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 |
|---|---|---|---|---|---|---|---|---|---|
| 47868 | SU3adj1nf2 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ | 1.4552 | 1.6423 | 0.8861 | [X:[1.3428], M:[0.9491], q:[0.5255, 0.4888], qb:[0.5255, 0.4888], phi:[0.3286]] | [X:[[0, 0, 0, 2]], M:[[1, 0, 1, -6]], q:[[-1, -1, -1, 6], [1, 0, 0, 0]], qb:[[0, 1, 0, 0], [0, 0, 1, 0]], phi:[[0, 0, 0, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_2\tilde{q}_2$, $ \phi_1^3$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1q_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1^2q_2$, $ M_1^2$, $ M_1q_2\tilde{q}_2$, $ M_1\phi_1^3$, $ q_2^2\tilde{q}_2^2$, $ \phi_1^3q_2\tilde{q}_2$, $ \phi_1^6$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1^3q_1\tilde{q}_2$ | -2 | t^2.85 + t^2.93 + t^2.96 + 2*t^3.04 + t^3.92 + 3*t^4.03 + t^4.14 + t^4.9 + 2*t^5.01 + t^5.12 + 2*t^5.49 + 2*t^5.6 + t^5.69 + t^5.78 + t^5.8 + t^5.87 + t^5.89 + t^5.91 + 2*t^5.98 - 2*t^6. + 3*t^6.09 - 2*t^6.11 + 2*t^6.48 + 2*t^6.59 + t^6.77 + t^6.85 + 2*t^6.88 + 5*t^6.96 + t^6.99 + 7*t^7.07 - t^7.1 + 2*t^7.18 + 2*t^7.36 + 2*t^7.69 + t^7.75 + 2*t^7.84 + t^7.86 + 6*t^7.95 + t^7.97 + 9*t^8.06 - t^8.08 + 4*t^8.17 + t^8.28 + 2*t^8.43 - 2*t^8.45 + 7*t^8.54 - 4*t^8.56 + t^8.63 + 5*t^8.65 - 2*t^8.67 + t^8.71 + t^8.74 + t^8.76 + t^8.8 + 2*t^8.82 - 2*t^8.85 + t^8.87 + 2*t^8.91 + t^8.93 - t^8.96 + t^8.96/y^2 - t^3.99/y - t^4.97/y - t^6.83/y - t^6.92/y - t^6.94/y - (2*t^7.03)/y - t^7.82/y - t^7.9/y - t^7.93/y - (2*t^8.01)/y + t^8.78/y + t^8.8/y + (2*t^8.89)/y + (2*t^8.98)/y - t^3.99*y - t^4.97*y - t^6.83*y - t^6.92*y - t^6.94*y - 2*t^7.03*y - t^7.82*y - t^7.9*y - t^7.93*y - 2*t^8.01*y + t^8.78*y + t^8.8*y + 2*t^8.89*y + 2*t^8.98*y + t^8.96*y^2 | (g1*g3*t^2.85)/g4^6 + g1*g3*t^2.93 + t^2.96/g4^3 + g1*g2*t^3.04 + (g4^6*t^3.04)/(g1*g2) + (g1*g3*t^3.92)/g4 + (g1*g2*t^4.03)/g4 + g4^2*t^4.03 + (g4^5*t^4.03)/(g1*g2) + (g4^5*t^4.14)/(g1*g3) + (g1*g3*t^4.9)/g4^2 + (g1*g2*t^5.01)/g4^2 + (g4^4*t^5.01)/(g1*g2) + (g4^4*t^5.12)/(g1*g3) + (g2*g3^2*t^5.49)/g4 + (g1*g4^5*t^5.49)/(g2*g3) + (g2^2*g3*t^5.6)/g4 + (g4^11*t^5.6)/(g1*g2^2*g3^2) + (g1^2*g3^2*t^5.69)/g4^12 + (g1^2*g3^2*t^5.78)/g4^6 + (g1*g3*t^5.8)/g4^9 + g1^2*g3^2*t^5.87 + (g1*g3*t^5.89)/g4^3 + t^5.91/g4^6 + g1^2*g2*g3*t^5.98 + (g3*g4^6*t^5.98)/g2 - 4*t^6. + (g1*g2*t^6.)