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 |
|---|---|---|---|---|---|---|---|---|---|
| 55678 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1q_2q_3$ + $ \phi_1\tilde{q}_1^2$ | 0.8484 | 1.0335 | 0.8208 | [X:[], M:[0.6937], q:[0.7263, 0.7425, 0.5638], qb:[0.7344, 0.554, 0.554], phi:[0.5312]] | [X:[], M:[[-1, -5, 1, 1]], q:[[-1, 2, 0, 0], [1, 0, 0, 0], [0, 5, -1, -1]], qb:[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], phi:[[0, -2, 0, 0]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ \tilde{q}_2\tilde{q}_3$, $ q_3\tilde{q}_3$, $ q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1q_3$, $ q_2\tilde{q}_2$, $ q_3\tilde{q}_1$, $ M_1^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ \phi_1q_3\tilde{q}_3$, $ \phi_1q_3^2$, $ M_1\phi_1^2$, $ M_1\tilde{q}_2\tilde{q}_3$, $ M_1q_3\tilde{q}_2$, $ M_1q_1\tilde{q}_2$, $ M_1q_1q_3$, $ M_1\tilde{q}_1\tilde{q}_2$ | . | -6 | t^2.08 + t^3.19 + t^3.32 + 2*t^3.35 + 2*t^3.84 + 3*t^3.87 + 3*t^3.89 + t^4.16 + t^4.38 + t^4.41 + t^4.43 + 3*t^4.92 + 2*t^4.95 + t^4.98 + t^5.27 + t^5.41 + 2*t^5.43 + 2*t^5.92 + 3*t^5.95 - 6*t^6. - t^6.02 - 2*t^6.03 + t^6.24 + t^6.37 + t^6.46 + t^6.51 - 2*t^6.52 - t^6.54 - 2*t^6.57 + t^6.65 + 2*t^6.68 + 3*t^6.71 + 3*t^7. + 2*t^7.03 + t^7.06 - t^7.11 + 2*t^7.17 + 6*t^7.19 + 2*t^7.21 + 6*t^7.22 + 3*t^7.24 + 2*t^7.25 + t^7.35 + t^7.49 + 2*t^7.52 - 2*t^7.56 - 4*t^7.59 - 2*t^7.62 + 3*t^7.68 + 6*t^7.71 + 4*t^7.73 + 5*t^7.74 + 4*t^7.75 + 3*t^7.76 + 5*t^7.78 + 2*t^8. + 3*t^8.03 - 6*t^8.08 + 2*t^8.13 + t^8.16 + 2*t^8.22 + 3*t^8.24 + 3*t^8.25 + 8*t^8.27 + t^8.28 + 6*t^8.3 + 3*t^8.32 + 2*t^8.33 + t^8.46 + t^8.54 + t^8.59 - 2*t^8.6 + 3*t^8.68 + t^8.73 + 6*t^8.76 + 4*t^8.78 + 6*t^8.79 + 7*t^8.81 + 2*t^8.82 + 2*t^8.84 + t^8.85 + t^8.87 - t^4.59/y - t^6.67/y + t^7.41/y - t^7.78/y + t^8.27/y + t^8.41/y + (2*t^8.43)/y + t^8.51/y - t^8.76/y + (2*t^8.92)/y + (3*t^8.95)/y + (2*t^8.97)/y + t^8.98/y - t^4.59*y - t^6.67*y + t^7.41*y - t^7.78*y + t^8.27*y + t^8.41*y + 2*t^8.43*y + t^8.51*y - t^8.76*y + 2*t^8.92*y + 3*t^8.95*y + 2*t^8.97*y + t^8.98*y | (g3*g4*t^2.08)/(g1*g2^5) + t^3.19/g2^4 + g3*g4*t^3.32 + (g2^5*t^3.35)/g3 + (g2^5*t^3.35)/g4 + (g2^2*g3*t^3.84)/g1 + (g2^2*g4*t^3.84)/g1 + g2*g3*t^3.87 + (g2^7*t^3.87)/(g1*g3*g4) + g2*g4*t^3.87 + g1*g3*t^3.89 + (g2^6*t^3.89)/(g3*g4) + g1*g4*t^3.89 + (g3^2*g4^2*t^4.16)/(g1^2*g2^10) + (g2^3*t^4.38)/g1 + g2^2*t^4.41 + g1*g2*t^4.43 + (g3^2*t^4.92)/g2^2 + (g3*g4*t^4.92)/g2^2 + (g4^2*t^4.92)/g2^2 + (g2^3*t^4.95)/g3 + (g2^3*t^4.95)/g4 + (g2^8*t^4.98)/(g3^2*g4^2) + (g3*g4*t^5.27)/(g1*g2^9) + (g3^2*g4^2*t^5.41)/(g1*g2^5) + (g3*t^5.43)/g1 + (g4*t^5.43)/g1 + (g3^2*g4*t^5.92)/(g1^2*g2^3) + (g3*g4^2*t^5.92)/(g1^2*g2^3) + (g2^2*t^5.95)/g1^2 + (g3^2*g4*t^5.95)/(g1*g2^4) + (g3*g4^2*t^5.95)/(g1*g2^4) - 4*t^6. - (g3*t^6.)/g4 - (g4*t^6.)/g3 - (g1*t^6.02)/g2 - (g2^5*t^6.03)/(g3*g4^2) - (g2^5*t^6.03)/(g3^2*g4) + (g3^3*g4^3*t^6.24)/(g1^3*g2^15) + t^6.37/g2^8 + (g3*g4*t^6.46)/(g1^2*g2^2) + (g3*g4*t^6.51)/g2^4 - (g2^2*t^6.52)/(g1*g3) - (g2^2*t^6.52)/(g1*g4) - (g1*g3*g4*t^6.54)/g2^5 - (g1*t^6.57)/g3 - (g1*t^6.57)/g4 + g3^2*g4^2*t^6.65 + g2^5*g3*t^6.68 + g2^5*g4*t^6.68 + (g2^10*t^6.71)/g3^2 + (g2^10*t^6.71)/g4^2 + (g2^10*t^6.71)/(g3*g4) + (g3^3*g4*t^7.)/(g1*g2^7) + (g3^2*g4^2*t^7.)/(g1*g2^7) + (g3*g4^3*t^7.)/(g1*g2^7) + (g3*t^7.03)/(g1*g2^2) + (g4*t^7.03)/(g1*g2^2) + (g2^3*t^7.06)/(g1*g3*g4) - (g1*g2*t^7.11)/(g3*g4) + (g2^2*g3^2*g4*t^7.17)/g1 + (g2^2*g3*g4^2*t^7.17)/g1 + (2*g2^7*t^7.19)/g1 + (g2^7*g3*t^7.19)/(g1*g4) + (g2^7*g4*t^7.19)/(g1*g3) + g2*g3^2*g4*t^7.19 + g2*g3*g4^2*t^7.19 + g1*g3^2*g4*t^7.21 + g1*g3*g4^2*t^7.21 + 2*g2^6*t^7.22 + (g2^12*t^7.22)/(g1*g3*g4^2) + (g2^12*t^7.22)/(g1*g3^2*g4) + (g2^6*g3*t^7.22)/g4 + (g2^6*g4*t^7.22)/g3 + g1*g2^5*t^7.24 + (g1*g2^5*g3*t^7.24)/g4 + (g1*g2^5*g4*t^7.24)/g3 + (g2^11*t^7.25)/(g3*g4^2) + (g2^11*t^7.25)/(g3^2*g4) + (g3^2*g4^2*t^7.35)/(g1^2*g2^14) + (g3^3*g4^3*t^7.49)/(g1^2*g2^10) + (g3^2*g4*t^7.52)/(g1^2*g2^5) + (g3*g4^2*t^7.52)/(g1^2*g2^5) - (g3^2*g4*t^7.56)/g2^7 - (g3*g4^2*t^7.56)/g2^7 - (2*t^7.59)/g2^2 - (g3*t^7.59)/(g2^2*g4) - (g4*t^7.59)/(g2^2*g3) - (g2^3*t^7.62)/(g3*g4^2) - (g2^3*t^7.62)/(g3^2*g4) + (g2^4*g3^2*t^7.68)/g1^2 + (g2^4*g3*g4*t^7.68)/g1^2 + (g2^4*g4^2*t^7.68)/g1^2 + (g2^9*t^7.71)/(g1^2*g3) + (g2^3*g3^2*t^7.71)/g1 + (g2^9*t^7.71)/(g1^2*g4) + (2*g2^3*g3*g4*t^7.71)/g1 + (g2^3*g4^2*t^7.71)/g1 + g2^2*g3^2*t^7.73 + 2*g2^2*g3*g4*t^7.73 + g2^2*g4^2*t^7.73 + (2*g2^8*t^7.74)/(g1*g3) + (g2^14*t^7.74)/(g1^2*g3^2*g4^2) + (2*g2^8*t^7.74)/(g1*g4) + g1*g2*g3^2*t^7.75 + 2*g1*g2*g3*g4*t^7.75 + g1*g2*g4^2*t^7.75 + (g2^7*t^7.76)/g3 + (g2^13*t^7.76)/(g1*g3^2*g4^2) + (g2^7*t^7.76)/g4 + (g1*g2^6*t^7.78)/g3 + g1^2*g3^2*t^7.78 + (g1*g2^6*t^7.78)/g4 + g1^2*g3*g4*t^7.78 + g1^2*g4^2*t^7.78 + (g3^3*g4^2*t^8.)/(g1^3*g2^8) + (g3^2*g4^3*t^8.)/(g1^3*g2^8) + (g3*g4*t^8.03)/(g1^3*g2^3) + (g3^3*g4^2*t^8.03)/(g1^2*g2^9) + (g3^2*g4^3*t^8.03)/(g1^2*g2^9) - (g3^2*t^8.08)/(g1*g2^5) - (4*g3*g4*t^8.08)/(g1*g2^5) - (g4^2*t^8.08)/(g1*g2^5) - t^8.11/(g1*g3) + (g3^2*t^8.11)/g2^6 - t^8.11/(g1*g4) + (g4^2*t^8.11)/g2^6 + t^8.13/(g2*g3) + t^8.13/(g2*g4) + (g2^4*t^8.16)/(g3^2*g4^2) + (g2^5*g3*t^8.22)/g1^2 + (g2^5*g4*t^8.22)/g1^2 + (g3^3*g4*t^8.24)/g2^2 + (g3^2*g4^2*t^8.24)/g2^2 + (g3*g4^3*t^8.24)/g2^2 + (g2^4*g3*t^8.25)/g1 + (g2^10*t^8.25)/(g1^2*g3*g4) + (g2^4*g4*t^8.25)/g1 + 3*g2^3*g3*t^8.27 + (g2^3*g3^2*t^8.27)/g4 + 3*g2^3*g4*t^8.27 + (g2^3*g4^2*t^8.27)/g3 + (g2^9*t^8.28)/(g1*g3*g4) + (g2^8*t^8.3)/g3^2 + g1*g2^2*g3*t^8.3 + (g2^8*t^8.3)/g4^2 + (2*g2^8*t^8.3)/(g3*g4) + g1*g2^2*g4*t^8.3 + g1^2*g2*g3*t^8.32 + g1^2*g2*g4*t^8.32 + (g3^4*g4^4*t^8.32)/(g1^4*g2^20) + (g2^13*t^8.33)/(g3^2*g4^3) + (g2^13*t^8.33)/(g3^3*g4^2) + (g3*g4*t^8.46)/(g1*g2^13) + (g3^2*g4^2*t^8.54)/(g1^3*g2^7) + (g3^2*g4^2*t^8.59)/(g1*g2^9) - (g3*t^8.6)/(g1^2*g2^3) - (g4*t^8.6)/(g1^2*g2^3) + t^8.68/g3^2 + t^8.68/g4^2 + t^8.68/(g3*g4) + (g3^3*g4^3*t^8.73)/(g1*g2^5) + (g3^3*t^8.76)/g1 + (2*g3^2*g4*t^8.76)/g1 + (2*g3*g4^2*t^8.76)/g1 + (g4^3*t^8.76)/g1 + (g3^3*t^8.78)/g2 + (g3^2*g4*t^8.78)/g2 + (g3*g4^2*t^8.78)/g2 + (g4^3*t^8.78)/g2 + (2*g2^5*t^8.79)/g1 + (2*g2^5*g3*t^8.79)/(g1*g4) + (2*g2^5*g4*t^8.79)/(g1*g3) + g2^4*t^8.81 + (g1*g3^3*t^8.81)/g2^2 + (g2^4*g3*t^8.81)/g4 + (g2^4*g4*t^8.81)/g3 + (g1*g3^2*g4*t^8.81)/g2^2 + (g1*g3*g4^2*t^8.81)/g2^2 + (g1*g4^3*t^8.81)/g2^2 + (g2^10*t^8.82)/(g1*g3*g4^2) + (g2^10*t^8.82)/(g1*g3^2*g4) + (g2^9*t^8.84)/(g3*g4^2) + (g2^9*t^8.84)/(g3^2*g4) + (g2^15*t^8.85)/(g1*g3^3*g4^3) + (g2^14*t^8.87)/(g3^3*g4^3) - t^4.59/(g2^2*y) - (g3*g4*t^6.67)/(g1*g2^7*y) + (g2^2*t^7.41)/y - t^7.78/(g2^6*y) + (g3*g4*t^8.27)/(g1*g2^9*y) + (g3^2*g4^2*t^8.41)/(g1*g2^5*y) + (g3*t^8.43)/(g1*y) + (g4*t^8.43)/(g1*y) + (g1*g2^3*t^8.51)/(g3*g4*y) - (g3^2*g4^2*t^8.76)/(g1^2*g2^12*y) + (g3^2*g4*t^8.92)/(g1^2*g2^3*y) + (g3*g4^2*t^8.92)/(g1^2*g2^3*y) + (g2^2*t^8.95)/(g1^2*y) + (g3^2*g4*t^8.95)/(g1*g2^4*y) + (g3*g4^2*t^8.95)/(g1*g2^4*y) + (g3^2*g4*t^8.97)/(g2^5*y) + (g3*g4^2*t^8.97)/(g2^5*y) + (g2*t^8.98)/(g1*y) - (t^4.59*y)/g2^2 - (g3*g4*t^6.67*y)/(g1*g2^7) + g2^2*t^7.41*y - (t^7.78*y)/g2^6 + (g3*g4*t^8.27*y)/(g1*g2^9) + (g3^2*g4^2*t^8.41*y)/(g1*g2^5) + (g3*t^8.43*y)/g1 + (g4*t^8.43*y)/g1 + (g1*g2^3*t^8.51*y)/(g3*g4) - (g3^2*g4^2*t^8.76*y)/(g1^2*g2^12) + (g3^2*g4*t^8.92*y)/(g1^2*g2^3) + (g3*g4^2*t^8.92*y)/(g1^2*g2^3) + (g2^2*t^8.95*y)/g1^2 + (g3^2*g4*t^8.95*y)/(g1*g2^4) + (g3*g4^2*t^8.95*y)/(g1*g2^4) + (g3^2*g4*t^8.97*y)/g2^5 + (g3*g4^2*t^8.97*y)/g2^5 + (g2*t^8.98*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55747 | $\phi_1q_1q_2$ + $ M_1q_2q_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2q_1\tilde{q}_2$ | 0.8687 | 1.0711 | 0.8111 | [X:[], M:[0.6988, 0.6988], q:[0.7365, 0.7365, 0.5647], qb:[0.7365, 0.5647, 0.5532], phi:[0.527]] | 2*t^2.1 + t^3.16 + 2*t^3.35 + t^3.39 + 3*t^3.87 + 4*t^3.9 + 3*t^4.19 + 3*t^4.42 + t^4.9 + 2*t^4.93 + 3*t^4.97 + 2*t^5.26 + 4*t^5.45 + 2*t^5.48 + 4*t^5.97 - t^4.58/y - t^4.58*y | detail | |
| 55740 | $\phi_1q_1q_2$ + $ M_1q_2q_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2q_3\tilde{q}_3$ | 0.8612 | 1.0536 | 0.8174 | [X:[], M:[0.6696, 0.8272], q:[0.7415, 0.7434, 0.587], qb:[0.7424, 0.5394, 0.5858], phi:[0.5151]] | t^2.01 + t^2.48 + t^3.09 + 2*t^3.38 + t^3.84 + 2*t^3.85 + 2*t^3.98 + 3*t^3.99 + t^4.02 + 2*t^4.45 + t^4.46 + t^4.49 + t^4.78 + 2*t^4.92 + t^4.96 + 2*t^5.06 + t^5.07 + t^5.1 + t^5.38 + t^5.39 + t^5.57 + 2*t^5.85 + t^5.86 + 3*t^5.99 - 6*t^6. - t^4.55/y - t^4.55*y | detail | |
| 55725 | $\phi_1q_1q_2$ + $ M_1q_2q_3$ + $ \phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1$ | 0.6752 | 0.8043 | 0.8394 | [X:[], M:[0.8444], q:[1.1911, 0.4268, 0.7288], qb:[0.8089, 0.658, 0.658], phi:[0.3821]] | t^2.29 + t^2.53 + 2*t^3.25 + t^3.71 + t^3.95 + 2*t^4.16 + 2*t^4.4 + t^4.59 + t^4.61 + t^4.83 + t^5.07 + 2*t^5.09 + t^5.52 + 2*t^5.55 - 5*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55455 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1q_2q_3$ | 0.8641 | 1.0553 | 0.8188 | [X:[], M:[0.6776], q:[0.723, 0.7296, 0.5928], qb:[0.5884, 0.5884, 0.5884], phi:[0.5474]] | t^2.03 + t^3.28 + 3*t^3.53 + 3*t^3.54 + 3*t^3.93 + 4*t^3.95 + t^4.07 + t^4.36 + 6*t^5.17 + 3*t^5.19 + t^5.2 + t^5.32 + 3*t^5.56 + 3*t^5.58 + 3*t^5.97 + t^5.98 - 11*t^6. - t^4.64/y - t^4.64*y | detail |