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 |
|---|---|---|---|---|---|---|---|---|---|
| 47882 | SU3adj1nf2 | $M_1\phi_1q_1\tilde{q}_1$ + $ M_1q_2\tilde{q}_2$ + $ \phi_1^2X_1$ | 1.4342 | 1.6257 | 0.8822 | [X:[1.3547], M:[0.8066], q:[0.4353, 0.5967], qb:[0.4353, 0.5967], phi:[0.3227]] | [X:[[0, 0, 4]], M:[[0, 0, -5]], q:[[-1, 0, 7], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1\tilde{q}_1$, $ \phi_1^3$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_1^2$, $ M_1\phi_1^3$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1^2q_2$, $ \phi_1^3q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ q_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^6$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1q_2^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1^3q_1\tilde{q}_2$ | -1 | t^2.42 + t^2.61 + t^2.9 + 2*t^3.1 + t^3.58 + 3*t^4.06 + 2*t^4.55 + t^4.84 + 3*t^5.03 + t^5.22 + t^5.32 + 2*t^5.37 + 2*t^5.52 + 2*t^5.71 + t^5.81 + 2*t^5.85 - t^6. + 4*t^6.19 + 2*t^6.34 + 5*t^6.68 + 4*t^6.82 + 2*t^6.97 + 9*t^7.16 + t^7.26 + t^7.45 + 9*t^7.64 + t^7.74 + t^7.84 + 2*t^7.94 + 2*t^7.98 + 11*t^8.13 + t^8.23 + 2*t^8.32 - 2*t^8.42 + 6*t^8.47 + 6*t^8.61 + t^8.71 - 4*t^8.76 + 4*t^8.8 + t^8.9 + 8*t^8.95 + t^8.9/y^2 - t^3.97/y - t^4.94/y - t^6.39/y - t^6.58/y - t^6.87/y - (2*t^7.06)/y - t^7.36/y - t^7.55/y - t^7.84/y - t^8.03/y + t^8.32/y + (2*t^8.52)/y + (2*t^8.71)/y - t^8.81/y - t^3.97*y - t^4.94*y - t^6.39*y - t^6.58*y - t^6.87*y - 2*t^7.06*y - t^7.36*y - t^7.55*y - t^7.84*y - t^8.03*y + t^8.32*y + 2*t^8.52*y + 2*t^8.71*y - t^8.81*y + t^8.9*y^2 | t^2.42/g3^5 + g3^7*t^2.61 + t^2.9/g3^6 + (g1*g3^5*t^3.1)/g2 + (g2*g3^7*t^3.1)/g1 + g3^5*t^3.58 + (g1*g3^3*t^4.06)/g2 + g3^4*t^4.06 + (g2*g3^5*t^4.06)/g1 + 2*g3^3*t^4.55 + t^4.84/g3^10 + (g1*g3*t^5.03)/g2 + g3^2*t^5.03 + (g2*g3^3*t^5.03)/g1 + g3^14*t^5.22 + t^5.32/g3^11 + (g1^2*g2*t^5.37)/g3^2 + (g3^17*t^5.37)/(g1^2*g2) + 2*g3*t^5.52 + (g1*g3^12*t^5.71)/g2 + (g2*g3^14*t^5.71)/g1 + t^5.81/g3^12 + (g1*g2^2*t^5.85)/g3^2 + (g3^15*t^5.85)/(g1*g2^2) - 3*t^6. + (g1*t^6.)/(g2*g3) + (g2*g3*t^6.)/g1 + (g1^2*g3^10*t^6.19)/g2^2 + 2*g3^12*t^6.19 + (g2^2*g3^14*t^6.19)/g1^2 + (g1^2*g2*t^6.34)/g3^4 + (g3^15*t^6.34)/(g1^2*g2) - (g2*t^6.48)/g1 - (g1*t^6.48)/(g2*g3^2) + (2*t^6.48)/g3 + (2*g1*g3^10*t^6.68)/g2 + g3^11*t^6.68 + (2*g2*g3^12*t^6.68)/g1 + (g1^3*t^6.82)/g3^6 + (g1*g2^2*t^6.82)/g3^4 + (g3^13*t^6.82)/(g1*g2^2) + (g3^15*t^6.82)/g1^3 + (g1*t^6.97)/(g2*g3^3) + (g2*t^6.97)/(g1*g3) + (g1^2*g3^8*t^7.16)/g2^2 + (g1*g3^9*t^7.16)/g2 + 5*g3^10*t^7.16 + (g2*g3^11*t^7.16)/g1 + (g2^2*g3^12*t^7.16)/g1^2 + t^7.26/g3^15 + (g1^2*g2*t^7.31)/g3^6 - (g1*g2^2*t^7.31)/g3^5 - (g3^12*t^7.31)/(g1*g2^2) + (g3^13*t^7.31)/(g1^2*g2) - (g1*t^7.45)/(g2*g3^4) + (3*t^7.45)/g3^3 - (g2*t^7.45)/(g1*g3^2) + (4*g1*g3^8*t^7.64)/g2 + g3^9*t^7.64 + (4*g2*g3^10*t^7.64)/g1 + t^7.74/g3^16 - (g1^2*g2*t^7.79)/g3^7 + (g1*g2^2*t^7.79)/g3^6 + (g3^11*t^7.79)/(g1*g2^2) - (g3^12*t^7.79)/(g1^2*g2) + g3^21*t^7.84 + (g1*t^7.94)/(g2*g3^5) + (g2*t^7.94)/(g1*g3^3) + g1^2*g2*g3^5*t^7.98 + (g3^24*t^7.98)/(g1^2*g2) + (2*g1^2*g3^6*t^8.13)/g2^2 + 7*g3^8*t^8.13 + (2*g2^2*g3^10*t^8.13)/g1^2 + t^8.23/g3^17 - (g1^3*t^8.27)/g3^9 + (g1^2*g2*t^8.27)/g3^8 - (g1*g2^2*t^8.27)/g3^7 + (g2^3*t^8.27)/g3^6 + (g3^9*t^8.27)/g2^3 - (g3^10*t^8.27)/(g1*g2^2) + (g3^11*t^8.27)/(g1^2*g2) - (g3^12*t^8.27)/g1^3 + (g1*g3^19*t^8.32)/g2 + (g2*g3^21*t^8.32)/g1 - (g1*t^8.42)/(g2*g3^6) - (g2*t^8.42)/(g1*g3^4) + g1^3*g3^3*t^8.47 + 2*g1*g2^2*g3^5*t^8.47 + (2*g3^22*t^8.47)/(g1*g2^2) + (g3^24*t^8.47)/g1^3 + (5*g1*g3^6*t^8.61)/g2 - 4*g3^7*t^8.61 + (5*g2*g3^8*t^8.61)/g1 + t^8.71/g3^18 - (2*g1^2*g2*t^8.76)/g3^9 + (g1*g2^2*t^8.76)/g3^8 - (g2^3*t^8.76)/g3^7 - (g3^8*t^8.76)/g2^3 + (g3^9*t^8.76)/(g1*g2^2) - (2*g3^10*t^8.76)/(g1^2*g2) + (g1^2*g3^17*t^8.8)/g2^2 + 2*g3^19*t^8.8 + (g2^2*g3^21*t^8.8)/g1^2 + (g1*t^8.9)/(g2*g3^7) - t^8.9/g3^6 + (g2*t^8.9)/(g1*g3^5) + 3*g1^2*g2*g3^3*t^8.95 + g2^3*g3^5*t^8.95 + (g3^20*t^8.95)/g2^3 + (3*g3^22*t^8.95)/(g1^2*g2) + t^8.9/(g3^6*y^2) - t^3.97/(g3^2*y) - t^4.94/(g3^4*y) - t^6.39/(g3^7*y) - (g3^5*t^6.58)/y - t^6.87/(g3^8*y) - (g1*g3^3*t^7.06)/(g2*y) - (g2*g3^5*t^7.06)/(g1*y) - t^7.36/(g3^9*y) - (g3^3*t^7.55)/y - t^7.84/(g3^10*y) - (g1*g3*t^8.03)/(g2*y) + (g3^2*t^8.03)/y - (g2*g3^3*t^8.03)/(g1*y) + t^8.32/(g3^11*y) + (g1*t^8.52)/(g2*y) + (g2*g3^2*t^8.52)/(g1*y) + (g1*g3^12*t^8.71)/(g2*y) + (g2*g3^14*t^8.71)/(g1*y) - t^8.81/(g3^12*y) - (t^3.97*y)/g3^2 - (t^4.94*y)/g3^4 - (t^6.39*y)/g3^7 - g3^5*t^6.58*y - (t^6.87*y)/g3^8 - (g1*g3^3*t^7.06*y)/g2 - (g2*g3^5*t^7.06*y)/g1 - (t^7.36*y)/g3^9 - g3^3*t^7.55*y - (t^7.84*y)/g3^10 - (g1*g3*t^8.03*y)/g2 + g3^2*t^8.03*y - (g2*g3^3*t^8.03*y)/g1 + (t^8.32*y)/g3^11 + (g1*t^8.52*y)/g2 + (g2*g3^2*t^8.52*y)/g1 + (g1*g3^12*t^8.71*y)/g2 + (g2*g3^14*t^8.71*y)/g1 - (t^8.81*y)/g3^12 + (t^8.9*y^2)/g3^6 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47874 | SU3adj1nf2 | $M_1\phi_1q_1\tilde{q}_1$ | 1.4951 | 1.7264 | 0.866 | [X:[], M:[0.6735], q:[0.4945, 0.493], qb:[0.4945, 0.493], phi:[0.3375]] | t^2.02 + t^2.03 + 3*t^2.96 + t^2.97 + t^3.04 + 3*t^3.97 + t^4.04 + 2*t^4.05 + 5*t^4.98 + 7*t^4.99 + 2*t^5.06 + 2*t^5.45 + 2*t^5.46 + 7*t^5.92 + 3*t^5.93 + t^5.99 + t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail |