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 |
|---|---|---|---|---|---|---|---|---|---|
| 2207 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_2M_8$ | 0.7372 | 0.9444 | 0.7806 | [X:[], M:[0.9725, 1.1233, 0.9725, 0.7808, 0.7808, 0.685, 0.685, 0.8767], q:[0.7808, 0.4383], qb:[0.5891, 0.4383], phi:[0.4383]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [-1, -1], [3, 1], [10, 2], [2, -2], [-4, 0]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_4$, $ M_5$, $ M_8$, $ \phi_1^2$, $ M_3$, $ M_1$, $ \phi_1q_2\tilde{q}_2$, $ M_6M_7$, $ q_1\tilde{q}_1$, $ M_7^2$, $ M_6^2$, $ M_4M_7$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_4M_5$, $ M_4^2$, $ M_7M_8$, $ M_7\phi_1^2$, $ M_5^2$, $ M_6M_8$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_7$, $ M_1M_7$, $ M_4M_8$, $ M_4\phi_1^2$, $ M_3M_6$, $ M_5M_8$, $ M_5\phi_1^2$, $ M_1M_6$, $ M_1M_4$, $ M_3M_5$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_8$, $ M_3\phi_1^2$, $ M_1M_8$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1^2$ | $M_6\phi_1q_2\tilde{q}_2$, $ M_7\phi_1q_2\tilde{q}_2$ | -3 | 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. + 6*t^6.16 + 10*t^6.45 + t^6.58 + 16*t^6.74 + 2*t^6.9 + 20*t^7.03 + 2*t^7.19 + 17*t^7.32 + t^7.48 + 14*t^7.6 - 2*t^7.77 + 14*t^7.89 - 10*t^8.05 + 8*t^8.18 + 8*t^8.22 - 12*t^8.34 + 3*t^8.47 + 14*t^8.51 - 9*t^8.63 + 4*t^8.75 + 24*t^8.79 - 10*t^8.92 + 4*t^8.96 - t^4.32/y - (2*t^6.37)/y - (2*t^6.66)/y - t^6.95/y + t^7.11/y - (2*t^7.23)/y + (6*t^7.4)/y + (6*t^7.68)/y + (10*t^7.97)/y + (7*t^8.26)/y - (3*t^8.42)/y + (4*t^8.55)/y - (4*t^8.71)/y + t^8.84/y - t^4.32*y - 2*t^6.37*y - 2*t^6.66*y - t^6.95*y + t^7.11*y - 2*t^7.23*y + 6*t^7.4*y + 6*t^7.68*y + 10*t^7.97*y + 7*t^8.26*y - 3*t^8.42*y + 4*t^8.55*y - 4*t^8.71*y + t^8.84*y | (g1^2*t^2.05)/g2^2 + g1^10*g2^2*t^2.05 + t^2.34/(g1*g2) + g1^3*g2*t^2.34 + (2*t^2.63)/g1^4 + t^2.92/(g1^11*g2) + (g2*t^2.92)/g1^7 + t^3.95/g1^6 + 2*g1^12*t^4.11 + (g1^4*t^4.11)/g2^4 + g1^20*g2^4*t^4.11 + (g1*t^4.4)/g2^3 + (2*g1^5*t^4.4)/g2 + 2*g1^9*g2*t^4.4 + g1^13*g2^3*t^4.4 + g1^2*t^4.68 + (3*t^4.68)/(g1^2*g2^2) + 3*g1^6*g2^2*t^4.68 + g1^20*t^4.85 + t^4.97/(g1^9*g2^3) + (3*t^4.97)/(g1^5*g2) + (3*g2*t^4.97)/g1 + g1^3*g2^3*t^4.97 + (5*t^5.26)/g1^8 + t^5.26/(g1^12*g2^2) + (g2^2*t^5.26)/g1^4 + t^5.55/(g1^15*g2) + (g2*t^5.55)/g1^11 + t^5.84/g1^18 + t^5.84/(g1^22*g2^2) + (g2^2*t^5.84)/g1^14 - 3*t^6. + (g1^6*t^6.16)/g2^6 + (2*g1^14*t^6.16)/g2^2 + 2*g1^22*g2^2*t^6.16 + g1^30*g2^6*t^6.16 + (g1^3*t^6.45)/g2^5 + (2*g1^7*t^6.45)/g2^3 + (2*g1^11*t^6.45)/g2 + 2*g1^15*g2*t^6.45 + 2*g1^19*g2^3*t^6.45 + g1^23*g2^5*t^6.45 + t^6.58/g1^10 + 6*g1^8*t^6.74 + (3*t^6.74)/g2^4 + (2*g1^4*t^6.74)/g2^2 + 2*g1^12*g2^2*t^6.74 + 3*g1^16*g2^4*t^6.74 + (g1^22*t^6.9)/g2^2 + g1^30*g2^2*t^6.9 + t^7.03/(g1^7*g2^5) + (4*t^7.03)/(g1^3*g2^3) + (5*g1*t^7.03)/g2 + 5*g1^5*g2*t^7.03 + 4*g1^9*g2^3*t^7.03 + g1^13*g2^5*t^7.03 + (g1^19*t^7.19)/g2 + g1^23*g2*t^7.19 + (3*t^7.32)/g1^2 + t^7.32/(g1^10*g2^4) + (6*t^7.32)/(g1^6*g2^2) + 6*g1^2*g2^2*t^7.32 + g1^6*g2^4*t^7.32 + g1^16*t^7.48 + (2*t^7.6)/(g1^13*g2^3) + (5*t^7.6)/(g1^9*g2) + (5*g2*t^7.6)/g1^5 + (2*g2^3*t^7.6)/g1 - (g1^9*t^7.77)/g2 - g1^13*g2*t^7.77 + (8*t^7.89)/g1^12 + t^7.89/(g1^20*g2^4) + (2*t^7.89)/(g1^16*g2^2) + (2*g2^2*t^7.89)/g1^8 + (g2^4*t^7.89)/g1^4 - 2*g1^6*t^8.05 - (4*g1^2*t^8.05)/g2^2 - 4*g1^10*g2^2*t^8.05 + t^8.18/(g1^23*g2^3) + (3*t^8.18)/(g1^19*g2) + (3*g2*t^8.18)/g1^15 + (g2^3*t^8.18)/g1^11 + 2*g1^24*t^8.22 + (g1^8*t^8.22)/g2^8 + (2*g1^16*t^8.22)/g2^4 + 2*g1^32*g2^4*t^8.22 + g1^40*g2^8*t^8.22 - t^8.34/(g1^5*g2^3) - (5*t^8.34)/(g1*g2) - 5*g1^3*g2*t^8.34 - g1^7*g2^3*t^8.34 + t^8.47/g1^22 + t^8.47/(g1^26*g2^2) + (g2^2*t^8.47)/g1^18 + (g1^5*t^8.51)/g2^7 + (2*g1^9*t^8.51)/g2^5 + (2*g1^13*t^8.51)/g2^3 + (2*g1^17*t^8.51)/g2 + 2*g1^21*g2*t^8.51 + 2*g1^25*g2^3*t^8.51 + 2*g1^29*g2^5*t^8.51 + g1^33*g2^7*t^8.51 - (7*t^8.63)/g1^4 - t^8.63/(g1^8*g2^2) - g2^2*t^8.63 + t^8.75/(g1^33*g2^3) + t^8.75/(g1^29*g2) + (g2*t^8.75)/g1^25 + (g2^3*t^8.75)/g1^21 + 2*g1^14*t^8.79 + (3*g1^2*t^8.79)/g2^6 + (2*g1^6*t^8.79)/g2^4 + (6*g1^10*t^8.79)/g2^2 + 6*g1^18*g2^2*t^8.79 + 2*g1^22*g2^4*t^8.79 + 3*g1^26*g2^6*t^8.79 - t^8.92/(g1^15*g2^3) - (4*t^8.92)/(g1^11*g2) - (4*g2*t^8.92)/g1^7 - (g2^3*t^8.92)/g1^3 + 2*g1^32*t^8.96 + (g1^24*t^8.96)/g2^4 + g1^40*g2^4*t^8.96 - t^4.32/(g1^2*y) - t^6.37/(g2^2*y) - (g1^8*g2^2*t^6.37)/y - t^6.66/(g1^3*g2*y) - (g1*g2*t^6.66)/y - t^6.95/(g1^6*y) + (g1^12*t^7.11)/y - t^7.23/(g1^13*g2*y) - (g2*t^7.23)/(g1^9*y) + (g1*t^7.4)/(g2^3*y) + (2*g1^5*t^7.4)/(g2*y) + (2*g1^9*g2*t^7.4)/y + (g1^13*g2^3*t^7.4)/y + (2*g1^2*t^7.68)/y + (2*t^7.68)/(g1^2*g2^2*y) + (2*g1^6*g2^2*t^7.68)/y + t^7.97/(g1^9*g2^3*y) + (4*t^7.97)/(g1^5*g2*y) + (4*g2*t^7.97)/(g1*y) + (g1^3*g2^3*t^7.97)/y + (3*t^8.26)/(g1^8*y) + (2*t^8.26)/(g1^12*g2^2*y) + (2*g2^2*t^8.26)/(g1^4*y) - (g1^10*t^8.42)/y - (g1^2*t^8.42)/(g2^4*y) - (g1^18*g2^4*t^8.42)/y + (2*t^8.55)/(g1^15*g2*y) + (2*g2*t^8.55)/(g1^11*y) - t^8.71/(g1*g2^3*y) - (g1^3*t^8.71)/(g2*y) - (g1^7*g2*t^8.71)/y - (g1^11*g2^3*t^8.71)/y + t^8.84/(g1^18*y) - (t^4.32*y)/g1^2 - (t^6.37*y)/g2^2 - g1^8*g2^2*t^6.37*y - (t^6.66*y)/(g1^3*g2) - g1*g2*t^6.66*y - (t^6.95*y)/g1^6 + g1^12*t^7.11*y - (t^7.23*y)/(g1^13*g2) - (g2*t^7.23*y)/g1^9 + (g1*t^7.4*y)/g2^3 + (2*g1^5*t^7.4*y)/g2 + 2*g1^9*g2*t^7.4*y + g1^13*g2^3*t^7.4*y + 2*g1^2*t^7.68*y + (2*t^7.68*y)/(g1^2*g2^2) + 2*g1^6*g2^2*t^7.68*y + (t^7.97*y)/(g1^9*g2^3) + (4*t^7.97*y)/(g1^5*g2) + (4*g2*t^7.97*y)/g1 + g1^3*g2^3*t^7.97*y + (3*t^8.26*y)/g1^8 + (2*t^8.26*y)/(g1^12*g2^2) + (2*g2^2*t^8.26*y)/g1^4 - g1^10*t^8.42*y - (g1^2*t^8.42*y)/g2^4 - g1^18*g2^4*t^8.42*y + (2*t^8.55*y)/(g1^15*g2) + (2*g2*t^8.55*y)/g1^11 - (t^8.71*y)/(g1*g2^3) - (g1^3*t^8.71*y)/g2 - g1^7*g2*t^8.71*y - g1^11*g2^3*t^8.71*y + (t^8.84*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4207 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ + $ M_2M_8$ + $ M_5M_6$ + $ M_7X_1$ + $ M_4X_2$ | 0.6026 | 0.7461 | 0.8076 | [X:[1.6046, 1.3764], M:[1.0799, 1.1483, 0.7529, 0.6236, 0.9506, 1.0494, 0.3954, 0.8517], q:[0.7871, 0.2624], qb:[0.6578, 0.5894], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1154 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.7264 | 0.9268 | 0.7838 | [X:[], M:[0.9847, 1.1179, 0.9847, 0.7795, 0.7795, 0.6769, 0.6769], q:[0.7795, 0.441], qb:[0.5743, 0.441], phi:[0.441]] | 2*t^2.03 + 2*t^2.34 + t^2.65 + 2*t^2.95 + t^3.35 + t^3.97 + 4*t^4.06 + 6*t^4.37 + 5*t^4.68 + t^4.77 + 6*t^4.98 + 5*t^5.29 + 2*t^5.38 + 2*t^5.69 + 3*t^5.91 - 2*t^6. - t^4.32/y - t^4.32*y | detail |