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 |
|---|---|---|---|---|---|---|---|---|---|
| 1668 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ | 0.6817 | 0.8108 | 0.8408 | [X:[], M:[0.8681], q:[0.8067, 0.5659], qb:[0.5659, 0.515], phi:[0.3866]] | [X:[], M:[[-7, -7, 0]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | . | -5 | t^2.32 + t^2.6 + 2*t^3.24 + t^3.96 + 2*t^4.12 + t^4.25 + 2*t^4.4 + 3*t^4.56 + t^4.64 + t^4.92 + t^5.21 + 2*t^5.56 - 5*t^6. - 2*t^6.15 + 3*t^6.49 + 2*t^6.57 + 2*t^6.72 + t^6.85 + 2*t^6.88 + t^6.96 - t^7.16 + 2*t^7.21 + t^7.24 - 2*t^7.31 + 3*t^7.36 + 2*t^7.49 + t^7.53 + 3*t^7.65 + 4*t^7.8 + t^7.81 + 2*t^7.88 + t^8.21 - 5*t^8.32 + 2*t^8.37 - 2*t^8.47 + t^8.5 + 3*t^8.52 - 2*t^8.6 + 2*t^8.65 + 4*t^8.67 + 5*t^8.81 + t^8.89 + t^8.91 + 2*t^8.96 - t^4.16/y - t^6.48/y - t^6.76/y + t^7.56/y + t^7.84/y + t^7.92/y + (2*t^8.56)/y - t^8.8/y + (2*t^8.85)/y - t^4.16*y - t^6.48*y - t^6.76*y + t^7.56*y + t^7.84*y + t^7.92*y + 2*t^8.56*y - t^8.8*y + 2*t^8.85*y | t^2.32/(g1^4*g2^4*g3^4) + t^2.6/(g1^7*g2^7) + g1^7*g3^7*t^3.24 + g2^7*g3^7*t^3.24 + g1*g2*g3^8*t^3.96 + g1^8*g2*g3*t^4.12 + g1*g2^8*g3*t^4.12 + (g3^12*t^4.25)/(g1^2*g2^2) + (g1^5*g3^5*t^4.4)/g2^2 + (g2^5*g3^5*t^4.4)/g1^2 + (g1^12*t^4.56)/(g2^2*g3^2) + (g1^5*g2^5*t^4.56)/g3^2 + (g2^12*t^4.56)/(g1^2*g3^2) + t^4.64/(g1^8*g2^8*g3^8) + t^4.92/(g1^11*g2^11*g3^4) + t^5.21/(g1^14*g2^14) + (g1^3*g3^3*t^5.56)/g2^4 + (g2^3*g3^3*t^5.56)/g1^4 - 3*t^6. - (g1^7*t^6.)/g2^7 - (g2^7*t^6.)/g1^7 - (g1^7*t^6.15)/g3^7 - (g2^7*t^6.15)/g3^7 + g1^14*g3^14*t^6.49 + g1^7*g2^7*g3^14*t^6.49 + g2^14*g3^14*t^6.49 + (2*g3^8*t^6.57)/(g1^6*g2^6) + (g1*g3*t^6.72)/g2^6 + (g2*g3*t^6.72)/g1^6 + (g3^12*t^6.85)/(g1^9*g2^9) + (g1^8*t^6.88)/(g2^6*g3^6) + (g2^8*t^6.88)/(g1^6*g3^6) + t^6.96/(g1^12*g2^12*g3^12) - t^7.16/(g1^2*g2^2*g3^2) + g1^8*g2*g3^15*t^7.21 + g1*g2^8*g3^15*t^7.21 + t^7.24/(g1^15*g2^15*g3^8) - (g1^5*t^7.31)/(g2^2*g3^9) - (g2^5*t^7.31)/(g1^2*g3^9) + g1^15*g2*g3^8*t^7.36 + g1^8*g2^8*g3^8*t^7.36 + g1*g2^15*g3^8*t^7.36 + (g1^5*g3^19*t^7.49)/g2^2 + (g2^5*g3^19*t^7.49)/g1^2 + t^7.53/(g1^18*g2^18*g3^4) + (g1^12*g3^12*t^7.65)/g2^2 + g1^5*g2^5*g3^12*t^7.65 + (g2^12*g3^12*t^7.65)/g1^2 + (g1^19*g3^5*t^7.8)/g2^2 + g1^12*g2^5*g3^5*t^7.8 + g1^5*g2^12*g3^5*t^7.8 + (g2^19*g3^5*t^7.8)/g1^2 + t^7.81/(g1^21*g2^21) + t^7.88/(g1*g2^8*g3) + t^7.88/(g1^8*g2*g3) + (g3^20*t^8.21)/(g1*g2) - (g1^3*t^8.32)/(g2^11*g3^4) - (3*t^8.32)/(g1^4*g2^4*g3^4) - (g2^3*t^8.32)/(g1^11*g3^4) + (g1^6*g3^13*t^8.37)/g2 + (g2^6*g3^13*t^8.37)/g1 - (g1^3*t^8.47)/(g2^4*g3^11) - (g2^3*t^8.47)/(g1^4*g3^11) + (g3^24*t^8.5)/(g1^4*g2^4) + (g1^13*g3^6*t^8.52)/g2 + g1^6*g2^6*g3^6*t^8.52 + (g2^13*g3^6*t^8.52)/g1 - (2*t^8.6)/(g1^7*g2^7) + (g1^3*g3^17*t^8.65)/g2^4 + (g2^3*g3^17*t^8.65)/g1^4 + (g1^20*t^8.67)/(g2*g3) + (g1^13*g2^6*t^8.67)/g3 + (g1^6*g2^13*t^8.67)/g3 + (g2^20*t^8.67)/(g1*g3) + (2*g1^10*g3^10*t^8.81)/g2^4 + g1^3*g2^3*g3^10*t^8.81 + (2*g2^10*g3^10*t^8.81)/g1^4 + (g3^4*t^8.89)/(g1^10*g2^10) + t^8.91/g3^14 + (g1^17*g3^3*t^8.96)/g2^4 + (g2^17*g3^3*t^8.96)/g1^4 - t^4.16/(g1^2*g2^2*g3^2*y) - t^6.48/(g1^6*g2^6*g3^6*y) - t^6.76/(g1^9*g2^9*g3^2*y) + (g1^5*g2^5*t^7.56)/(g3^2*y) + (g1^2*g2^2*g3^2*t^7.84)/y + t^7.92/(g1^11*g2^11*g3^4*y) + (g1^3*g3^3*t^8.56)/(g2^4*y) + (g2^3*g3^3*t^8.56)/(g1^4*y) - t^8.8/(g1^10*g2^10*g3^10*y) + (g3^7*t^8.85)/(g1^7*y) + (g3^7*t^8.85)/(g2^7*y) - (t^4.16*y)/(g1^2*g2^2*g3^2) - (t^6.48*y)/(g1^6*g2^6*g3^6) - (t^6.76*y)/(g1^9*g2^9*g3^2) + (g1^5*g2^5*t^7.56*y)/g3^2 + g1^2*g2^2*g3^2*t^7.84*y + (t^7.92*y)/(g1^11*g2^11*g3^4) + (g1^3*g3^3*t^8.56*y)/g2^4 + (g2^3*g3^3*t^8.56*y)/g1^4 - (t^8.8*y)/(g1^10*g2^10*g3^10) + (g3^7*t^8.85*y)/g1^7 + (g3^7*t^8.85*y)/g2^7 |
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 |
|---|---|---|---|---|---|---|---|---|
| 65 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.6643 | 0.7825 | 0.849 | [X:[], M:[0.8927, 1.2048], q:[0.8012, 0.5537], qb:[0.5537, 0.501], phi:[0.3976]] | t^2.68 + 2*t^3.16 + t^3.61 + t^3.91 + 2*t^4.06 + t^4.2 + 2*t^4.36 + 3*t^4.51 + t^5.36 - 5*t^6. - t^4.19/y - t^4.19*y | detail | |
| 69 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ | 0.6924 | 0.8273 | 0.837 | [X:[], M:[0.8454, 0.8454], q:[0.8152, 0.6031], qb:[0.5515, 0.5515], phi:[0.3697]] | t^2.22 + 2*t^2.54 + t^3.31 + 2*t^4.1 + t^4.25 + 3*t^4.42 + t^4.44 + 2*t^4.57 + t^4.73 + 2*t^4.75 + 3*t^5.07 + t^5.53 - 5*t^6. - t^4.11/y - t^4.11*y | detail | |
| 68 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.8783, 0.9032], qb:[0.3917, 0.8535], phi:[0.2433]] | t^2.12 + t^3.08 + t^3.74 + t^3.81 + t^4.23 + t^4.54 + t^5.2 + t^5.85 - 2*t^6. - t^3.73/y - t^5.85/y - t^3.73*y - t^5.85*y | detail | |
| 45855 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1q_2^2$ | 0.628 | 0.7573 | 0.8293 | [X:[], M:[0.7035], q:[0.8228, 0.8228], qb:[0.4737, 0.4628], phi:[0.3545]] | t^2.11 + t^2.13 + t^2.81 + t^3.84 + 2*t^3.86 + t^3.87 + t^3.89 + t^3.91 + t^4.22 + t^4.24 + t^4.25 + t^4.92 + 2*t^4.94 + t^5.62 + t^5.95 + 2*t^5.97 + t^5.98 - t^6. - t^4.06/y - t^4.06*y | detail | |
| 64 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ | 0.6155 | 0.7629 | 0.8067 | [X:[], M:[1.1409], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]] | 2*t^2.46 + t^3. + 2*t^3.42 + 2*t^3.54 + t^3.85 + 2*t^3.96 + 3*t^4.08 + 3*t^4.92 + 2*t^5.46 + 2*t^5.88 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55796 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ \phi_1q_3^2$ + $ q_2\tilde{q}_1$ + $ M_1q_1\tilde{q}_2$ | 0.6817 | 0.8108 | 0.8408 | [X:[], M:[0.8681], q:[0.5659, 1.0474, 0.8067], qb:[0.9526, 0.5659, 0.515], phi:[0.3866]] | t^2.32 + t^2.6 + 2*t^3.24 + t^3.96 + 2*t^4.12 + t^4.25 + 2*t^4.4 + 3*t^4.56 + t^4.64 + t^4.92 + t^5.21 + 2*t^5.56 - 5*t^6. - t^4.16/y - t^4.16*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 37 | SU2adj1nf2 | $\phi_1q_1^2$ | 0.6732 | 0.8001 | 0.8414 | [X:[], M:[], q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]] | t^2.44 + 3*t^3.16 + 3*t^3.97 + 6*t^4.38 + t^4.87 + 3*t^5.59 - 9*t^6. - t^4.22/y - t^4.22*y | detail |