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 |
|---|---|---|---|---|---|---|---|---|---|
| 55070 | 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$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7q_2\tilde{q}_2$ | 0.7166 | 0.9045 | 0.7922 | [X:[], M:[0.9659, 0.9725, 1.1248, 0.8752, 0.6806, 0.7845, 0.7779], q:[0.5932, 0.4409], qb:[0.4343, 0.7812], phi:[0.4376]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [0, -4], [2, 10], [-1, -1], [1, 3]], 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_7$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ q_1\tilde{q}_2$, $ M_5M_7$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4M_5$, $ M_7^2$, $ M_5\phi_1^2$, $ M_6M_7$, $ M_6^2$, $ \phi_1q_1^2$, $ M_1M_5$, $ M_2M_5$, $ M_4M_7$, $ M_7\phi_1^2$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_1M_7$, $ M_4^2$, $ M_1M_6$, $ M_2M_7$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_2M_6$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_5\phi_1\tilde{q}_1^2$ | . | -3 | t^2.04 + t^2.33 + t^2.35 + 2*t^2.63 + t^2.9 + t^2.92 + t^3.92 + t^3.94 + t^4.08 + t^4.12 + t^4.38 + 2*t^4.4 + t^4.42 + 3*t^4.67 + t^4.69 + t^4.71 + t^4.87 + t^4.94 + 3*t^4.96 + 2*t^4.98 + t^5.23 + 5*t^5.25 + t^5.27 + t^5.52 + t^5.54 + t^5.8 + t^5.82 + t^5.84 + t^5.96 - 3*t^6. - t^6.02 + t^6.13 + t^6.16 + t^6.25 + t^6.27 + t^6.42 + 2*t^6.44 + t^6.46 + 2*t^6.54 + t^6.56 + 3*t^6.71 + 2*t^6.73 + 3*t^6.75 + t^6.77 + t^6.82 + t^6.84 + t^6.91 + t^6.98 + 4*t^7. + 4*t^7.02 + 2*t^7.04 + t^7.06 + t^7.21 + t^7.23 + t^7.27 + 6*t^7.29 + 2*t^7.31 + t^7.33 + t^7.5 + 2*t^7.57 + 5*t^7.58 + 4*t^7.6 + t^7.62 - t^7.77 - t^7.79 + 2*t^7.84 + 3*t^7.86 + 7*t^7.88 + t^7.9 + t^8. - 3*t^8.04 - 2*t^8.06 - t^8.08 + t^8.13 + 3*t^8.15 + 4*t^8.17 + t^8.19 + t^8.21 + t^8.29 + t^8.31 - 4*t^8.33 - 5*t^8.35 - t^8.37 + t^8.42 + t^8.44 + 2*t^8.46 + 2*t^8.48 + t^8.5 + 3*t^8.59 - 6*t^8.63 - 2*t^8.65 + t^8.69 + t^8.71 + t^8.73 + 4*t^8.75 + 2*t^8.77 + 4*t^8.79 + t^8.86 + 2*t^8.88 - 2*t^8.9 - 4*t^8.92 - t^8.94 + t^8.96 + t^8.99 - t^4.31/y - t^6.35/y - t^6.65/y - t^6.67/y - t^6.94/y - t^7.21/y - t^7.23/y + t^7.38/y + (2*t^7.4)/y + t^7.42/y + (2*t^7.67)/y + (2*t^7.69)/y + t^7.94/y + (4*t^7.96)/y + (3*t^7.98)/y + t^8.23/y + (3*t^8.25)/y + (2*t^8.27)/y - t^8.4/y + (2*t^8.52)/y + (2*t^8.54)/y - t^8.69/y - t^8.71/y + t^8.82/y + t^8.96/y - t^8.98/y - t^4.31*y - t^6.35*y - t^6.65*y - t^6.67*y - t^6.94*y - t^7.21*y - t^7.23*y + t^7.38*y + 2*t^7.4*y + t^7.42*y + 2*t^7.67*y + 2*t^7.69*y + t^7.94*y + 4*t^7.96*y + 3*t^7.98*y + t^8.23*y + 3*t^8.25*y + 2*t^8.27*y - t^8.4*y + 2*t^8.52*y + 2*t^8.54*y - t^8.69*y - t^8.71*y + t^8.82*y + t^8.96*y - t^8.98*y | g1^2*g2^10*t^2.04 + g1*g2^3*t^2.33 + t^2.35/(g1*g2) + (2*t^2.63)/g2^4 + (g1*t^2.9)/g2^7 + t^2.92/(g1*g2^11) + (g1^2*t^3.92)/g2^2 + t^3.94/g2^6 + g1^4*g2^20*t^4.08 + g2^12*t^4.12 + g1^3*g2^13*t^4.38 + 2*g1*g2^9*t^4.4 + (g2^5*t^4.42)/g1 + 3*g1^2*g2^6*t^4.67 + g2^2*t^4.69 + t^4.71/(g1^2*g2^2) + g2^20*t^4.87 + g1^3*g2^3*t^4.94 + (3*g1*t^4.96)/g2 + (2*t^4.98)/(g1*g2^5) + (g1^2*t^5.23)/g2^4 + (5*t^5.25)/g2^8 + t^5.27/(g1^2*g2^12) + (g1*t^5.52)/g2^11 + t^5.54/(g1*g2^15) + (g1^2*t^5.8)/g2^14 + t^5.82/g2^18 + t^5.84/(g1^2*g2^22) + g1^4*g2^8*t^5.96 - 3*t^6. - t^6.02/(g1^2*g2^4) + g1^6*g2^30*t^6.13 + g1^2*g2^22*t^6.16 + g1^3*g2*t^6.25 + (g1*t^6.27)/g2^3 + g1^5*g2^23*t^6.42 + 2*g1^3*g2^19*t^6.44 + g1*g2^15*t^6.46 + (2*g1^2*t^6.54)/g2^6 + t^6.56/g2^10 + 3*g1^4*g2^16*t^6.71 + 2*g1^2*g2^12*t^6.73 + 3*g2^8*t^6.75 + (g2^4*t^6.77)/g1^2 + (g1^3*t^6.82)/g2^9 + (g1*t^6.84)/g2^13 + g1^2*g2^30*t^6.91 + g1^5*g2^13*t^6.98 + 4*g1^3*g2^9*t^7. + 4*g1*g2^5*t^7.02 + (2*g2*t^7.04)/g1 + t^7.06/(g1^3*g2^3) + g1*g2^23*t^7.21 + (g2^19*t^7.23)/g1 + g1^4*g2^6*t^7.27 + 6*g1^2*g2^2*t^7.29 + (2*t^7.31)/g2^2 + t^7.33/(g1^2*g2^6) + g2^16*t^7.5 + (2*g1^3*t^7.57)/g2 + (5*g1*t^7.58)/g2^5 + (4*t^7.6)/(g1*g2^9) + t^7.62/(g1^3*g2^13) - g1*g2^13*t^7.77 - (g2^9*t^7.79)/g1 + (2*g1^4*t^7.84)/g2^4 + (3*g1^2*t^7.86)/g2^8 + (7*t^7.88)/g2^12 + t^7.9/(g1^2*g2^16) + g1^6*g2^18*t^8. - 3*g1^2*g2^10*t^8.04 - 2*g2^6*t^8.06 - (g2^2*t^8.08)/g1^2 + (g1^3*t^8.13)/g2^11 + (3*g1*t^8.15)/g2^15 + (3*t^8.17)/(g1*g2^19) + g1^8*g2^40*t^8.17 + t^8.19/(g1^3*g2^23) + g1^4*g2^32*t^8.21 + g1^5*g2^11*t^8.29 + g1^3*g2^7*t^8.31 - 4*g1*g2^3*t^8.33 - (5*t^8.35)/(g1*g2) - t^8.37/(g1^3*g2^5) + (g1^2*t^8.42)/g2^18 + t^8.44/g2^22 + t^8.46/(g1^2*g2^26) + g1^7*g2^33*t^8.46 + 2*g1^5*g2^29*t^8.48 + g1^3*g2^25*t^8.5 + 3*g1^4*g2^4*t^8.59 - (6*t^8.63)/g2^4 - (2*t^8.65)/(g1^2*g2^8) + (g1^3*t^8.69)/g2^21 + (g1*t^8.71)/g2^25 + t^8.73/(g1*g2^29) + t^8.75/(g1^3*g2^33) + 3*g1^6*g2^26*t^8.75 + 2*g1^4*g2^22*t^8.77 + 4*g1^2*g2^18*t^8.79 + g1^5*g2*t^8.86 + (2*g1^3*t^8.88)/g2^3 - (2*g1*t^8.9)/g2^7 - (4*t^8.92)/(g1*g2^11) - t^8.94/(g1^3*g2^15) + g1^4*g2^40*t^8.96 + g2^32*t^8.99 - t^4.31/(g2^2*y) - (g1^2*g2^8*t^6.35)/y - (g1*g2*t^6.65)/y - t^6.67/(g1*g2^3*y) - t^6.94/(g2^6*y) - (g1*t^7.21)/(g2^9*y) - t^7.23/(g1*g2^13*y) + (g1^3*g2^13*t^7.38)/y + (2*g1*g2^9*t^7.4)/y + (g2^5*t^7.42)/(g1*y) + (2*g1^2*g2^6*t^7.67)/y + (2*g2^2*t^7.69)/y + (g1^3*g2^3*t^7.94)/y + (4*g1*t^7.96)/(g2*y) + (3*t^7.98)/(g1*g2^5*y) + (g1^2*t^8.23)/(g2^4*y) + (3*t^8.25)/(g2^8*y) + (2*t^8.27)/(g1^2*g2^12*y) - (g1^4*g2^18*t^8.4)/y + (2*g1*t^8.52)/(g2^11*y) + (2*t^8.54)/(g1*g2^15*y) - (g1^3*g2^11*t^8.69)/y - (g1*g2^7*t^8.71)/y + t^8.82/(g2^18*y) + (g1^4*g2^8*t^8.96)/y - (g1^2*g2^4*t^8.98)/y - (t^4.31*y)/g2^2 - g1^2*g2^8*t^6.35*y - g1*g2*t^6.65*y - (t^6.67*y)/(g1*g2^3) - (t^6.94*y)/g2^6 - (g1*t^7.21*y)/g2^9 - (t^7.23*y)/(g1*g2^13) + g1^3*g2^13*t^7.38*y + 2*g1*g2^9*t^7.4*y + (g2^5*t^7.42*y)/g1 + 2*g1^2*g2^6*t^7.67*y + 2*g2^2*t^7.69*y + g1^3*g2^3*t^7.94*y + (4*g1*t^7.96*y)/g2 + (3*t^7.98*y)/(g1*g2^5) + (g1^2*t^8.23*y)/g2^4 + (3*t^8.25*y)/g2^8 + (2*t^8.27*y)/(g1^2*g2^12) - g1^4*g2^18*t^8.4*y + (2*g1*t^8.52*y)/g2^11 + (2*t^8.54*y)/(g1*g2^15) - g1^3*g2^11*t^8.69*y - g1*g2^7*t^8.71*y + (t^8.82*y)/g2^18 + g1^4*g2^8*t^8.96*y - g1^2*g2^4*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 56704 | $M_1q_1q_2$ + $ 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$ + $ M_7q_2\tilde{q}_2$ + $ M_5M_7$ + $ M_6X_1$ | 0.6026 | 0.7461 | 0.8076 | [X:[1.3764], M:[1.0799, 0.7529, 1.1483, 0.8517, 1.0494, 0.6236, 0.9506], q:[0.6578, 0.2624], qb:[0.5894, 0.7871], phi:[0.4259]] | t^2.26 + 2*t^2.56 + t^2.85 + t^3.15 + t^3.24 + t^3.83 + t^4.04 + t^4.13 + t^4.33 + t^4.52 + 2*t^4.81 + 4*t^5.11 + t^5.22 + 3*t^5.41 + t^5.5 + 2*t^5.7 + t^5.79 - 2*t^6. - t^4.28/y - t^4.28*y | detail | |
| 56716 | $M_1q_1q_2$ + $ 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$ + $ M_7q_2\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7372 | 0.9444 | 0.7806 | [X:[], M:[0.9725, 0.9725, 1.1233, 0.8767, 0.685, 0.7808, 0.7808, 0.685], q:[0.5891, 0.4383], qb:[0.4383, 0.7808], phi:[0.4383]] | 2*t^2.05 + 2*t^2.34 + 2*t^2.63 + 2*t^2.92 + t^3.95 + 4*t^4.11 + 6*t^4.4 + 7*t^4.68 + t^4.85 + 8*t^4.97 + 7*t^5.26 + 2*t^5.55 + 3*t^5.84 - 3*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46880 | 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$ + $ 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 |