/g4^3 + (g4^3*t^6.)/(g1*g2) + g1^2*g2^2*t^6.09 + g4^6*t^6.09 + (g4^12*t^6.09)/(g1^2*g2^2) - (g2*t^6.11)/g3 - (g4^6*t^6.11)/(g1^2*g2*g3) + (g2*g3^2*t^6.48)/g4^2 + (g1*g4^4*t^6.48)/(g2*g3) + (g2^2*g3*t^6.59)/g4^2 + (g4^10*t^6.59)/(g1*g2^2*g3^2) + (g1^2*g3^2*t^6.77)/g4^7 + (g1^2*g3^2*t^6.85)/g4 + (2*g1*g3*t^6.88)/g4^4 + (2*g1^2*g2*g3*t^6.96)/g4 + g1*g3*g4^2*t^6.96 + (2*g3*g4^5*t^6.96)/g2 + (g1*g2*t^6.99)/g4^4 - t^6.99/g4 + (g4^2*t^6.99)/(g1*g2) + (g1^2*g2^2*t^7.07)/g4 + g1*g2*g4^2*t^7.07 + 3*g4^5*t^7.07 + (g4^8*t^7.07)/(g1*g2) + (g4^11*t^7.07)/(g1^2*g2^2) - (g2*t^7.1)/(g3*g4) + (g4^2*t^7.1)/(g1*g3) - (g4^5*t^7.1)/(g1^2*g2*g3) + (g2*g4^5*t^7.18)/g3 + (g4^11*t^7.18)/(g1^2*g2*g3) + (g1^3*t^7.36)/g4^3 + (g3^3*t^7.36)/g4^3 - (g1*g2^2*g3^2*t^7.47)/g4^6 + (g2*g3^2*t^7.47)/g4^3 + (g1*g4^3*t^7.47)/(g2*g3) - (g4^6*t^7.47)/(g2^2*g3) - (g2*g3*t^7.58)/g1 + (g2^2*g3*t^7.58)/g4^3 - (g4^6*t^7.58)/(g2*g3^2) + (g4^9*t^7.58)/(g1*g2^2*g3^2) + (g2^3*t^7.69)/g4^3 + (g4^15*t^7.69)/(g1^3*g2^3*g3^3) + (g1^2*g3^2*t^7.75)/g4^8 + (2*g1^2*g3^2*t^7.84)/g4^2 + (g1*g3*t^7.86)/g4^5 + (3*g1^2*g2*g3*t^7.95)/g4^2 + (3*g3*g4^4*t^7.95)/g2 + (g1*g2*t^7.97)/g4^5 - t^7.97/g4^2 + (g4*t^7.97)/(g1*g2) + (2*g1^2*g2^2*t^8.06)/g4^2 + 5*g4^4*t^8.06 + (2*g4^10*t^8.06)/(g1^2*g2^2) - (g2*t^8.08)/(g3*g4^2) + (g4*t^8.08)/(g1*g3) - (g4^4*t^8.08)/(g1^2*g2*g3) + (2*g2*g4^4*t^8.17)/g3 + (2*g4^10*t^8.17)/(g1^2*g2*g3) + (g4^10*t^8.28)/(g1^2*g3^2) + (g1*g2*g3^3*t^8.43)/g4 + (g1^2*g4^5*t^8.43)/g2 - (g1*g2^2*g3^2*t^8.45)/g4^7 + (g2*g3^2*t^8.45)/g4^4 - (g1^2*t^8.45)/(g3*g4) - (g3^2*t^8.45)/(g1*g4) + (g1*g4^2*t^8.45)/(g2*g3) - (g4^5*t^8.45)/(g2^2*g3) + (g1^3*g3^3*t^8.54)/g4^18 + (2*g1*g2^2*g3^2*t^8.54)/g4 + (g1^2*g4^5*t^8.54)/g3 + (g3^2*g4^5*t^8.54)/g1 + (2*g4^11*t^8.54)/(g2^2*g3) - (g1*g2^3*g3*t^8.56)/g4^7 + (g2^2*g3*t^8.56)/g4^4 - (2*g2*g3*t^8.56)/(g1*g4) - (2*g4^5*t^8.56)/(g2*g3^2) + (g4^8*t^8.56)/(g1*g2^2*g3^2) - (g4^11*t^8.56)/(g1^2*g2^3*g3^2) + (g1^3*g3^3*t^8.63)/g4^12 + (g1^2*g3^2*t^8.65)/g4^15 + (g1*g2^3*g3*t^8.65)/g4 + (g2*g3*g4^5*t^8.65)/g1 + (g4^11*t^8.65)/(g2*g3^2) + (g4^17*t^8.65)/(g1^2*g2^3*g3^2) - (g2^2*t^8.67)/(g1*g4) - (g4^11*t^8.67)/(g1^2*g2^2*g3^3) + (g1^3*g3^3*t^8.71)/g4^6 + (g1^2*g3^2*t^8.74)/g4^9 + (g1*g3*t^8.76)/g4^12 + g1^3*g3^3*t^8.8 + (2*g1^2*g3^2*t^8.82)/g4^3 - (2*g1*g3*t^8.85)/g4^6 + t^8.87/g4^9 + g1^3*g2*g3^2*t^8.91 + (g1*g3^2*g4^6*t^8.91)/g2 - 5*g1*g3*t^8.93 + (3*g1^2*g2*g3*t^8.93)/g4^3 + (3*g3*g4^3*t^8.93)/g2 + t^8.96/(g1*g2) + (g1*g2*t^8.96)/g4^6 - (3*t^8.96)/g4^3 + t^8.96/(g4^3*y^2) - t^3.99/(g4*y) - t^4.97/(g4^2*y) - (g1*g3*t^6.83)/(g4^7*y) - (g1*g3*t^6.92)/(g4*y) - t^6.94/(g4^4*y) - (g1*g2*t^7.03)/(g4*y) - (g4^5*t^7.03)/(g1*g2*y) - (g1*g3*t^7.82)/(g4^8*y) - (g1*g3*t^7.9)/(g4^2*y) - t^7.93/(g4^5*y) - (g1*g2*t^8.01)/(g4^2*y) - (g4^4*t^8.01)/(g1*g2*y) + (g1^2*g3^2*t^8.78)/(g4^6*y) + (g1*g3*t^8.8)/(g4^9*y) + (g3*t^8.89)/(g2*y) + (g1^2*g2*g3*t^8.89)/(g4^6*y) + (g1^2*g2*g3*t^8.98)/y + (g3*g4^6*t^8.98)/(g2*y) - (t^3.99*y)/g4 - (t^4.97*y)/g4^2 - (g1*g3*t^6.83*y)/g4^7 - (g1*g3*t^6.92*y)/g4 - (t^6.94*y)/g4^4 - (g1*g2*t^7.03*y)/g4 - (g4^5*t^7.03*y)/(g1*g2) - (g1*g3*t^7.82*y)/g4^8 - (g1*g3*t^7.9*y)/g4^2 - (t^7.93*y)/g4^5 - (g1*g2*t^8.01*y)/g4^2 - (g4^4*t^8.01*y)/(g1*g2) + (g1^2*g3^2*t^8.78*y)/g4^6 + (g1*g3*t^8.8*y)/g4^9 + (g3*t^8.89*y)/g2 + (g1^2*g2*g3*t^8.89*y)/g4^6 + g1^2*g2*g3*t^8.98*y + (g3*g4^6*t^8.98*y)/g2 + (t^8.96*y^2)/g4^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47951 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_1\phi_1^3$ | 1.4539 | 1.6446 | 0.884 | [X:[1.3264], M:[0.9896], q:[0.5052, 0.4845], qb:[0.5052, 0.4845], phi:[0.3368]] | t^2.91 + 3*t^2.97 + t^3.03 + t^3.92 + 3*t^3.98 + t^4.04 + t^4.93 + 2*t^4.99 + t^5.05 + 2*t^5.43 + 2*t^5.49 + t^5.81 + 3*t^5.88 + 5*t^5.94 - t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail | |
| 47901 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_1q_2\tilde{q}_2$ | 1.4535 | 1.6383 | 0.8872 | [X:[1.3429], M:[0.9857], q:[0.5072, 0.5072], qb:[0.5072, 0.5072], phi:[0.3286]] | 2*t^2.96 + 3*t^3.04 + 5*t^4.03 + 4*t^5.01 + 4*t^5.55 + 3*t^5.91 - 2*t^6. - t^3.99/y - t^4.97/y - t^3.99*y - t^4.97*y | detail | |
| 47893 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_2\phi_1q_2\tilde{q}_2$ | 1.4759 | 1.6818 | 0.8776 | [X:[1.3444], M:[0.9513, 0.6879], q:[0.5244, 0.4922], qb:[0.5244, 0.4922], phi:[0.3278]] | t^2.06 + t^2.85 + 2*t^2.95 + 2*t^3.05 + 3*t^4.03 + 2*t^4.13 + 2*t^4.92 + t^5.01 + 3*t^5.02 + 3*t^5.11 + 2*t^5.51 + 2*t^5.61 + t^5.71 + t^5.8 + t^5.81 + 2*t^5.9 + t^5.91 - t^3.98/y - t^4.97/y - t^3.98*y - t^4.97*y | detail | |
| 47954 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_2\phi_1^3$ | 1.4552 | 1.6484 | 0.8828 | [X:[1.3241], M:[0.9774, 0.9862], q:[0.5113, 0.4749], qb:[0.5113, 0.4749], phi:[0.3379]] | t^2.85 + t^2.93 + 3*t^2.96 + t^3.86 + 3*t^3.97 + t^4.08 + t^4.88 + 2*t^4.99 + t^5.1 + 2*t^5.4 + 2*t^5.51 + t^5.7 + t^5.78 + 3*t^5.81 + t^5.86 + t^5.89 + 6*t^5.92 - 4*t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail | |
| 47913 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_2q_2\tilde{q}_1$ | 1.4595 | 1.6464 | 0.8865 | [X:[1.3609], M:[0.922, 0.922], q:[0.52, 0.52], qb:[0.558, 0.4848], phi:[0.3195]] | 2*t^2.77 + t^2.88 + 2*t^3.01 + 2*t^3.97 + t^4.08 + 2*t^4.19 + 2*t^4.93 + 2*t^5.15 + 3*t^5.53 + t^5.54 + 4*t^5.64 + t^5.75 + t^5.76 + 3*t^5.78 + 2*t^5.89 - 6*t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*y | detail | |
| 47885 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_2q_2\tilde{q}_2$ | 1.4561 | 1.6383 | 0.8888 | [X:[1.3617], M:[0.9574, 0.9574], q:[0.5213, 0.5213], qb:[0.5213, 0.5213], phi:[0.3191]] | 3*t^2.87 + 2*t^3.13 + 5*t^4.09 + 4*t^5.04 + 4*t^5.65 + 6*t^5.74 - 2*t^6. - t^3.96/y - t^4.91/y - t^3.96*y - t^4.91*y | detail | |
| 47942 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1q_2\tilde{q}_1$ | 1.1311 | 1.2662 | 0.8933 | [X:[1.5234], M:[0.6981], q:[0.407, 0.8669], qb:[0.8948, 0.4015], phi:[0.2383]] | t^2.09 + t^2.14 + t^2.43 + t^3.14 + t^3.81 + t^3.86 + t^4.19 + t^4.24 + t^4.29 + t^4.52 + 2*t^4.57 + t^4.85 + t^5.23 + 2*t^5.29 + t^5.57 + 2*t^5.76 + 2*t^5.81 + t^5.9 + t^5.95 - 2*t^6. - t^3.71/y - t^4.43/y - t^5.81/y - t^5.86/y - t^3.71*y - t^4.43*y - t^5.81*y - t^5.86*y | detail | |
| 47939 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2^2$ | 1.446 | 1.6242 | 0.8903 | [X:[1.3694], M:[0.9321], q:[0.5113, 0.4763], qb:[0.5565, 0.5641], phi:[0.3153]] | t^2.8 + t^2.84 + t^3.1 + t^3.12 + t^3.23 + t^4.04 + t^4.07 + t^4.11 + t^4.15 + t^4.17 + t^4.99 + t^5.01 + t^5.1 + t^5.12 + t^5.34 + t^5.44 + t^5.59 + t^5.63 + t^5.68 + t^5.92 + t^5.94 + t^5.96 - 3*t^6. - t^3.95/y - t^4.89/y - t^3.95*y - t^4.89*y | detail | |
| 47897 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2$ | 1.4497 | 1.6322 | 0.8882 | [X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]] | t^2.71 + t^2.87 + t^2.97 + t^3.07 + t^3.19 + t^3.93 + t^4.03 + t^4.09 + t^4.15 + t^4.25 + t^4.88 + t^4.98 + t^5.1 + t^5.2 + t^5.37 + t^5.41 + t^5.47 + t^5.57 + t^5.68 + t^5.73 + t^5.78 + t^5.84 + 2*t^5.94 - 3*t^6. - t^3.96/y - t^4.91/y - t^3.96*y - t^4.91*y | detail | |
| 47931 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1^2q_2\tilde{q}_1$ | 1.3411 | 1.5094 | 0.8885 | [X:[1.4098], M:[0.848], q:[0.4222, 0.68], qb:[0.7297, 0.3974], phi:[0.2951]] | t^2.46 + t^2.54 + t^2.66 + t^3.23 + t^3.34 + t^4.12 + 3*t^4.23 + t^4.34 + t^4.92 + t^5. + t^5.09 + 2*t^5.11 + t^5.2 + t^5.31 + 2*t^5.46 + t^5.69 + t^5.78 + t^5.8 + t^5.89 - 2*t^6. - t^3.89/y - t^4.77/y - t^3.89*y - t^4.77*y | detail | |
| 47884 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1^2q_2\tilde{q}_2$ | 1.314 | 1.4609 | 0.8994 | [X:[1.4124], M:[1.1752], q:[0.4124, 0.7062], qb:[0.4124, 0.7062], phi:[0.2938]] | t^2.64 + 3*t^3.36 + t^3.53 + 5*t^4.24 + t^5.12 + t^5.29 + 2*t^5.47 - 2*t^6. - t^3.88/y - t^4.76/y - t^3.88*y - t^4.76*y | detail | |
| 47889 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1^6$ | 1.4548 | 1.6446 | 0.8846 | [X:[1.3333], M:[0.9634], q:[0.5183, 0.4817], qb:[0.5183, 0.4817], phi:[0.3333]] | 2*t^2.89 + 3*t^3. + t^3.89 + 3*t^4. + t^4.11 + t^4.89 + 2*t^5. + t^5.11 + 2*t^5.45 + 2*t^5.55 + 3*t^5.78 + 4*t^5.89 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47866 | SU3adj1nf2 | . | 1.4743 | 1.6854 | 0.8748 | [X:[], M:[], q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]] | t^2.03 + 4*t^2.96 + t^3.04 + 4*t^3.97 + t^4.05 + 8*t^4.99 + t^5.07 + 4*t^5.45 + 10*t^5.92 - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail |