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 |
|---|---|---|---|---|---|---|---|---|---|
| 1742 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_1$ | 0.6135 | 0.7901 | 0.7764 | [X:[], M:[0.9652, 1.1043, 0.8957, 0.7952], q:[0.7413, 0.2934], qb:[0.4635, 0.4322], phi:[0.5174]] | [X:[], M:[[4, 4], [-12, -12], [12, 12], [-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_3$, $ M_1$, $ \phi_1^2$, $ \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$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_4^2$, $ M_3q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_4$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4\phi_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_3$, $ M_4\phi_1q_2^2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_3\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.18 + t^2.27 + t^2.39 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.52 + t^3.73 + t^3.82 + t^4.15 + t^4.24 + t^4.33 + t^4.35 + t^4.45 + t^4.54 + t^4.56 + t^4.66 + t^4.77 + t^4.86 + t^4.96 + 2*t^5.07 + t^5.17 + 2*t^5.28 + t^5.37 + t^5.38 + t^5.49 + t^5.58 + 2*t^5.7 + 2*t^5.79 + t^5.91 + t^6.11 + 2*t^6.21 + t^6.32 + 3*t^6.42 + t^6.51 + 2*t^6.53 + t^6.6 + 2*t^6.62 + t^6.63 + t^6.72 + t^6.74 + t^6.81 + 2*t^6.83 + t^6.93 + t^6.95 + t^7.02 + 3*t^7.04 + t^7.14 + t^7.16 + t^7.23 + 3*t^7.25 + t^7.34 + t^7.44 + 3*t^7.46 + t^7.55 + 2*t^7.65 + 3*t^7.67 + 2*t^7.76 + t^7.85 + 2*t^7.87 + t^7.88 + 2*t^7.97 + 2*t^8.06 + 2*t^8.08 + t^8.16 - t^8.27 + 2*t^8.29 + 2*t^8.38 - t^8.39 + 2*t^8.48 + 2*t^8.5 + t^8.57 + 3*t^8.59 + t^8.67 + 2*t^8.71 + 3*t^8.8 + t^8.88 + t^8.89 - 2*t^8.9 + 2*t^8.92 - t^4.55/y - t^6.94/y + t^7.45/y + t^7.56/y + t^7.66/y + t^7.86/y + t^7.96/y + (2*t^8.07)/y + (2*t^8.17)/y + (2*t^8.28)/y + t^8.38/y + (2*t^8.49)/y + (2*t^8.58)/y + (2*t^8.7)/y + (2*t^8.79)/y + (2*t^8.91)/y - t^4.55*y - t^6.94*y + t^7.45*y + t^7.56*y + t^7.66*y + t^7.86*y + t^7.96*y + 2*t^8.07*y + 2*t^8.17*y + 2*t^8.28*y + t^8.38*y + 2*t^8.49*y + 2*t^8.58*y + 2*t^8.7*y + 2*t^8.79*y + 2*t^8.91*y | (g2^7*t^2.18)/g1^5 + (g1^7*t^2.27)/g2^5 + t^2.39/(g1^13*g2) + g1^12*g2^12*t^2.69 + g1^4*g2^4*t^2.9 + t^3.1/(g1^4*g2^4) + t^3.31/(g1^12*g2^12) + g1*g2^13*t^3.52 + (g2^5*t^3.73)/g1^7 + (g1^5*t^3.82)/g2^7 + (g2^22*t^4.15)/g1^2 + g1^10*g2^10*t^4.24 + (g1^22*t^4.33)/g2^2 + (g2^14*t^4.35)/g1^10 + g1^2*g2^2*t^4.45 + (g1^14*t^4.54)/g2^10 + (g2^6*t^4.56)/g1^18 + t^4.66/(g1^6*g2^6) + t^4.77/(g1^26*g2^2) + g1^7*g2^19*t^4.86 + g1^19*g2^7*t^4.96 + (2*g2^11*t^5.07)/g1 + (g1^11*t^5.17)/g2 + (2*g2^3*t^5.28)/g1^9 + g1^24*g2^24*t^5.37 + (g1^3*t^5.38)/g2^9 + t^5.49/(g1^17*g2^5) + g1^16*g2^16*t^5.58 + t^5.7/(g1^25*g2^13) + (g2^20*t^5.7)/g1^4 + 2*g1^8*g2^8*t^5.79 + (g2^12*t^5.91)/g1^12 + (g2^4*t^6.11)/g1^20 + t^6.21/(g1^8*g2^8) + g1^13*g2^25*t^6.21 + (g2^29*t^6.32)/g1^7 + t^6.42/(g1^16*g2^16) + 2*g1^5*g2^17*t^6.42 + g1^17*g2^5*t^6.51 + (2*g2^21*t^6.53)/g1^15 + (g1^29*t^6.6)/g2^7 + (2*g2^9*t^6.62)/g1^3 + t^6.63/(g1^24*g2^24) + (g1^9*t^6.72)/g2^3 + (g2^13*t^6.74)/g1^23 + (g1^21*t^6.81)/g2^15 + (g2*t^6.83)/g1^11 + g1^10*g2^34*t^6.83 + g1^22*g2^22*t^6.93 + (g2^5*t^6.95)/g1^31 + g1^34*g2^10*t^7.02 + t^7.04/(g1^19*g2^7) + 2*g1^2*g2^26*t^7.04 + g1^14*g2^14*t^7.14 + t^7.16/(g1^39*g2^3) + g1^26*g2^2*t^7.23 + (3*g2^18*t^7.25)/g1^6 + g1^6*g2^6*t^7.34 + (g1^18*t^7.44)/g2^6 + (3*g2^10*t^7.46)/g1^14 + g1^19*g2^31*t^7.55 + (g1^10*t^7.65)/g2^14 + g1^31*g2^19*t^7.65 + (2*g2^2*t^7.67)/g1^22 + (g2^35*t^7.67)/g1 + 2*g1^11*g2^23*t^7.76 + g1^23*g2^11*t^7.85 + (2*g2^27*t^7.87)/g1^9 + t^7.88/(g1^30*g2^6) + 2*g1^3*g2^15*t^7.97 + g1^15*g2^3*t^8.06 + g1^36*g2^36*t^8.06 + t^8.08/(g1^38*g2^14) + (g2^19*t^8.08)/g1^17 + (g1^27*t^8.16)/g2^9 - (2*g1^7*t^8.27)/g2^5 + g1^28*g2^28*t^8.27 + (g2^11*t^8.29)/g1^25 + (g2^44*t^8.29)/g1^4 + 2*g1^8*g2^32*t^8.38 - t^8.39/(g1^13*g2) - t^8.48/(g1*g2^13) + 3*g1^20*g2^20*t^8.48 + (g2^3*t^8.5)/g1^33 + (g2^36*t^8.5)/g1^12 + g1^32*g2^8*t^8.57 + t^8.59/(g1^21*g2^9) + 2*g2^24*t^8.59 + (g1^44*t^8.67)/g2^4 + (2*g2^28*t^8.71)/g1^20 + t^8.8/(g1^29*g2^17) + (2*g2^16*t^8.8)/g1^8 + (g1^36*t^8.88)/g2^12 + g1^25*g2^37*t^8.89 - 2*g1^4*g2^4*t^8.9 + (2*g2^20*t^8.92)/g1^28 - t^4.55/(g1^2*g2^2*y) - t^6.94/(g1^15*g2^3*y) + (g1^2*g2^2*t^7.45)/y + (g2^6*t^7.56)/(g1^18*y) + t^7.66/(g1^6*g2^6*y) + (g1^7*g2^19*t^7.86)/y + (g1^19*g2^7*t^7.96)/y + (2*g2^11*t^8.07)/(g1*y) + (2*g1^11*t^8.17)/(g2*y) + (2*g2^3*t^8.28)/(g1^9*y) + (g1^3*t^8.38)/(g2^9*y) + (2*t^8.49)/(g1^17*g2^5*y) + t^8.58/(g1^5*g2^17*y) + (g1^16*g2^16*t^8.58)/y + t^8.7/(g1^25*g2^13*y) + (g2^20*t^8.7)/(g1^4*y) + (2*g1^8*g2^8*t^8.79)/y + (2*g2^12*t^8.91)/(g1^12*y) - (t^4.55*y)/(g1^2*g2^2) - (t^6.94*y)/(g1^15*g2^3) + g1^2*g2^2*t^7.45*y + (g2^6*t^7.56*y)/g1^18 + (t^7.66*y)/(g1^6*g2^6) + g1^7*g2^19*t^7.86*y + g1^19*g2^7*t^7.96*y + (2*g2^11*t^8.07*y)/g1 + (2*g1^11*t^8.17*y)/g2 + (2*g2^3*t^8.28*y)/g1^9 + (g1^3*t^8.38*y)/g2^9 + (2*t^8.49*y)/(g1^17*g2^5) + (t^8.58*y)/(g1^5*g2^17) + g1^16*g2^16*t^8.58*y + (t^8.7*y)/(g1^25*g2^13) + (g2^20*t^8.7*y)/g1^4 + 2*g1^8*g2^8*t^8.79*y + (2*g2^12*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 2743 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ | 0.6107 | 0.7887 | 0.7743 | [X:[], M:[0.9465, 1.1605, 0.8395, 0.8395], q:[0.7366, 0.3169], qb:[0.4238, 0.4157], phi:[0.5267]] | t^2.2 + t^2.22 + 2*t^2.52 + t^2.84 + t^3.16 + t^3.46 + t^3.48 + t^3.78 + t^3.8 + t^4.07 + t^4.1 + t^4.12 + t^4.4 + t^4.42 + t^4.44 + 2*t^4.72 + 2*t^4.74 + 4*t^5.04 + t^5.06 + 3*t^5.36 + t^5.38 + t^5.65 + 3*t^5.68 + 2*t^5.98 + t^6. - t^4.58/y - t^4.58*y | detail | |
| 2745 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6293 | 0.8168 | 0.7704 | [X:[], M:[0.9733, 1.0801, 0.9199, 0.7967, 0.7967], q:[0.7433, 0.2834], qb:[0.4599, 0.4599], phi:[0.5134]] | 2*t^2.23 + 2*t^2.39 + t^2.76 + t^2.92 + t^3.08 + t^3.24 + 2*t^3.77 + 3*t^4.3 + 3*t^4.46 + 4*t^4.62 + 3*t^4.78 + 2*t^4.99 + 4*t^5.15 + 4*t^5.31 + 2*t^5.47 + t^5.52 + 2*t^5.63 + t^5.68 + t^5.84 - t^4.54/y - t^4.54*y | detail | |
| 2744 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.6098 | 0.7827 | 0.7791 | [X:[], M:[0.9775, 1.0675, 0.9325, 0.8119], q:[0.7444, 0.2781], qb:[0.4437, 0.4887], phi:[0.5113]] | t^2.17 + t^2.3 + t^2.44 + t^2.8 + t^2.93 + t^3.07 + t^3.2 + 2*t^3.7 + t^3.83 + t^4.2 + 2*t^4.33 + 2*t^4.47 + 2*t^4.6 + t^4.74 + t^4.87 + t^4.96 + 2*t^5.1 + 3*t^5.23 + 2*t^5.37 + t^5.5 + t^5.59 + t^5.64 + t^5.73 + 2*t^5.86 + t^6. - t^4.53/y - t^4.53*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 |
|---|---|---|---|---|---|---|---|---|---|
| 218 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ | 0.5976 | 0.7632 | 0.783 | [X:[], M:[0.9572, 1.1283, 0.8717], q:[0.7393, 0.3035], qb:[0.4358, 0.4358], phi:[0.5214]] | 2*t^2.22 + t^2.62 + t^2.87 + t^3.13 + t^3.38 + 2*t^3.53 + 2*t^3.78 + 3*t^4.18 + 3*t^4.44 + 2*t^4.83 + 2*t^5.09 + t^5.23 + 2*t^5.35 + t^5.49 + 5*t^5.74 - t^4.56/y - t^4.56*y | detail |