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 |
|---|---|---|---|---|---|---|---|---|---|
| 1750 | 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_4q_1\tilde{q}_1$ | 0.6264 | 0.8156 | 0.7681 | [X:[], M:[0.9845, 1.0466, 0.7252, 0.7563], q:[0.7461, 0.2694], qb:[0.4976, 0.4558], phi:[0.5078]] | [X:[], M:[[4, 4], [-12, -12], [-5, 7], [-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_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ M_3\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ M_1^2$, $ M_4\phi_1q_2\tilde{q}_2$ | . | -2 | 2*t^2.18 + t^2.27 + t^2.3 + t^2.95 + t^3.05 + 2*t^3.14 + t^3.61 + t^3.7 + t^4.26 + 3*t^4.35 + t^4.38 + 2*t^4.44 + 2*t^4.48 + t^4.51 + t^4.54 + t^4.57 + t^4.6 + 2*t^5.13 + 3*t^5.22 + t^5.25 + 4*t^5.32 + t^5.35 + 2*t^5.41 + t^5.44 + 2*t^5.78 + 2*t^5.87 + t^5.91 + t^5.97 - 2*t^6. + t^6.09 - t^6.13 + 2*t^6.19 + 3*t^6.28 + 2*t^6.43 + 5*t^6.53 + 2*t^6.56 + 3*t^6.62 + 4*t^6.65 + t^6.68 + 2*t^6.71 + 3*t^6.75 + t^6.78 + 2*t^6.81 + 2*t^6.84 - t^6.87 + t^6.9 - t^6.96 + t^7.21 + 4*t^7.3 + 6*t^7.4 + 7*t^7.49 + t^7.52 + t^7.56 + 4*t^7.58 + 2*t^7.62 + t^7.65 + 2*t^7.68 + t^7.71 + t^7.74 + t^7.86 + 4*t^7.96 + 3*t^8.05 + 2*t^8.14 - 4*t^8.18 - t^8.21 + t^8.24 - t^8.27 - 4*t^8.3 + 4*t^8.36 - t^8.39 - t^8.43 + 6*t^8.46 + t^8.49 + t^8.52 + 3*t^8.55 + t^8.58 + 3*t^8.61 + t^8.64 + 7*t^8.7 + 3*t^8.73 + t^8.77 + 5*t^8.8 + 5*t^8.83 + t^8.86 + 4*t^8.89 + 5*t^8.92 - 3*t^8.95 + 2*t^8.98 + t^8.99 - t^4.52/y - t^6.7/y - t^6.79/y + t^7.35/y + t^7.38/y + (2*t^7.44)/y + (2*t^7.48)/y + t^7.57/y - t^7.66/y + (2*t^8.13)/y + (3*t^8.22)/y + (2*t^8.25)/y + (5*t^8.32)/y + (2*t^8.35)/y + (2*t^8.41)/y + (2*t^8.44)/y + (2*t^8.78)/y + (2*t^8.87)/y + t^8.91/y - t^4.52*y - t^6.7*y - t^6.79*y + t^7.35*y + t^7.38*y + 2*t^7.44*y + 2*t^7.48*y + t^7.57*y - t^7.66*y + 2*t^8.13*y + 3*t^8.22*y + 2*t^8.25*y + 5*t^8.32*y + 2*t^8.35*y + 2*t^8.41*y + 2*t^8.44*y + 2*t^8.78*y + 2*t^8.87*y + t^8.91*y | (2*g2^7*t^2.18)/g1^5 + t^2.27/(g1^13*g2) + (g1^7*t^2.3)/g2^5 + 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^3.61 + (g2^5*t^3.7)/g1^7 + (g2^22*t^4.26)/g1^2 + (3*g2^14*t^4.35)/g1^10 + g1^10*g2^10*t^4.38 + (2*g2^6*t^4.44)/g1^18 + 2*g1^2*g2^2*t^4.48 + (g1^22*t^4.51)/g2^2 + t^4.54/(g1^26*g2^2) + t^4.57/(g1^6*g2^6) + (g1^14*t^4.6)/g2^10 + (2*g2^11*t^5.13)/g1 + (3*g2^3*t^5.22)/g1^9 + (g1^11*t^5.25)/g2 + (4*t^5.32)/(g1^17*g2^5) + (g1^3*t^5.35)/g2^9 + (2*t^5.41)/(g1^25*g2^13) + t^5.44/(g1^5*g2^17) + (2*g2^20*t^5.78)/g1^4 + (2*g2^12*t^5.87)/g1^12 + g1^8*g2^8*t^5.91 + (g2^4*t^5.97)/g1^20 - 2*t^6. + t^6.09/(g1^8*g2^8) - (g1^12*t^6.13)/g2^12 + (2*t^6.19)/(g1^16*g2^16) + (3*t^6.28)/(g1^24*g2^24) + (2*g2^29*t^6.43)/g1^7 + (5*g2^21*t^6.53)/g1^15 + 2*g1^5*g2^17*t^6.56 + (3*g2^13*t^6.62)/g1^23 + (4*g2^9*t^6.65)/g1^3 + g1^17*g2^5*t^6.68 + (2*g2^5*t^6.71)/g1^31 + (3*g2*t^6.75)/g1^11 + (g1^9*t^6.78)/g2^3 + (g1^29*t^6.81)/g2^7 + t^6.81/(g1^39*g2^3) + (2*t^6.84)/(g1^19*g2^7) - (g1*t^6.87)/g2^11 + (g1^21*t^6.9)/g2^15 - t^6.96/(g1^7*g2^19) + g1^2*g2^26*t^7.21 + (4*g2^18*t^7.3)/g1^6 + (6*g2^10*t^7.4)/g1^14 + (7*g2^2*t^7.49)/g1^22 + t^7.52/(g1^2*g2^2) + (g1^18*t^7.56)/g2^6 + (4*t^7.58)/(g1^30*g2^6) + (2*t^7.62)/(g1^10*g2^10) + (g1^10*t^7.65)/g2^14 + (2*t^7.68)/(g1^38*g2^14) + t^7.71/(g1^18*g2^18) + (g1^2*t^7.74)/g2^22 + (g2^35*t^7.86)/g1 + (4*g2^27*t^7.96)/g1^9 + (3*g2^19*t^8.05)/g1^17 + (2*g2^11*t^8.14)/g1^25 - (4*g2^7*t^8.18)/g1^5 - g1^15*g2^3*t^8.21 + (g2^3*t^8.24)/g1^33 - t^8.27/(g1^13*g2) - (4*g1^7*t^8.3)/g2^5 + (4*t^8.36)/(g1^21*g2^9) - t^8.39/(g1*g2^13) - (g1^19*t^8.43)/g2^17 + (6*t^8.46)/(g1^29*g2^17) + t^8.49/(g1^9*g2^21) + (g2^44*t^8.52)/g1^4 + (3*t^8.55)/(g1^37*g2^25) + t^8.58/(g1^17*g2^29) + (3*g2^36*t^8.61)/g1^12 + g1^8*g2^32*t^8.64 + (7*g2^28*t^8.7)/g1^20 + 3*g2^24*t^8.73 + g1^20*g2^20*t^8.77 + (5*g2^20*t^8.8)/g1^28 + (5*g2^16*t^8.83)/g1^8 + g1^12*g2^12*t^8.86 + g1^32*g2^8*t^8.89 + (3*g2^12*t^8.89)/g1^36 + (5*g2^8*t^8.92)/g1^16 - 3*g1^4*g2^4*t^8.95 + (2*g2^4*t^8.98)/g1^44 + g1^24*t^8.99 - t^4.52/(g1^2*g2^2*y) - (g2^5*t^6.7)/(g1^7*y) - t^6.79/(g1^15*g2^3*y) + (g2^14*t^7.35)/(g1^10*y) + (g1^10*g2^10*t^7.38)/y + (2*g2^6*t^7.44)/(g1^18*y) + (2*g1^2*g2^2*t^7.48)/y + t^7.57/(g1^6*g2^6*y) - t^7.66/(g1^14*g2^14*y) + (2*g2^11*t^8.13)/(g1*y) + (3*g2^3*t^8.22)/(g1^9*y) + (2*g1^11*t^8.25)/(g2*y) + (5*t^8.32)/(g1^17*g2^5*y) + (2*g1^3*t^8.35)/(g2^9*y) + (2*t^8.41)/(g1^25*g2^13*y) + (2*t^8.44)/(g1^5*g2^17*y) + (2*g2^20*t^8.78)/(g1^4*y) + (2*g2^12*t^8.87)/(g1^12*y) + (g1^8*g2^8*t^8.91)/y - (t^4.52*y)/(g1^2*g2^2) - (g2^5*t^6.7*y)/g1^7 - (t^6.79*y)/(g1^15*g2^3) + (g2^14*t^7.35*y)/g1^10 + g1^10*g2^10*t^7.38*y + (2*g2^6*t^7.44*y)/g1^18 + 2*g1^2*g2^2*t^7.48*y + (t^7.57*y)/(g1^6*g2^6) - (t^7.66*y)/(g1^14*g2^14) + (2*g2^11*t^8.13*y)/g1 + (3*g2^3*t^8.22*y)/g1^9 + (2*g1^11*t^8.25*y)/g2 + (5*t^8.32*y)/(g1^17*g2^5) + (2*g1^3*t^8.35*y)/g2^9 + (2*t^8.41*y)/(g1^25*g2^13) + (2*t^8.44*y)/(g1^5*g2^17) + (2*g2^20*t^8.78*y)/g1^4 + (2*g2^12*t^8.87*y)/g1^12 + g1^8*g2^8*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 2755 | $M_1q_1q_2$ + $ 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_4q_1\tilde{q}_1$ + $ M_2M_4$ | 0.6165 | 0.8009 | 0.7697 | [X:[], M:[0.9469, 1.1592, 0.7347, 0.8408], q:[0.7367, 0.3163], qb:[0.4224, 0.4184], phi:[0.5265]] | 2*t^2.2 + t^2.22 + t^2.52 + t^2.84 + t^3.16 + t^3.47 + 2*t^3.48 + t^3.78 + t^4.09 + t^4.1 + t^4.11 + 3*t^4.41 + 2*t^4.42 + t^4.43 + 2*t^4.73 + t^4.74 + 3*t^5.04 + t^5.06 + 3*t^5.36 + t^5.38 + 2*t^5.67 + 5*t^5.68 + t^5.69 + 2*t^5.99 - t^4.58/y - t^4.58*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 |
|---|---|---|---|---|---|---|---|---|---|
| 223 | 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$ | 0.6081 | 0.7817 | 0.778 | [X:[], M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]] | 2*t^2.2 + t^2.26 + t^2.93 + t^3.07 + 2*t^3.2 + t^3.6 + t^3.66 + t^3.74 + t^4.28 + t^4.33 + t^4.39 + 3*t^4.41 + 2*t^4.47 + t^4.52 + 2*t^5.14 + t^5.2 + 2*t^5.27 + t^5.33 + 3*t^5.41 + t^5.46 + 2*t^5.81 + 3*t^5.87 + t^5.92 + t^5.94 - 2*t^6. - t^4.53/y - t^4.53*y | detail |