3*g3*t^7.83*y)/g1 + (g1*g2*t^7.92*y)/g3 - (t^8.65*y)/(g1^2*g2^5*g3) - (t^8.74*y)/(g2^7*g3^3) - (2*t^8.74*y)/(g1*g2^5*g3^3) - (t^8.74*y)/(g1^2*g2^3*g3^3) + (g3^4*t^8.82*y)/g1^2 - (g1^2*t^8.83*y)/(g2^9*g3^5) - (2*g1*t^8.83*y)/(g2^7*g3^5) - (4*t^8.83*y)/(g2^5*g3^5) - (2*t^8.83*y)/(g1*g2^3*g3^5) - (t^8.83*y)/(g1^2*g2*g3^5) + (3*g3^2*t^8.91*y)/g1 + (g3^2*t^8.91*y)/g2^2 + (g2^2*g3^2*t^8.91*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 330 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_1M_4$ | 0.7046 | 0.8591 | 0.8202 | [X:[], M:[0.9439, 0.9439, 0.9439, 1.0561], q:[0.5841, 0.472], qb:[0.472, 0.5841], phi:[0.472]] | 4*t^2.83 + 2*t^3.17 + t^3.5 + 3*t^4.25 + 4*t^4.58 + 3*t^4.92 + 6*t^5.66 - t^4.42/y - t^4.42*y | detail | |
| 329 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | t^2.37 + 2*t^2.71 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.07 + t^4.3 + t^4.41 + t^4.53 + 2*t^4.64 + t^4.74 + t^4.75 + t^4.87 + t^4.99 + 2*t^5.08 + t^5.22 + t^5.32 + 3*t^5.43 + t^5.66 + t^5.89 - t^6. - t^4.36/y - t^4.36*y | detail | |
| 332 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_5$ | 0.7566 | 0.9235 | 0.8193 | [X:[], M:[0.7979, 0.8325, 0.7634, 0.7634, 1.1675], q:[0.5665, 0.6356], qb:[0.601, 0.601], phi:[0.399]] | 2*t^2.29 + 2*t^2.39 + 2*t^3.5 + t^3.61 + 3*t^4.58 + t^4.6 + 4*t^4.68 + 2*t^4.7 + 3*t^4.79 + 4*t^4.8 + 2*t^4.91 + t^5.01 + 3*t^5.79 + 2*t^5.9 - 4*t^6. - t^4.2/y - t^4.2*y | detail | |
| 328 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]] | 4*t^2.56 + t^3. + t^3.44 + t^3.88 + 3*t^4.28 + 4*t^4.72 + 10*t^5.12 + 3*t^5.16 - 3*t^6. - t^4.28/y - t^4.28*y | detail | |
| 336 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.7904 | 0.9838 | 0.8034 | [X:[], M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]] | 6*t^2.29 + t^3.71 + 21*t^4.57 + 10*t^4.86 - 10*t^6. - t^4.14/y - t^4.14*y | detail | {a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 126 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ | 0.7546 | 0.9174 | 0.8226 | [X:[], M:[0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]] | 4*t^2.37 + 3*t^3.63 + 10*t^4.74 + 10*t^4.81 - 4*t^6. - t^4.19/y - t^4.19*y | detail |