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 |
|---|---|---|---|---|---|---|---|---|---|
| 46578 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6442 | 0.847 | 0.7605 | [X:[], M:[0.719, 0.7359, 1.0, 0.737, 1.0181], q:[0.7545, 0.5265], qb:[0.5096, 0.2455], phi:[0.491]] | [X:[], M:[[1, 9], [-1, 1], [0, 0], [1, 5], [0, -4]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_1M_4$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_4\phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_1M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_2^3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_2^4$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $M_5\phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | -1 | t^2.16 + 2*t^2.21 + t^2.27 + t^2.32 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.74 + t^4.31 + t^4.36 + t^4.37 + 4*t^4.42 + 2*t^4.47 + t^4.48 + t^4.52 + 3*t^4.53 + 2*t^4.58 + 2*t^4.63 + t^5.1 + t^5.15 + t^5.16 + 3*t^5.21 + 2*t^5.26 + 3*t^5.27 + 4*t^5.32 + 2*t^5.37 + t^5.42 + 2*t^5.89 + t^5.95 - t^6. + t^6.05 + t^6.11 + t^6.16 + t^6.22 + t^6.47 + 2*t^6.52 + t^6.57 + 3*t^6.58 + t^6.62 + 5*t^6.63 + 3*t^6.68 + 3*t^6.69 + t^6.73 + 6*t^6.74 + 3*t^6.79 + 2*t^6.8 + 2*t^6.84 + 3*t^6.85 + 2*t^6.9 + 2*t^6.95 + t^7.26 + 2*t^7.31 + t^7.36 + 3*t^7.37 + 6*t^7.42 + 3*t^7.47 + 6*t^7.48 + 7*t^7.53 + 7*t^7.58 + 2*t^7.63 + 4*t^7.64 + 3*t^7.69 + 2*t^7.74 + 2*t^8.05 + 2*t^8.1 - t^8.16 - 3*t^8.21 - t^8.26 - t^8.32 + 3*t^8.37 + t^8.42 + 2*t^8.43 + 2*t^8.48 + t^8.53 + t^8.63 + 2*t^8.68 + 2*t^8.73 + 2*t^8.74 + 2*t^8.78 + 4*t^8.79 + 2*t^8.83 + 9*t^8.84 + 5*t^8.89 + 3*t^8.9 + 2*t^8.94 + 6*t^8.95 - t^4.47/y - t^6.63/y - (2*t^6.68)/y + t^7.36/y + t^7.37/y + (2*t^7.42)/y + (2*t^7.47)/y + t^7.48/y + t^7.52/y + t^7.53/y + t^7.58/y + t^8.1/y + t^8.15/y + (2*t^8.16)/y + (4*t^8.21)/y + (3*t^8.26)/y + (4*t^8.27)/y + (5*t^8.32)/y + (2*t^8.37)/y + t^8.42/y - t^8.79/y - (2*t^8.84)/y - (2*t^8.89)/y + (3*t^8.95)/y - t^4.47*y - t^6.63*y - 2*t^6.68*y + t^7.36*y + t^7.37*y + 2*t^7.42*y + 2*t^7.47*y + t^7.48*y + t^7.52*y + t^7.53*y + t^7.58*y + t^8.1*y + t^8.15*y + 2*t^8.16*y + 4*t^8.21*y + 3*t^8.26*y + 4*t^8.27*y + 5*t^8.32*y + 2*t^8.37*y + t^8.42*y - t^8.79*y - 2*t^8.84*y - 2*t^8.89*y + 3*t^8.95*y | g1*g2^9*t^2.16 + (g2*t^2.21)/g1 + g1*g2^5*t^2.21 + g1*g2*t^2.27 + t^2.32/(g1*g2^7) + g2^4*t^2.95 + t^3. + t^3.05/g2^4 + t^3.11/g2^8 + g1*g2^3*t^3.74 + g1^2*g2^18*t^4.31 + g2^10*t^4.36 + g1^2*g2^14*t^4.37 + (g2^2*t^4.42)/g1^2 + g2^6*t^4.42 + 2*g1^2*g2^10*t^4.42 + 2*g2^2*t^4.47 + g1^2*g2^6*t^4.48 + t^4.52/(g1^2*g2^6) + t^4.53/g2^2 + 2*g1^2*g2^2*t^4.53 + (2*t^4.58)/g2^6 + (2*t^4.63)/(g1^2*g2^14) + g1*g2^13*t^5.1 + (g2^5*t^5.15)/g1 + g1*g2^9*t^5.16 + 3*g1*g2^5*t^5.21 + (2*t^5.26)/(g1*g2^3) + 3*g1*g2*t^5.27 + (2*t^5.32)/(g1*g2^7) + (2*g1*t^5.32)/g2^3 + t^5.37/(g1*g2^11) + (g1*t^5.37)/g2^7 + t^5.42/(g1*g2^15) + g2^8*t^5.89 + g1^2*g2^12*t^5.89 + g2^4*t^5.95 - 2*t^6. + g1^2*g2^4*t^6. - t^6.05/(g1^2*g2^8) + (2*t^6.05)/g2^4 + t^6.11/g2^8 + t^6.16/g2^12 + t^6.22/g2^16 + g1^3*g2^27*t^6.47 + g1*g2^19*t^6.52 + g1^3*g2^23*t^6.52 + (g2^11*t^6.57)/g1 + g1*g2^15*t^6.58 + 2*g1^3*g2^19*t^6.58 + (g2^3*t^6.62)/g1^3 + (g2^7*t^6.63)/g1 + 2*g1*g2^11*t^6.63 + 2*g1^3*g2^15*t^6.63 + (g2^3*t^6.68)/g1 + 2*g1*g2^7*t^6.68 + 3*g1^3*g2^11*t^6.69 + t^6.73/(g1^3*g2^5) + 4*g1*g2^3*t^6.74 + 2*g1^3*g2^7*t^6.74 + (2*t^6.79)/(g1*g2^5) + (g1*t^6.79)/g2 + 2*g1^3*g2^3*t^6.8 + (2*t^6.84)/(g1^3*g2^13) + (3*g1*t^6.85)/g2^5 + (2*t^6.9)/(g1*g2^13) + (2*t^6.95)/(g1^3*g2^21) + g1^2*g2^22*t^7.26 + g2^14*t^7.31 + g1^2*g2^18*t^7.31 + (g2^6*t^7.36)/g1^2 + 3*g1^2*g2^14*t^7.37 + 3*g2^6*t^7.42 + 3*g1^2*g2^10*t^7.42 + (2*t^7.47)/(g1^2*g2^2) + g2^2*t^7.47 + 6*g1^2*g2^6*t^7.48 + (3*t^7.53)/g2^2 + 4*g1^2*g2^2*t^7.53 + (2*t^7.58)/(g1^2*g2^10) + (3*t^7.58)/g2^6 + (2*g1^2*t^7.58)/g2^2 + (2*t^7.63)/(g1^2*g2^14) + (2*t^7.64)/g2^10 + (2*g1^2*t^7.64)/g2^6 + t^7.69/(g1^2*g2^18) + (2*t^7.69)/g2^14 + (2*t^7.74)/(g1^2*g2^22) + g1*g2^17*t^8.05 + g1^3*g2^21*t^8.05 + (g2^9*t^8.1)/g1 + g1*g2^13*t^8.1 - 2*g1*g2^9*t^8.16 + g1^3*g2^13*t^8.16 - (3*g2*t^8.21)/g1 - t^8.26/(g1^3*g2^7) - 2*g1*g2*t^8.27 + 2*g1^3*g2^5*t^8.27 - (4*t^8.32)/(g1*g2^7) + (3*g1*t^8.32)/g2^3 - t^8.37/(g1^3*g2^15) + (2*t^8.37)/(g1*g2^11) + (2*g1*t^8.37)/g2^7 + t^8.42/(g1*g2^15) + (2*g1*t^8.43)/g2^11 + t^8.48/(g1*g2^19) + (g1*t^8.48)/g2^15 + t^8.53/(g1*g2^23) + g1^4*g2^36*t^8.63 + g1^2*g2^28*t^8.68 + g1^4*g2^32*t^8.68 + g2^20*t^8.73 + g1^2*g2^24*t^8.73 + 2*g1^4*g2^28*t^8.74 + (g2^12*t^8.78)/g1^2 + g2^16*t^8.78 + 2*g1^2*g2^20*t^8.79 + 2*g1^4*g2^24*t^8.79 + (g2^4*t^8.83)/g1^4 + (g2^8*t^8.83)/g1^2 + 2*g2^12*t^8.84 + 3*g1^2*g2^16*t^8.84 + 4*g1^4*g2^20*t^8.84 + (g2^4*t^8.89)/g1^2 + g2^8*t^8.89 + 3*g1^2*g2^12*t^8.89 + 3*g1^4*g2^16*t^8.9 + t^8.94/g1^2 + t^8.94/(g1^4*g2^4) - g2^4*t^8.95 + 3*g1^2*g2^8*t^8.95 + 4*g1^4*g2^12*t^8.95 - (g2^2*t^4.47)/y - (g1*g2^11*t^6.63)/y - (g2^3*t^6.68)/(g1*y) - (g1*g2^7*t^6.68)/y + (g2^10*t^7.36)/y + (g1^2*g2^14*t^7.37)/y + (g2^6*t^7.42)/y + (g1^2*g2^10*t^7.42)/y + (2*g2^2*t^7.47)/y + (g1^2*g2^6*t^7.48)/y + t^7.52/(g1^2*g2^6*y) + t^7.53/(g2^2*y) + t^7.58/(g2^6*y) + (g1*g2^13*t^8.1)/y + (g2^5*t^8.15)/(g1*y) + (2*g1*g2^9*t^8.16)/y + (g2*t^8.21)/(g1*y) + (3*g1*g2^5*t^8.21)/y + (3*t^8.26)/(g1*g2^3*y) + (4*g1*g2*t^8.27)/y + (3*t^8.32)/(g1*g2^7*y) + (2*g1*t^8.32)/(g2^3*y) + t^8.37/(g1*g2^11*y) + (g1*t^8.37)/(g2^7*y) + t^8.42/(g1*g2^15*y) - (g1^2*g2^20*t^8.79)/y - (g2^12*t^8.84)/y - (g1^2*g2^16*t^8.84)/y - (g2^4*t^8.89)/(g1^2*y) - (g2^8*t^8.89)/y + (2*g2^4*t^8.95)/y + (g1^2*g2^8*t^8.95)/y - g2^2*t^4.47*y - g1*g2^11*t^6.63*y - (g2^3*t^6.68*y)/g1 - g1*g2^7*t^6.68*y + g2^10*t^7.36*y + g1^2*g2^14*t^7.37*y + g2^6*t^7.42*y + g1^2*g2^10*t^7.42*y + 2*g2^2*t^7.47*y + g1^2*g2^6*t^7.48*y + (t^7.52*y)/(g1^2*g2^6) + (t^7.53*y)/g2^2 + (t^7.58*y)/g2^6 + g1*g2^13*t^8.1*y + (g2^5*t^8.15*y)/g1 + 2*g1*g2^9*t^8.16*y + (g2*t^8.21*y)/g1 + 3*g1*g2^5*t^8.21*y + (3*t^8.26*y)/(g1*g2^3) + 4*g1*g2*t^8.27*y + (3*t^8.32*y)/(g1*g2^7) + (2*g1*t^8.32*y)/g2^3 + (t^8.37*y)/(g1*g2^11) + (g1*t^8.37*y)/g2^7 + (t^8.42*y)/(g1*g2^15) - g1^2*g2^20*t^8.79*y - g2^12*t^8.84*y - g1^2*g2^16*t^8.84*y - (g2^4*t^8.89*y)/g1^2 - g2^8*t^8.89*y + 2*g2^4*t^8.95*y + g1^2*g2^8*t^8.95*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 46859 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6504 | 0.8579 | 0.7582 | [X:[], M:[0.6808, 0.6965, 1.0, 0.7299, 1.0491, 0.9019], q:[0.7623, 0.5569], qb:[0.5412, 0.2377], phi:[0.4755]] | t^2.04 + t^2.09 + t^2.19 + t^2.34 + t^2.38 + t^2.71 + t^2.85 + t^3. + t^3.15 + t^3.76 + t^4.08 + t^4.13 + t^4.18 + t^4.23 + t^4.28 + 2*t^4.38 + 2*t^4.43 + t^4.47 + t^4.53 + t^4.57 + 2*t^4.67 + 2*t^4.72 + t^4.75 + 2*t^4.77 + t^4.8 + 2*t^4.9 + t^4.94 + 2*t^5.04 + t^5.09 + 3*t^5.19 + 2*t^5.24 + 2*t^5.34 + t^5.38 + t^5.41 + t^5.48 + t^5.53 + t^5.56 + 2*t^5.71 + t^5.81 + 2*t^5.85 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 46877 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ | 0.6104 | 0.7846 | 0.778 | [X:[1.377], M:[0.6719, 0.623, 1.0, 0.7539, 1.082], q:[0.7705, 0.5576], qb:[0.6065, 0.2295], phi:[0.459]] | t^2.02 + t^2.26 + t^2.36 + t^2.51 + t^2.75 + t^3. + t^3.25 + t^3.49 + t^3.88 + t^4.03 + t^4.13 + t^4.28 + t^4.38 + 2*t^4.52 + t^4.62 + 2*t^4.72 + 2*t^4.77 + t^4.87 + 3*t^5.02 + t^5.12 + 3*t^5.26 + t^5.36 + 4*t^5.51 + t^5.61 + 2*t^5.75 + t^5.9 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 47087 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.6123 | 0.7902 | 0.7749 | [X:[1.384], M:[0.616, 0.6908, 1.0, 0.6933, 1.0773], q:[0.7693, 0.6147], qb:[0.5399, 0.2307], phi:[0.4613]] | t^2.07 + t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.7 + t^4.14 + 2*t^4.15 + t^4.16 + t^4.38 + t^4.39 + t^4.61 + 3*t^4.62 + t^4.84 + 2*t^4.85 + 2*t^5.07 + 2*t^5.08 + 2*t^5.3 + 2*t^5.31 + 5*t^5.54 + 2*t^5.77 + t^5.78 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46157 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6466 | 0.8508 | 0.76 | [X:[], M:[0.6983, 0.7146, 1.0, 0.7331], q:[0.7587, 0.543], qb:[0.5267, 0.2413], phi:[0.4826]] | t^2.09 + t^2.14 + t^2.2 + t^2.3 + t^2.35 + 2*t^2.9 + t^3. + t^3.21 + t^3.75 + t^4.19 + t^4.24 + 2*t^4.29 + t^4.34 + 2*t^4.4 + 2*t^4.45 + 2*t^4.5 + t^4.55 + 2*t^4.61 + 2*t^4.66 + 2*t^4.71 + 2*t^4.99 + 2*t^5.04 + 2*t^5.09 + 3*t^5.2 + 2*t^5.25 + 2*t^5.3 + 2*t^5.35 + t^5.41 + t^5.51 + t^5.56 + 3*t^5.79 + t^5.85 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*y | detail |