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 |
|---|---|---|---|---|---|---|---|---|---|
| 1801 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.6449 | 0.848 | 0.7605 | [X:[], M:[0.9839, 1.0482, 0.7351, 0.7569, 0.7672], q:[0.746, 0.2701], qb:[0.4868, 0.465], phi:[0.508]] | [X:[], M:[[4, 4], [-12, -12], [-5, 7], [7, -5], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_2$, $ M_4$, $ q_2\tilde{q}_1$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_5q_2\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_5^2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_5$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_4q_1\tilde{q}_2$ | . | -3 | 2*t^2.21 + 2*t^2.27 + t^2.3 + t^2.95 + t^3.05 + 2*t^3.14 + t^3.63 + t^4.31 + t^4.38 + 3*t^4.41 + t^4.45 + 4*t^4.48 + 2*t^4.51 + 3*t^4.54 + 2*t^4.57 + t^4.6 + 2*t^5.16 + 2*t^5.22 + 3*t^5.25 + 2*t^5.32 + 4*t^5.35 + 3*t^5.42 + 2*t^5.45 + 2*t^5.84 + 2*t^5.9 - 3*t^6. - t^6.07 + t^6.1 + 2*t^6.19 + 3*t^6.29 + 2*t^6.52 + 3*t^6.58 + 5*t^6.62 + 2*t^6.65 + 6*t^6.68 + 3*t^6.71 + 2*t^6.72 + 5*t^6.75 + 4*t^6.78 + 6*t^6.81 + t^6.84 + t^6.87 + t^6.9 - t^6.94 + t^7.27 + 3*t^7.36 + 2*t^7.43 + 5*t^7.46 + 3*t^7.49 + 4*t^7.52 + 7*t^7.55 + 3*t^7.59 + 6*t^7.62 + 4*t^7.65 + 4*t^7.69 + 3*t^7.72 + 2*t^7.75 + t^7.95 + 3*t^8.04 + t^8.11 - 6*t^8.21 - 8*t^8.27 - 2*t^8.3 - 2*t^8.34 + 4*t^8.4 + 3*t^8.46 + 6*t^8.49 + 4*t^8.56 + 3*t^8.59 + t^8.63 + t^8.69 + 3*t^8.72 + t^8.76 + 5*t^8.79 + 8*t^8.82 + 4*t^8.86 + 9*t^8.89 + 8*t^8.92 + 2*t^8.95 + 5*t^8.98 + 3*t^8.99 - t^4.52/y - t^6.73/y - t^6.79/y - t^6.83/y + t^7.38/y + t^7.41/y + (4*t^7.48)/y + (2*t^7.51)/y + t^7.54/y + (2*t^7.57)/y - t^7.67/y + (2*t^8.16)/y + (3*t^8.22)/y + (4*t^8.25)/y + (3*t^8.32)/y + (5*t^8.35)/y + (4*t^8.42)/y + (2*t^8.45)/y + (2*t^8.84)/y + (2*t^8.9)/y - t^4.52*y - t^6.73*y - t^6.79*y - t^6.83*y + t^7.38*y + t^7.41*y + 4*t^7.48*y + 2*t^7.51*y + t^7.54*y + 2*t^7.57*y - t^7.67*y + 2*t^8.16*y + 3*t^8.22*y + 4*t^8.25*y + 3*t^8.32*y + 5*t^8.35*y + 4*t^8.42*y + 2*t^8.45*y + 2*t^8.84*y + 2*t^8.9*y | (2*g2^7*t^2.21)/g1^5 + (2*g1^7*t^2.27)/g2^5 + t^2.3/(g1^13*g2) + g1^4*g2^4*t^2.95 + t^3.05/(g1^4*g2^4) + (2*t^3.14)/(g1^12*g2^12) + g1*g2^13*t^3.63 + (g2^22*t^4.31)/g1^2 + g1^10*g2^10*t^4.38 + (3*g2^14*t^4.41)/g1^10 + (g1^22*t^4.45)/g2^2 + 4*g1^2*g2^2*t^4.48 + (2*g2^6*t^4.51)/g1^18 + (3*g1^14*t^4.54)/g2^10 + (2*t^4.57)/(g1^6*g2^6) + t^4.6/(g1^26*g2^2) + (2*g2^11*t^5.16)/g1 + (2*g1^11*t^5.22)/g2 + (3*g2^3*t^5.25)/g1^9 + (2*g1^3*t^5.32)/g2^9 + (4*t^5.35)/(g1^17*g2^5) + (3*t^5.42)/(g1^5*g2^17) + (2*t^5.45)/(g1^25*g2^13) + (2*g2^20*t^5.84)/g1^4 + 2*g1^8*g2^8*t^5.9 - 3*t^6. - (g1^12*t^6.07)/g2^12 + t^6.1/(g1^8*g2^8) + (2*t^6.19)/(g1^16*g2^16) + (3*t^6.29)/(g1^24*g2^24) + (2*g2^29*t^6.52)/g1^7 + 3*g1^5*g2^17*t^6.58 + (5*g2^21*t^6.62)/g1^15 + 2*g1^17*g2^5*t^6.65 + (6*g2^9*t^6.68)/g1^3 + (3*g2^13*t^6.71)/g1^23 + (2*g1^29*t^6.72)/g2^7 + (5*g1^9*t^6.75)/g2^3 + (4*g2*t^6.78)/g1^11 + (4*g1^21*t^6.81)/g2^15 + (2*g2^5*t^6.81)/g1^31 + (g1*t^6.84)/g2^11 + t^6.87/(g1^19*g2^7) + t^6.9/(g1^39*g2^3) - t^6.94/(g1^7*g2^19) + g1^2*g2^26*t^7.27 + (3*g2^18*t^7.36)/g1^6 + 2*g1^6*g2^6*t^7.43 + (5*g2^10*t^7.46)/g1^14 + (3*g1^18*t^7.49)/g2^6 + (4*t^7.52)/(g1^2*g2^2) + (7*g2^2*t^7.55)/g1^22 + (3*g1^10*t^7.59)/g2^14 + (6*t^7.62)/(g1^10*g2^10) + (4*t^7.65)/(g1^30*g2^6) + (4*g1^2*t^7.69)/g2^22 + (3*t^7.72)/(g1^18*g2^18) + (2*t^7.75)/(g1^38*g2^14) + (g2^35*t^7.95)/g1 + (3*g2^27*t^8.04)/g1^9 + g1^3*g2^15*t^8.11 - (6*g2^7*t^8.21)/g1^5 - (8*g1^7*t^8.27)/g2^5 - (2*t^8.3)/(g1^13*g2) - (2*g1^19*t^8.34)/g2^17 + (4*t^8.4)/(g1^21*g2^9) + (3*t^8.46)/(g1^9*g2^21) + (6*t^8.49)/(g1^29*g2^17) + (4*t^8.56)/(g1^17*g2^29) + (3*t^8.59)/(g1^37*g2^25) + (g2^44*t^8.63)/g1^4 + g1^8*g2^32*t^8.69 + (3*g2^36*t^8.72)/g1^12 + g1^20*g2^20*t^8.76 + 5*g2^24*t^8.79 + g1^32*g2^8*t^8.82 + (7*g2^28*t^8.82)/g1^20 + 4*g1^12*g2^12*t^8.86 + (g1^44*t^8.89)/g2^4 + (8*g2^16*t^8.89)/g1^8 + 3*g1^24*t^8.92 + (5*g2^20*t^8.92)/g1^28 + 2*g1^4*g2^4*t^8.95 + (5*g2^8*t^8.98)/g1^16 + (3*g1^36*t^8.99)/g2^12 - t^4.52/(g1^2*g2^2*y) - (g2^5*t^6.73)/(g1^7*y) - (g1^5*t^6.79)/(g2^7*y) - t^6.83/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.38)/y + (g2^14*t^7.41)/(g1^10*y) + (4*g1^2*g2^2*t^7.48)/y + (2*g2^6*t^7.51)/(g1^18*y) + (g1^14*t^7.54)/(g2^10*y) + (2*t^7.57)/(g1^6*g2^6*y) - t^7.67/(g1^14*g2^14*y) + (2*g2^11*t^8.16)/(g1*y) + (3*g1^11*t^8.22)/(g2*y) + (4*g2^3*t^8.25)/(g1^9*y) + (3*g1^3*t^8.32)/(g2^9*y) + (5*t^8.35)/(g1^17*g2^5*y) + (4*t^8.42)/(g1^5*g2^17*y) + (2*t^8.45)/(g1^25*g2^13*y) + (2*g2^20*t^8.84)/(g1^4*y) + (2*g1^8*g2^8*t^8.9)/y - (t^4.52*y)/(g1^2*g2^2) - (g2^5*t^6.73*y)/g1^7 - (g1^5*t^6.79*y)/g2^7 - (t^6.83*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.38*y + (g2^14*t^7.41*y)/g1^10 + 4*g1^2*g2^2*t^7.48*y + (2*g2^6*t^7.51*y)/g1^18 + (g1^14*t^7.54*y)/g2^10 + (2*t^7.57*y)/(g1^6*g2^6) - (t^7.67*y)/(g1^14*g2^14) + (2*g2^11*t^8.16*y)/g1 + (3*g1^11*t^8.22*y)/g2 + (4*g2^3*t^8.25*y)/g1^9 + (3*g1^3*t^8.32*y)/g2^9 + (5*t^8.35*y)/(g1^17*g2^5) + (4*t^8.42*y)/(g1^5*g2^17) + (2*t^8.45*y)/(g1^25*g2^13) + (2*g2^20*t^8.84*y)/g1^4 + 2*g1^8*g2^8*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 2816 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6627 | 0.88 | 0.7531 | [X:[], M:[0.9908, 1.0276, 0.7477, 0.7477, 0.7661, 0.7661], q:[0.7477, 0.2615], qb:[0.4862, 0.4862], phi:[0.5046]] | 4*t^2.24 + 2*t^2.3 + t^2.97 + t^3.03 + 2*t^3.08 + 3*t^4.43 + 10*t^4.49 + 8*t^4.54 + 3*t^4.6 + 4*t^5.22 + 6*t^5.27 + 8*t^5.33 + 4*t^5.38 - 5*t^6. - t^4.51/y - t^4.51*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 |
|---|---|---|---|---|---|---|---|---|---|
| 357 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6272 | 0.8162 | 0.7685 | [X:[], M:[0.9767, 1.0698, 0.7442, 0.7442], q:[0.7442, 0.2791], qb:[0.4651, 0.4651], phi:[0.5116]] | 4*t^2.23 + t^2.93 + t^3.07 + 2*t^3.21 + 2*t^3.63 + 3*t^4.33 + 10*t^4.47 + 4*t^5.16 + 4*t^5.3 + 6*t^5.44 + 8*t^5.86 - 5*t^6. - t^4.53/y - t^4.53*y | detail |