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 |
|---|---|---|---|---|---|---|---|---|---|
| 1748 | 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}_2$ | 0.6255 | 0.812 | 0.7703 | [X:[], M:[0.9851, 1.0448, 0.749, 0.7734], q:[0.7463, 0.2687], qb:[0.4748, 0.4804], phi:[0.5075]] | [X:[], M:[[4, 4], [-12, -12], [-5, 7], [-1, -13]], 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 |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_3$, $ q_2\tilde{q}_2$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_3$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3q_1\tilde{q}_1$ | . | -2 | t^2.23 + 2*t^2.25 + t^2.32 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.66 + t^3.77 + t^4.37 + t^4.39 + t^4.4 + t^4.46 + 2*t^4.48 + 3*t^4.49 + t^4.55 + 2*t^4.57 + t^4.64 + t^5.19 + 2*t^5.2 + 2*t^5.28 + 2*t^5.29 + 2*t^5.36 + 3*t^5.38 + 2*t^5.45 + t^5.89 + 2*t^5.91 - 2*t^6. + t^6.02 + 2*t^6.09 + 2*t^6.18 + 3*t^6.27 + t^6.6 + 2*t^6.62 + t^6.64 + 2*t^6.65 + 2*t^6.69 + 2*t^6.71 + 3*t^6.72 + 4*t^6.74 + t^6.78 + 2*t^6.8 + 2*t^6.81 + t^6.87 + t^6.89 + t^6.9 + t^6.96 + t^7.33 + t^7.42 + t^7.43 + 3*t^7.45 + 2*t^7.51 + 2*t^7.52 + 4*t^7.54 + 3*t^7.6 + 3*t^7.61 + 4*t^7.63 + 2*t^7.69 + 3*t^7.7 + 2*t^7.77 + t^8.03 + t^8.12 + t^8.16 + t^8.17 - 2*t^8.23 - 5*t^8.25 + t^8.26 - 2*t^8.32 + 2*t^8.34 + 3*t^8.41 + 3*t^8.43 + 3*t^8.5 + 4*t^8.52 + 3*t^8.59 + t^8.74 + t^8.76 + t^8.78 + t^8.79 + t^8.81 + t^8.83 + 2*t^8.85 + 2*t^8.87 + t^8.88 + 3*t^8.9 + 2*t^8.92 + 2*t^8.94 - 2*t^8.96 + 3*t^8.97 + 5*t^8.99 - t^4.52/y - t^6.77/y - t^6.84/y + t^7.39/y + (2*t^7.48)/y + t^7.49/y + t^7.55/y + (2*t^7.57)/y - t^7.66/y + t^8.19/y + (3*t^8.2)/y + (3*t^8.28)/y + (2*t^8.29)/y + (3*t^8.36)/y + (4*t^8.38)/y + (2*t^8.45)/y + t^8.89/y + (2*t^8.91)/y + t^8.98/y - t^4.52*y - t^6.77*y - t^6.84*y + t^7.39*y + 2*t^7.48*y + t^7.49*y + t^7.55*y + 2*t^7.57*y - t^7.66*y + t^8.19*y + 3*t^8.2*y + 3*t^8.28*y + 2*t^8.29*y + 3*t^8.36*y + 4*t^8.38*y + 2*t^8.45*y + t^8.89*y + 2*t^8.91*y + t^8.98*y | (g1^7*t^2.23)/g2^5 + (2*g2^7*t^2.25)/g1^5 + t^2.32/(g1*g2^13) + g1^4*g2^4*t^2.96 + t^3.04/(g1^4*g2^4) + (2*t^3.13)/(g1^12*g2^12) + g1^13*g2*t^3.66 + (g2^5*t^3.77)/g1^7 + (g1^22*t^4.37)/g2^2 + g1^10*g2^10*t^4.39 + (g2^22*t^4.4)/g1^2 + (g1^14*t^4.46)/g2^10 + 2*g1^2*g2^2*t^4.48 + (3*g2^14*t^4.49)/g1^10 + (g1^6*t^4.55)/g2^18 + (2*t^4.57)/(g1^6*g2^6) + t^4.64/(g1^2*g2^26) + (g1^11*t^5.19)/g2 + (2*g2^11*t^5.2)/g1 + (2*g1^3*t^5.28)/g2^9 + (2*g2^3*t^5.29)/g1^9 + (2*t^5.36)/(g1^5*g2^17) + (3*t^5.38)/(g1^17*g2^5) + (2*t^5.45)/(g1^13*g2^25) + (g1^20*t^5.89)/g2^4 + 2*g1^8*g2^8*t^5.91 - 2*t^6. + (g2^12*t^6.02)/g1^12 + (2*t^6.09)/(g1^8*g2^8) + (2*t^6.18)/(g1^16*g2^16) + (3*t^6.27)/(g1^24*g2^24) + (g1^29*t^6.6)/g2^7 + 2*g1^17*g2^5*t^6.62 + g1^5*g2^17*t^6.64 + (2*g2^29*t^6.65)/g1^7 + (2*g1^21*t^6.69)/g2^15 + (2*g1^9*t^6.71)/g2^3 + (3*g2^9*t^6.72)/g1^3 + (4*g2^21*t^6.74)/g1^15 + (g1^13*t^6.78)/g2^23 + (2*g1*t^6.8)/g2^11 + (2*g2*t^6.81)/g1^11 + (g1^5*t^6.87)/g2^31 + t^6.89/(g1^7*g2^19) + t^6.9/(g1^19*g2^7) + t^6.96/(g1^3*g2^39) + g1^26*g2^2*t^7.33 + (g1^18*t^7.42)/g2^6 + g1^6*g2^6*t^7.43 + (3*g2^18*t^7.45)/g1^6 + (2*g1^10*t^7.51)/g2^14 + (2*t^7.52)/(g1^2*g2^2) + (4*g2^10*t^7.54)/g1^14 + (3*g1^2*t^7.6)/g2^22 + (3*t^7.61)/(g1^10*g2^10) + (4*g2^2*t^7.63)/g1^22 + (2*t^7.69)/(g1^6*g2^30) + (3*t^7.7)/(g1^18*g2^18) + (2*t^7.77)/(g1^14*g2^38) + (g1^35*t^8.03)/g2 + (g1^27*t^8.12)/g2^9 + g1^3*g2^15*t^8.16 + (g2^27*t^8.17)/g1^9 - (2*g1^7*t^8.23)/g2^5 - (5*g2^7*t^8.25)/g1^5 + (g2^19*t^8.26)/g1^17 - (2*t^8.32)/(g1*g2^13) + (2*t^8.34)/(g1^13*g2) + (3*t^8.41)/(g1^9*g2^21) + (3*t^8.43)/(g1^21*g2^9) + (3*t^8.5)/(g1^17*g2^29) + (4*t^8.52)/(g1^29*g2^17) + (3*t^8.59)/(g1^25*g2^37) + (g1^44*t^8.74)/g2^4 + g1^32*g2^8*t^8.76 + g1^20*g2^20*t^8.78 + g1^8*g2^32*t^8.79 + (g2^44*t^8.81)/g1^4 + (g1^36*t^8.83)/g2^12 + 2*g1^24*t^8.85 + 2*g1^12*g2^12*t^8.87 + g2^24*t^8.88 + (3*g2^36*t^8.9)/g1^12 + (2*g1^28*t^8.92)/g2^20 + (2*g1^16*t^8.94)/g2^8 - 2*g1^4*g2^4*t^8.96 + (3*g2^16*t^8.97)/g1^8 + (5*g2^28*t^8.99)/g1^20 - t^4.52/(g1^2*g2^2*y) - (g2^5*t^6.77)/(g1^7*y) - t^6.84/(g1^3*g2^15*y) + (g1^10*g2^10*t^7.39)/y + (2*g1^2*g2^2*t^7.48)/y + (g2^14*t^7.49)/(g1^10*y) + (g1^6*t^7.55)/(g2^18*y) + (2*t^7.57)/(g1^6*g2^6*y) - t^7.66/(g1^14*g2^14*y) + (g1^11*t^8.19)/(g2*y) + (3*g2^11*t^8.2)/(g1*y) + (3*g1^3*t^8.28)/(g2^9*y) + (2*g2^3*t^8.29)/(g1^9*y) + (3*t^8.36)/(g1^5*g2^17*y) + (4*t^8.38)/(g1^17*g2^5*y) + (2*t^8.45)/(g1^13*g2^25*y) + (g1^20*t^8.89)/(g2^4*y) + (2*g1^8*g2^8*t^8.91)/y + (g1^12*t^8.98)/(g2^12*y) - (t^4.52*y)/(g1^2*g2^2) - (g2^5*t^6.77*y)/g1^7 - (t^6.84*y)/(g1^3*g2^15) + g1^10*g2^10*t^7.39*y + 2*g1^2*g2^2*t^7.48*y + (g2^14*t^7.49*y)/g1^10 + (g1^6*t^7.55*y)/g2^18 + (2*t^7.57*y)/(g1^6*g2^6) - (t^7.66*y)/(g1^14*g2^14) + (g1^11*t^8.19*y)/g2 + (3*g2^11*t^8.2*y)/g1 + (3*g1^3*t^8.28*y)/g2^9 + (2*g2^3*t^8.29*y)/g1^9 + (3*t^8.36*y)/(g1^5*g2^17) + (4*t^8.38*y)/(g1^17*g2^5) + (2*t^8.45*y)/(g1^13*g2^25) + (g1^20*t^8.89*y)/g2^4 + 2*g1^8*g2^8*t^8.91*y + (g1^12*t^8.98*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2753 | $M_1q_1q_2$ + $ 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}_2$ + $ M_2M_4$ | 0.6169 | 0.8012 | 0.7699 | [X:[], M:[0.95, 1.15, 0.725, 0.85], q:[0.7375, 0.3125], qb:[0.4375, 0.4125], phi:[0.525]] | 2*t^2.18 + t^2.25 + t^2.55 + t^2.85 + t^3.15 + 2*t^3.45 + t^3.52 + t^3.75 + t^4.05 + t^4.12 + t^4.2 + 3*t^4.35 + 2*t^4.42 + t^4.5 + 2*t^4.73 + t^4.8 + 2*t^5.03 + 2*t^5.1 + 2*t^5.33 + 2*t^5.4 + 3*t^5.63 + 4*t^5.7 + t^5.77 + t^5.93 - t^4.58/y - t^4.58*y | detail | |
| 2754 | $M_1q_1q_2$ + $ 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}_2$ + $ M_5q_1\tilde{q}_1$ | 0.6438 | 0.846 | 0.761 | [X:[], M:[0.9916, 1.0253, 0.7393, 0.7733, 0.7562], q:[0.7479, 0.2605], qb:[0.4959, 0.4788], phi:[0.5042]] | 2*t^2.22 + 2*t^2.27 + t^2.32 + t^2.97 + t^3.03 + 2*t^3.08 + t^3.73 + t^4.39 + 4*t^4.44 + 5*t^4.49 + 5*t^4.54 + 2*t^4.59 + t^4.64 + 2*t^5.19 + 4*t^5.24 + 6*t^5.29 + 2*t^5.34 + 2*t^5.35 + 2*t^5.4 + t^5.95 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |