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 |
|---|---|---|---|---|---|---|---|---|---|
| 46352 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ | 0.6815 | 0.8422 | 0.8091 | [X:[], M:[0.9604, 0.9689, 1.1268, 0.8732, 0.6818], q:[0.5988, 0.4408], qb:[0.4324, 0.7817], phi:[0.4366]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [0, -4], [2, 10]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4M_5$, $ M_5\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_5$, $ M_2M_5$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_5\phi_1\tilde{q}_1^2$ | . | -3 | t^2.05 + 2*t^2.62 + t^2.88 + t^2.91 + t^3.64 + t^3.67 + t^3.9 + t^3.93 + t^4.09 + t^4.14 + t^4.4 + t^4.43 + 2*t^4.66 + t^4.9 + t^4.93 + t^4.95 + 3*t^5.24 + t^5.5 + t^5.53 + t^5.69 + t^5.71 + t^5.76 + t^5.79 + t^5.81 + t^5.95 - 3*t^6. - t^6.03 + t^6.14 + t^6.19 + t^6.26 + t^6.29 + t^6.45 - t^6.5 + 3*t^6.52 + 3*t^6.55 + t^6.57 + 2*t^6.71 + t^6.79 + t^6.81 + t^6.95 + t^6.97 + t^7. + t^7.02 + t^7.05 + 3*t^7.28 + t^7.52 + 2*t^7.55 + 2*t^7.57 + t^7.73 + t^7.76 + 2*t^7.81 + 2*t^7.83 + 5*t^7.86 + t^7.99 - 2*t^8.05 + t^8.12 + t^8.15 + t^8.18 + t^8.23 + 2*t^8.31 + t^8.33 - t^8.36 + t^8.38 + t^8.41 + t^8.43 + t^8.49 + 4*t^8.57 + t^8.59 - 5*t^8.62 - t^8.64 + t^8.67 + t^8.69 + t^8.72 + 2*t^8.76 + t^8.81 + t^8.83 - 2*t^8.88 - 2*t^8.91 - t^8.93 + t^8.99 - t^4.31/y - t^6.36/y - t^6.93/y - t^7.19/y - t^7.22/y + t^7.4/y + t^7.43/y + (2*t^7.66)/y + t^7.69/y + t^7.93/y + t^7.95/y + t^8.24/y + t^8.26/y - t^8.4/y + (2*t^8.5)/y + (2*t^8.53)/y + t^8.69/y + t^8.71/y + t^8.79/y + t^8.95/y - t^4.31*y - t^6.36*y - t^6.93*y - t^7.19*y - t^7.22*y + t^7.4*y + t^7.43*y + 2*t^7.66*y + t^7.69*y + t^7.93*y + t^7.95*y + t^8.24*y + t^8.26*y - t^8.4*y + 2*t^8.5*y + 2*t^8.53*y + t^8.69*y + t^8.71*y + t^8.79*y + t^8.95*y | g1^2*g2^10*t^2.05 + (2*t^2.62)/g2^4 + (g1*t^2.88)/g2^7 + t^2.91/(g1*g2^11) + g1*g2*t^3.64 + t^3.67/(g1*g2^3) + (g1^2*t^3.9)/g2^2 + t^3.93/g2^6 + g1^4*g2^20*t^4.09 + g2^12*t^4.14 + g1*g2^9*t^4.4 + (g2^5*t^4.43)/g1 + 2*g1^2*g2^6*t^4.66 + g2^20*t^4.9 + g1^3*g2^3*t^4.93 + (g1*t^4.95)/g2 + (3*t^5.24)/g2^8 + (g1*t^5.5)/g2^11 + t^5.53/(g1*g2^15) + g1^3*g2^11*t^5.69 + g1*g2^7*t^5.71 + (g1^2*t^5.76)/g2^14 + t^5.79/g2^18 + t^5.81/(g1^2*g2^22) + g1^4*g2^8*t^5.95 - 3*t^6. - t^6.03/(g1^2*g2^4) + g1^6*g2^30*t^6.14 + g1^2*g2^22*t^6.19 + (g1*t^6.26)/g2^3 + t^6.29/(g1*g2^7) + g1^3*g2^19*t^6.45 - (g2^11*t^6.5)/g1 + (3*g1^2*t^6.52)/g2^6 + (3*t^6.55)/g2^10 + t^6.57/(g1^2*g2^14) + 2*g1^4*g2^16*t^6.71 + (g1^3*t^6.79)/g2^9 + (g1*t^6.81)/g2^13 + g1^2*g2^30*t^6.95 + g1^5*g2^13*t^6.97 + g1^3*g2^9*t^7. + g1*g2^5*t^7.02 + (g2*t^7.05)/g1 + 3*g1^2*g2^2*t^7.28 + g2^16*t^7.52 + (2*g1^3*t^7.55)/g2 + (2*g1*t^7.57)/g2^5 + g1^5*g2^21*t^7.73 + g1^3*g2^17*t^7.76 + (2*g1^4*t^7.81)/g2^4 + (2*g1^2*t^7.83)/g2^8 + (5*t^7.86)/g2^12 + g1^6*g2^18*t^7.99 - 2*g1^2*g2^10*t^8.05 + (g1*t^8.12)/g2^15 + t^8.15/(g1*g2^19) + g1^8*g2^40*t^8.18 + g1^4*g2^32*t^8.23 + 2*g1^3*g2^7*t^8.31 + g1*g2^3*t^8.33 - t^8.36/(g1*g2) + (g1^2*t^8.38)/g2^18 + t^8.41/g2^22 + t^8.43/(g1^2*g2^26) + g1^5*g2^29*t^8.49 + 3*g1^4*g2^4*t^8.57 + (g2^17*t^8.57)/g1 + g1^2*t^8.59 - (5*t^8.62)/g2^4 + (g1^3*t^8.64)/g2^21 - (2*t^8.64)/(g1^2*g2^8) + (g1*t^8.67)/g2^25 + t^8.69/(g1*g2^29) + t^8.72/(g1^3*g2^33) + 2*g1^6*g2^26*t^8.76 + g1^2*g2^18*t^8.81 + g1^5*g2*t^8.83 - (2*g1*t^8.88)/g2^7 - (2*t^8.91)/(g1*g2^11) - t^8.93/(g1^3*g2^15) + g1^4*g2^40*t^8.99 - t^4.31/(g2^2*y) - (g1^2*g2^8*t^6.36)/y - t^6.93/(g2^6*y) - (g1*t^7.19)/(g2^9*y) - t^7.22/(g1*g2^13*y) + (g1*g2^9*t^7.4)/y + (g2^5*t^7.43)/(g1*y) + (2*g1^2*g2^6*t^7.66)/y + (g2^2*t^7.69)/y + (g1^3*g2^3*t^7.93)/y + (g1*t^7.95)/(g2*y) + t^8.24/(g2^8*y) + t^8.26/(g1^2*g2^12*y) - (g1^4*g2^18*t^8.4)/y + (2*g1*t^8.5)/(g2^11*y) + (2*t^8.53)/(g1*g2^15*y) + (g1^3*g2^11*t^8.69)/y + (g1*g2^7*t^8.71)/y + t^8.79/(g2^18*y) + (g1^4*g2^8*t^8.95)/y - (t^4.31*y)/g2^2 - g1^2*g2^8*t^6.36*y - (t^6.93*y)/g2^6 - (g1*t^7.19*y)/g2^9 - (t^7.22*y)/(g1*g2^13) + g1*g2^9*t^7.4*y + (g2^5*t^7.43*y)/g1 + 2*g1^2*g2^6*t^7.66*y + g2^2*t^7.69*y + g1^3*g2^3*t^7.93*y + (g1*t^7.95*y)/g2 + (t^8.24*y)/g2^8 + (t^8.26*y)/(g1^2*g2^12) - g1^4*g2^18*t^8.4*y + (2*g1*t^8.5*y)/g2^11 + (2*t^8.53*y)/(g1*g2^15) + g1^3*g2^11*t^8.69*y + g1*g2^7*t^8.71*y + (t^8.79*y)/g2^18 + g1^4*g2^8*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 47020 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1M_4$ | 0.6687 | 0.8234 | 0.8121 | [X:[], M:[1.0874, 1.0193, 1.0874, 0.9126, 0.6991], q:[0.4903, 0.4223], qb:[0.4903, 0.7718], phi:[0.4563]] | t^2.1 + 2*t^2.74 + t^3.06 + t^3.26 + t^3.58 + 2*t^3.79 + 2*t^4.11 + t^4.19 + 3*t^4.31 + 2*t^4.84 + t^5.16 + t^5.36 + 3*t^5.48 + t^5.68 + 2*t^5.88 - 3*t^6. - t^4.37/y - t^4.37*y | detail | |
| 46942 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1^2$ | 0.6802 | 0.8389 | 0.8108 | [X:[], M:[1.0, 0.9814, 1.1152, 0.8848, 0.6914], q:[0.5669, 0.4331], qb:[0.4517, 0.7788], phi:[0.4424]] | t^2.07 + 2*t^2.65 + t^2.94 + t^3. + t^3.64 + t^3.69 + t^3.98 + 2*t^4.04 + t^4.15 + t^4.33 + t^4.38 + 3*t^4.73 + t^5.02 + t^5.07 + 3*t^5.31 + t^5.6 + t^5.65 + t^5.71 + t^5.77 + t^5.89 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 48278 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6779 | 0.8345 | 0.8124 | [X:[], M:[0.9891, 0.93, 1.1291, 0.8709, 0.7527], q:[0.605, 0.4059], qb:[0.465, 0.7823], phi:[0.4355]] | t^2.26 + 2*t^2.61 + t^2.79 + t^2.97 + t^3.56 + t^3.74 + t^3.92 + t^4.1 + t^4.16 + t^4.34 + 2*t^4.52 + 2*t^4.87 + t^4.94 + t^5.05 + 4*t^5.23 + t^5.4 + 2*t^5.58 + t^5.76 + t^5.93 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 48103 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7021 | 0.8818 | 0.7962 | [X:[], M:[0.9685, 0.9685, 1.1251, 0.8749, 0.6876, 0.6876], q:[0.594, 0.4375], qb:[0.4375, 0.7813], phi:[0.4375]] | 2*t^2.06 + 2*t^2.62 + 2*t^2.91 + 2*t^3.66 + t^3.94 + 4*t^4.13 + 2*t^4.41 + 4*t^4.69 + t^4.88 + 4*t^4.97 + 3*t^5.25 + 2*t^5.53 + 4*t^5.72 + 3*t^5.81 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 46880 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.699 | 0.8725 | 0.8011 | [X:[], M:[0.974, 0.9642, 1.1248, 0.8752, 0.697, 0.7763], q:[0.5933, 0.4327], qb:[0.4424, 0.7812], phi:[0.4376]] | t^2.09 + t^2.33 + 2*t^2.63 + t^2.89 + t^2.92 + t^3.64 + t^3.94 + t^3.97 + t^4.12 + t^4.18 + t^4.39 + 2*t^4.42 + t^4.66 + 2*t^4.72 + t^4.87 + 2*t^4.95 + t^4.98 + t^5.01 + t^5.22 + 4*t^5.25 + t^5.52 + t^5.55 + t^5.73 + t^5.79 + t^5.81 + t^5.84 - 3*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46342 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ | 0.6607 | 0.8017 | 0.8242 | [X:[], M:[0.9624, 0.9624, 1.1278, 0.8722], q:[0.6015, 0.4361], qb:[0.4361, 0.782], phi:[0.4361]] | 2*t^2.62 + 2*t^2.89 + 2*t^3.65 + 3*t^3.92 + t^4.15 + 2*t^4.42 + t^4.92 + 3*t^5.23 + 2*t^5.5 + 3*t^5.77 - 5*t^6. - t^4.31/y - t^4.31*y | detail |