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 |
|---|---|---|---|---|---|---|---|---|---|
| 545 | 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_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6216 | 0.8089 | 0.7684 | [X:[], M:[0.9496, 1.1511, 0.9496, 0.8489, 0.7292], q:[0.7374, 0.313], qb:[0.4326, 0.4162], phi:[0.5252]] | [X:[], M:[[4, 4], [-12, -12], [4, 4], [12, 12], [-5, 7]], 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 |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ \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_4^2$, $ M_1M_4$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_5\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -2 | 2*t^2.19 + t^2.24 + t^2.55 + 2*t^2.85 + t^3.45 + t^3.46 + t^3.51 + t^3.76 + t^4.07 + t^4.12 + t^4.17 + 3*t^4.38 + 2*t^4.42 + t^4.47 + 2*t^4.73 + t^4.78 + 4*t^5.04 + 3*t^5.09 + 2*t^5.4 + t^5.64 + 2*t^5.65 + 5*t^5.7 + t^5.75 + t^5.95 - 2*t^6. + t^6.01 - t^6.05 + t^6.06 + 2*t^6.26 + 4*t^6.31 + 3*t^6.36 + t^6.41 + 4*t^6.56 + 3*t^6.61 + t^6.62 + t^6.67 + t^6.71 + t^6.72 + 5*t^6.92 - t^6.96 + 4*t^6.97 + 3*t^7.02 + 6*t^7.22 + t^7.27 + 2*t^7.28 + t^7.32 + t^7.33 + t^7.53 + 2*t^7.58 - t^7.62 + 3*t^7.63 + t^7.64 + t^7.68 + t^7.83 + 4*t^7.84 - t^7.88 + 7*t^7.89 + 3*t^7.93 + 2*t^7.94 + t^7.98 + t^8.14 + t^8.15 - 6*t^8.19 + 3*t^8.2 + t^8.24 + t^8.29 + t^8.34 + 3*t^8.45 - 2*t^8.49 + 6*t^8.5 - 2*t^8.54 + 7*t^8.55 + 3*t^8.6 + t^8.65 + 5*t^8.75 + 2*t^8.8 + 2*t^8.81 - 8*t^8.85 + 4*t^8.86 - 2*t^8.9 + 3*t^8.91 + 2*t^8.95 - t^4.58/y - t^6.76/y + t^7.38/y + t^7.42/y + (3*t^7.73)/y + t^7.78/y + (4*t^8.04)/y + (2*t^8.09)/y + t^8.39/y + (2*t^8.4)/y + (2*t^8.64)/y + (2*t^8.65)/y + t^8.69/y + (4*t^8.7)/y + t^8.75/y + t^8.95/y - t^4.58*y - t^6.76*y + t^7.38*y + t^7.42*y + 3*t^7.73*y + t^7.78*y + 4*t^8.04*y + 2*t^8.09*y + t^8.39*y + 2*t^8.4*y + 2*t^8.64*y + 2*t^8.65*y + t^8.69*y + 4*t^8.7*y + t^8.75*y + t^8.95*y | (2*g2^7*t^2.19)/g1^5 + (g1^7*t^2.24)/g2^5 + g1^12*g2^12*t^2.55 + 2*g1^4*g2^4*t^2.85 + t^3.45/(g1^12*g2^12) + g1*g2^13*t^3.46 + g1^13*g2*t^3.51 + (g2^5*t^3.76)/g1^7 + (g2^22*t^4.07)/g1^2 + g1^10*g2^10*t^4.12 + (g1^22*t^4.17)/g2^2 + (3*g2^14*t^4.38)/g1^10 + 2*g1^2*g2^2*t^4.42 + (g1^14*t^4.47)/g2^10 + 2*g1^7*g2^19*t^4.73 + g1^19*g2^7*t^4.78 + (4*g2^11*t^5.04)/g1 + (2*g1^11*t^5.09)/g2 + g1^24*g2^24*t^5.09 + 2*g1^16*g2^16*t^5.4 + t^5.64/(g1^17*g2^5) + (2*g2^20*t^5.65)/g1^4 + 5*g1^8*g2^8*t^5.7 + (g1^20*t^5.75)/g2^4 + (g2^12*t^5.95)/g1^12 - 2*t^6. + g1^13*g2^25*t^6.01 - (g1^12*t^6.05)/g2^12 + g1^25*g2^13*t^6.06 + (2*g2^29*t^6.26)/g1^7 + 4*g1^5*g2^17*t^6.31 + 3*g1^17*g2^5*t^6.36 + (g1^29*t^6.41)/g2^7 + (4*g2^21*t^6.56)/g1^15 + (3*g2^9*t^6.61)/g1^3 + g1^10*g2^34*t^6.62 + g1^22*g2^22*t^6.67 + (g1^21*t^6.71)/g2^15 + g1^34*g2^10*t^6.72 + t^6.91/(g1^24*g2^24) - (g2*t^6.91)/g1^11 + 5*g1^2*g2^26*t^6.92 - (g1*t^6.96)/g2^11 + 4*g1^14*g2^14*t^6.97 + 3*g1^26*g2^2*t^7.02 + (6*g2^18*t^7.22)/g1^6 - t^7.27/(g1^7*g2^19) + 2*g1^6*g2^6*t^7.27 + 2*g1^19*g2^31*t^7.28 + (g1^18*t^7.32)/g2^6 + g1^31*g2^19*t^7.33 + (g2^35*t^7.53)/g1 - (3*t^7.58)/(g1^2*g2^2) + 5*g1^11*g2^23*t^7.58 - (g1^10*t^7.62)/g2^14 + 3*g1^23*g2^11*t^7.63 + g1^36*g2^36*t^7.64 + (g1^35*t^7.68)/g2 + (g2^2*t^7.83)/g1^22 + (4*g2^27*t^7.84)/g1^9 - t^7.88/(g1^10*g2^10) + 7*g1^3*g2^15*t^7.89 + 3*g1^15*g2^3*t^7.93 + 2*g1^28*g2^28*t^7.94 + (g1^27*t^7.98)/g2^9 + (g2^19*t^8.14)/g1^17 + (g2^44*t^8.15)/g1^4 - (6*g2^7*t^8.19)/g1^5 + 3*g1^8*g2^32*t^8.2 - (5*g1^7*t^8.24)/g2^5 + 6*g1^20*g2^20*t^8.24 - (g1^19*t^8.29)/g2^17 + 2*g1^32*g2^8*t^8.29 + (g1^44*t^8.34)/g2^4 + (3*g2^36*t^8.45)/g1^12 - (2*t^8.49)/(g1^13*g2) + 6*g2^24*t^8.5 - (2*t^8.54)/(g1*g2^13) + 6*g1^12*g2^12*t^8.55 + g1^25*g2^37*t^8.55 + 2*g1^24*t^8.6 + g1^37*g2^25*t^8.6 + (g1^36*t^8.65)/g2^12 + (5*g2^28*t^8.75)/g1^20 + (2*g2^16*t^8.8)/g1^8 + 2*g1^5*g2^41*t^8.81 - 8*g1^4*g2^4*t^8.85 + 4*g1^17*g2^29*t^8.86 - (2*g1^16*t^8.9)/g2^8 + 3*g1^29*g2^17*t^8.91 + (g1^28*t^8.95)/g2^20 + g1^41*g2^5*t^8.95 - t^4.58/(g1^2*g2^2*y) - (g2^5*t^6.76)/(g1^7*y) + (g2^14*t^7.38)/(g1^10*y) + (g1^2*g2^2*t^7.42)/y + t^7.73/(g1^6*g2^6*y) + (2*g1^7*g2^19*t^7.73)/y + (g1^19*g2^7*t^7.78)/y + (4*g2^11*t^8.04)/(g1*y) + (2*g1^11*t^8.09)/(g2*y) + (g1^3*t^8.39)/(g2^9*y) + (2*g1^16*g2^16*t^8.4)/y + (2*t^8.64)/(g1^17*g2^5*y) + (2*g2^20*t^8.65)/(g1^4*y) + t^8.69/(g1^5*g2^17*y) + (4*g1^8*g2^8*t^8.7)/y + (g1^20*t^8.75)/(g2^4*y) + (g2^12*t^8.95)/(g1^12*y) - (t^4.58*y)/(g1^2*g2^2) - (g2^5*t^6.76*y)/g1^7 + (g2^14*t^7.38*y)/g1^10 + g1^2*g2^2*t^7.42*y + (t^7.73*y)/(g1^6*g2^6) + 2*g1^7*g2^19*t^7.73*y + g1^19*g2^7*t^7.78*y + (4*g2^11*t^8.04*y)/g1 + (2*g1^11*t^8.09*y)/g2 + (g1^3*t^8.39*y)/g2^9 + 2*g1^16*g2^16*t^8.4*y + (2*t^8.64*y)/(g1^17*g2^5) + (2*g2^20*t^8.65*y)/g1^4 + (t^8.69*y)/(g1^5*g2^17) + 4*g1^8*g2^8*t^8.7*y + (g1^20*t^8.75*y)/g2^4 + (g2^12*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 855 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6214 | 0.8083 | 0.7688 | [X:[], M:[0.9495, 1.1514, 0.9495, 0.8486, 0.7374], q:[0.7374, 0.3131], qb:[0.4243, 0.4243], phi:[0.5252]] | 3*t^2.21 + t^2.55 + 2*t^2.85 + t^3.45 + 2*t^3.49 + t^3.79 + 3*t^4.12 + 6*t^4.42 + 3*t^4.76 + 6*t^5.06 + t^5.09 + 2*t^5.39 + t^5.67 + 8*t^5.7 - 2*t^6. - t^4.58/y - t^4.58*y | detail | |
| 854 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ | 0.6126 | 0.807 | 0.7591 | [X:[], M:[0.9185, 1.2444, 0.9185, 0.7556, 0.7556], q:[0.7296, 0.3518], qb:[0.3518, 0.4038], phi:[0.5407]] | t^2.11 + 3*t^2.27 + 2*t^2.76 + t^3.24 + t^3.4 + 2*t^3.73 + 2*t^3.89 + t^4.04 + t^4.22 + 3*t^4.38 + 6*t^4.53 + 2*t^4.87 + 6*t^5.02 + t^5.36 + 6*t^5.51 + 3*t^5.67 + 3*t^6. - t^4.62/y - t^4.62*y | detail | |
| 856 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6409 | 0.8444 | 0.759 | [X:[], M:[0.9489, 1.1534, 0.9489, 0.8466, 0.7372, 0.7372], q:[0.7372, 0.3139], qb:[0.4233, 0.4233], phi:[0.5256]] | 4*t^2.21 + t^2.54 + 2*t^2.85 + t^3.46 + 2*t^3.48 + 3*t^4.12 + 10*t^4.42 + 4*t^4.75 + 8*t^5.06 + t^5.08 + 2*t^5.39 + 2*t^5.67 + 10*t^5.69 - 5*t^6. - t^4.58/y - t^4.58*y | detail | |
| 1888 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6371 | 0.8353 | 0.7627 | [X:[], M:[0.958, 1.1261, 0.958, 0.8739, 0.7168, 0.8009], q:[0.7395, 0.3026], qb:[0.4596, 0.4142], phi:[0.521]] | 2*t^2.15 + t^2.29 + t^2.4 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.46 + t^3.71 + t^4.05 + t^4.18 + 3*t^4.3 + t^4.32 + 2*t^4.44 + 2*t^4.55 + t^4.57 + t^4.69 + 2*t^4.77 + t^4.81 + t^4.91 + 5*t^5.02 + 2*t^5.16 + t^5.24 + 2*t^5.28 + 2*t^5.5 + t^5.53 + 2*t^5.61 + 3*t^5.75 + t^5.78 + 2*t^5.86 - 2*t^6. - t^4.56/y - t^4.56*y | detail | |
| 1887 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.636 | 0.8314 | 0.765 | [X:[], M:[0.9582, 1.1254, 0.9582, 0.8746, 0.7463, 0.8164], q:[0.7395, 0.3023], qb:[0.4305, 0.4441], phi:[0.5209]] | t^2.2 + 2*t^2.24 + t^2.45 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.51 + t^3.8 + t^4.15 + t^4.19 + t^4.23 + t^4.4 + 2*t^4.44 + 3*t^4.48 + t^4.65 + 2*t^4.69 + t^4.82 + 2*t^4.86 + t^4.9 + 3*t^5.07 + 4*t^5.11 + t^5.25 + 2*t^5.32 + 2*t^5.5 + t^5.62 + t^5.71 + 4*t^5.75 + t^5.83 - 2*t^6. - t^4.56/y - t^4.56*y | detail | |
| 1886 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ | 0.6188 | 0.8048 | 0.7688 | [X:[], M:[0.9605, 1.1186, 0.9605, 0.8814, 0.7006], q:[0.7401, 0.2994], qb:[0.4802, 0.4012], phi:[0.5198]] | 2*t^2.1 + t^2.34 + t^2.64 + 2*t^2.88 + t^3.36 + t^3.42 + 2*t^3.66 + t^3.97 + 4*t^4.2 + 3*t^4.44 + t^4.68 + 2*t^4.75 + 5*t^4.98 + 2*t^5.22 + t^5.29 + t^5.46 + 4*t^5.53 + 6*t^5.76 - t^6. - t^4.56/y - t^4.56*y | detail | |
| 1885 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.616 | 0.7963 | 0.7736 | [X:[], M:[0.964, 1.108, 0.964, 0.892, 0.777], q:[0.741, 0.295], qb:[0.41, 0.482], phi:[0.518]] | t^2.11 + 2*t^2.33 + t^2.68 + 2*t^2.89 + t^3.32 + t^3.45 + t^3.67 + t^3.89 + t^4.01 + 2*t^4.23 + 3*t^4.45 + 3*t^4.66 + t^4.79 + 4*t^5.01 + 4*t^5.22 + t^5.35 + 3*t^5.57 + t^5.66 + 4*t^5.78 - t^4.55/y - t^4.55*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 |
|---|---|---|---|---|---|---|---|---|---|
| 345 | 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_2M_4$ | 0.6019 | 0.7721 | 0.7795 | [X:[], M:[0.9502, 1.1494, 0.9502, 0.8506], q:[0.7376, 0.3122], qb:[0.4253, 0.4253], phi:[0.5249]] | 2*t^2.21 + t^2.55 + 2*t^2.85 + t^3.45 + 2*t^3.49 + 2*t^3.79 + 3*t^4.13 + 3*t^4.43 + 2*t^4.76 + 4*t^5.06 + t^5.1 + 2*t^5.4 + 6*t^5.7 - t^6. - t^4.57/y - t^4.57*y | detail |