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 |
|---|---|---|---|---|---|---|---|---|---|
| 1734 | 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_1^2$ + $ M_4q_1\tilde{q}_1$ | 0.6083 | 0.7807 | 0.7792 | [X:[], M:[0.9781, 1.0657, 0.9781, 0.7742], q:[0.7445, 0.2774], qb:[0.4812, 0.453], phi:[0.511]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [-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 |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -2 | t^2.19 + t^2.28 + t^2.32 + 2*t^2.93 + 2*t^3.2 + t^3.59 + t^3.72 + t^3.81 + t^4.25 + t^4.34 + t^4.38 + t^4.42 + t^4.47 + t^4.51 + t^4.55 + t^4.6 + t^4.65 + 2*t^5.13 + 2*t^5.21 + 2*t^5.26 + t^5.39 + t^5.47 + 2*t^5.52 + t^5.78 + 3*t^5.87 + t^5.92 - 2*t^6. + t^6.05 + 3*t^6.13 + 3*t^6.39 + t^6.44 + 2*t^6.53 + 2*t^6.57 + 2*t^6.66 + t^6.7 + t^6.71 + 2*t^6.74 + t^6.79 + t^6.83 + t^6.84 - t^6.87 + 2*t^6.92 + t^6.97 + t^7.01 + 2*t^7.19 + t^7.27 + 2*t^7.32 + t^7.35 + 3*t^7.45 + t^7.49 + t^7.53 + 3*t^7.58 + t^7.62 + t^7.71 + t^7.75 + t^7.8 + 3*t^7.84 + 2*t^7.98 + 2*t^8.06 + t^8.11 + 2*t^8.14 + t^8.23 + t^8.24 - 3*t^8.28 - 2*t^8.32 + t^8.37 + 3*t^8.45 + t^8.5 + 2*t^8.59 + t^8.63 + 2*t^8.67 + 5*t^8.72 + 3*t^8.76 + 3*t^8.8 + t^8.84 + t^8.85 + 2*t^8.9 - 6*t^8.93 + t^8.97 + 2*t^8.98 - t^4.53/y - t^6.86/y + t^7.34/y + t^7.51/y + (2*t^7.6)/y - t^7.73/y + (2*t^8.13)/y + (3*t^8.21)/y + (2*t^8.26)/y + (2*t^8.39)/y + (2*t^8.47)/y + (2*t^8.52)/y + t^8.78/y + (2*t^8.87)/y + (2*t^8.92)/y - t^4.53*y - t^6.86*y + t^7.34*y + t^7.51*y + 2*t^7.6*y - t^7.73*y + 2*t^8.13*y + 3*t^8.21*y + 2*t^8.26*y + 2*t^8.39*y + 2*t^8.47*y + 2*t^8.52*y + t^8.78*y + 2*t^8.87*y + 2*t^8.92*y | (g2^7*t^2.19)/g1^5 + (g1^7*t^2.28)/g2^5 + t^2.32/(g1^13*g2) + 2*g1^4*g2^4*t^2.93 + (2*t^3.2)/(g1^12*g2^12) + g1*g2^13*t^3.59 + (g2^5*t^3.72)/g1^7 + (g1^5*t^3.81)/g2^7 + (g2^22*t^4.25)/g1^2 + g1^10*g2^10*t^4.34 + (g2^14*t^4.38)/g1^10 + (g1^22*t^4.42)/g2^2 + g1^2*g2^2*t^4.47 + (g2^6*t^4.51)/g1^18 + (g1^14*t^4.55)/g2^10 + t^4.6/(g1^6*g2^6) + t^4.65/(g1^26*g2^2) + (2*g2^11*t^5.13)/g1 + (2*g1^11*t^5.21)/g2 + (2*g2^3*t^5.26)/g1^9 + t^5.39/(g1^17*g2^5) + t^5.47/(g1^5*g2^17) + (2*t^5.52)/(g1^25*g2^13) + (g2^20*t^5.78)/g1^4 + 3*g1^8*g2^8*t^5.87 + (g2^12*t^5.92)/g1^12 - 2*t^6. + (g2^4*t^6.05)/g1^20 + (3*t^6.13)/(g1^8*g2^8) + (3*t^6.39)/(g1^24*g2^24) + (g2^29*t^6.44)/g1^7 + 2*g1^5*g2^17*t^6.53 + (2*g2^21*t^6.57)/g1^15 + (2*g2^9*t^6.66)/g1^3 + (g1^29*t^6.7)/g2^7 + (g2^13*t^6.71)/g1^23 + (2*g1^9*t^6.74)/g2^3 + (g2*t^6.79)/g1^11 + (g1^21*t^6.83)/g2^15 + (g2^5*t^6.84)/g1^31 - (g1*t^6.87)/g2^11 + (2*t^6.92)/(g1^19*g2^7) + t^6.97/(g1^39*g2^3) + t^7.01/(g1^7*g2^19) + 2*g1^2*g2^26*t^7.19 + g1^14*g2^14*t^7.27 + (2*g2^18*t^7.32)/g1^6 + g1^26*g2^2*t^7.35 + (3*g2^10*t^7.45)/g1^14 + (g1^18*t^7.49)/g2^6 + t^7.53/(g1^2*g2^2) + (3*g2^2*t^7.58)/g1^22 + (g1^10*t^7.62)/g2^14 + t^7.71/(g1^30*g2^6) + (g1^2*t^7.75)/g2^22 + t^7.8/(g1^18*g2^18) + (2*t^7.84)/(g1^38*g2^14) + (g2^35*t^7.84)/g1 + (2*g2^27*t^7.98)/g1^9 + 2*g1^3*g2^15*t^8.06 + (g2^19*t^8.11)/g1^17 + 2*g1^15*g2^3*t^8.14 + (g1^27*t^8.23)/g2^9 + (g2^11*t^8.24)/g1^25 - (3*g1^7*t^8.28)/g2^5 - (2*t^8.32)/(g1^13*g2) + (g2^3*t^8.37)/g1^33 + (3*t^8.45)/(g1^21*g2^9) + (g2^44*t^8.5)/g1^4 + t^8.59/(g1^29*g2^17) + g1^8*g2^32*t^8.59 + (g2^36*t^8.63)/g1^12 + t^8.67/(g1^17*g2^29) + g1^20*g2^20*t^8.67 + (3*t^8.72)/(g1^37*g2^25) + 2*g2^24*t^8.72 + g1^32*g2^8*t^8.76 + (2*g2^28*t^8.76)/g1^20 + 3*g1^12*g2^12*t^8.8 + (g1^44*t^8.84)/g2^4 + (g2^16*t^8.85)/g1^8 + (2*g2^20*t^8.9)/g1^28 - 6*g1^4*g2^4*t^8.93 + (g1^36*t^8.97)/g2^12 + (2*g2^8*t^8.98)/g1^16 - t^4.53/(g1^2*g2^2*y) - t^6.86/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.34)/y + (g2^6*t^7.51)/(g1^18*y) + (2*t^7.6)/(g1^6*g2^6*y) - t^7.73/(g1^14*g2^14*y) + (2*g2^11*t^8.13)/(g1*y) + (3*g1^11*t^8.21)/(g2*y) + (2*g2^3*t^8.26)/(g1^9*y) + (2*t^8.39)/(g1^17*g2^5*y) + (2*t^8.47)/(g1^5*g2^17*y) + (2*t^8.52)/(g1^25*g2^13*y) + (g2^20*t^8.78)/(g1^4*y) + (2*g1^8*g2^8*t^8.87)/y + (2*g2^12*t^8.92)/(g1^12*y) - (t^4.53*y)/(g1^2*g2^2) - (t^6.86*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.34*y + (g2^6*t^7.51*y)/g1^18 + (2*t^7.6*y)/(g1^6*g2^6) - (t^7.73*y)/(g1^14*g2^14) + (2*g2^11*t^8.13*y)/g1 + (3*g1^11*t^8.21*y)/g2 + (2*g2^3*t^8.26*y)/g1^9 + (2*t^8.39*y)/(g1^17*g2^5) + (2*t^8.47*y)/(g1^5*g2^17) + (2*t^8.52*y)/(g1^25*g2^13) + (g2^20*t^8.78*y)/g1^4 + 2*g1^8*g2^8*t^8.87*y + (2*g2^12*t^8.92*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2731 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_2M_4$ | 0.6018 | 0.7728 | 0.7788 | [X:[], M:[0.9477, 1.1568, 0.9477, 0.8432], q:[0.7369, 0.3153], qb:[0.4199, 0.4234], phi:[0.5261]] | t^2.21 + t^2.22 + t^2.53 + 2*t^2.84 + 2*t^3.47 + t^3.48 + t^3.78 + t^3.79 + t^4.1 + t^4.11 + t^4.12 + t^4.41 + t^4.42 + t^4.43 + t^4.74 + t^4.75 + 2*t^5.05 + 3*t^5.06 + 2*t^5.37 + t^5.68 + 4*t^5.69 + t^5.7 - t^4.58/y - t^4.58*y | detail | |
| 2733 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6255 | 0.8112 | 0.7711 | [X:[], M:[0.9857, 1.043, 0.9857, 0.7751, 0.7751], q:[0.7464, 0.2679], qb:[0.4785, 0.4785], phi:[0.5072]] | 2*t^2.24 + 2*t^2.33 + 2*t^2.96 + 2*t^3.13 + 2*t^3.76 + 3*t^4.39 + 3*t^4.48 + 4*t^4.56 + 3*t^4.65 + 4*t^5.2 + 4*t^5.28 + 2*t^5.37 + 4*t^5.45 + 2*t^5.91 - 2*t^6. - t^4.52/y - t^4.52*y | detail | |
| 2732 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.6065 | 0.7774 | 0.7802 | [X:[], M:[0.9872, 1.0385, 0.9872, 0.7853], q:[0.7468, 0.266], qb:[0.4679, 0.4936], phi:[0.5064]] | t^2.2 + t^2.28 + t^2.36 + 2*t^2.96 + 2*t^3.12 + 2*t^3.72 + t^3.8 + t^4.33 + 2*t^4.4 + 2*t^4.48 + 2*t^4.56 + t^4.63 + t^4.71 + 2*t^5.16 + 2*t^5.24 + 3*t^5.32 + t^5.39 + 2*t^5.47 + 3*t^5.92 - t^6. - t^4.52/y - t^4.52*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 |
|---|---|---|---|---|---|---|---|---|---|
| 216 | 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_1^2$ | 0.5911 | 0.7501 | 0.788 | [X:[], M:[0.9703, 1.0891, 0.9703], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]] | 2*t^2.23 + 2*t^2.91 + 2*t^3.27 + 2*t^3.59 + 2*t^3.77 + 3*t^4.28 + 3*t^4.46 + 4*t^5.14 + 2*t^5.49 + 6*t^5.82 - 2*t^6. - t^4.54/y - t^4.54*y | detail |