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 |
|---|---|---|---|---|---|---|---|---|---|
| 1357 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_2$ | 0.6513 | 0.815 | 0.7992 | [X:[1.5729], M:[0.4271, 1.191, 0.7864, 0.8542, 0.7187, 0.8542], q:[0.7977, 0.7752], qb:[0.4384, 0.3706], phi:[0.4045]] | [X:[[12]], M:[[-12], [4], [6], [-24], [36], [-24]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_6$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_5q_1\tilde{q}_2$, $ M_2M_5$, $ \phi_1q_2^2$, $ M_5q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ \phi_1^2q_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | t^2.16 + t^2.36 + t^2.43 + 2*t^2.56 + t^3.51 + t^3.57 + t^3.64 + t^3.71 + t^4.31 + t^4.52 + t^4.58 + t^4.65 + 4*t^4.72 + 2*t^4.85 + 2*t^4.92 + t^4.99 + 3*t^5.13 + t^5.66 + t^5.73 + 3*t^5.86 + t^5.93 - 2*t^6. + 3*t^6.07 + 2*t^6.14 + 2*t^6.27 + t^6.47 + t^6.67 + t^6.74 + t^6.81 + 4*t^6.87 + t^7.01 + 4*t^7.08 + t^7.15 + t^7.21 + 8*t^7.28 + 2*t^7.42 + 3*t^7.48 + t^7.55 + 4*t^7.69 + t^7.82 + t^7.89 + 3*t^8.02 + t^8.09 - 3*t^8.16 + 4*t^8.22 + 2*t^8.29 - 3*t^8.36 + 4*t^8.43 + t^8.49 - 6*t^8.56 + t^8.62 + 3*t^8.63 + 2*t^8.7 - t^8.77 + 4*t^8.83 + t^8.9 + t^8.96 - t^4.21/y - t^6.37/y - t^6.57/y - (2*t^6.78)/y + t^7.52/y + t^7.58/y + (2*t^7.65)/y + (2*t^7.72)/y + t^7.79/y + t^7.85/y + (2*t^7.92)/y + (2*t^7.99)/y + t^8.06/y + t^8.13/y - t^8.53/y + t^8.66/y + t^8.8/y + (2*t^8.86)/y - t^8.93/y - t^4.21*y - t^6.37*y - t^6.57*y - 2*t^6.78*y + t^7.52*y + t^7.58*y + 2*t^7.65*y + 2*t^7.72*y + t^7.79*y + t^7.85*y + 2*t^7.92*y + 2*t^7.99*y + t^8.06*y + t^8.13*y - t^8.53*y + t^8.66*y + t^8.8*y + 2*t^8.86*y - t^8.93*y | g1^36*t^2.16 + g1^6*t^2.36 + t^2.43/g1^4 + (2*t^2.56)/g1^24 + g1^14*t^3.51 + g1^4*t^3.57 + t^3.64/g1^6 + t^3.71/g1^16 + g1^72*t^4.31 + g1^42*t^4.52 + g1^32*t^4.58 + g1^22*t^4.65 + 4*g1^12*t^4.72 + (2*t^4.85)/g1^8 + (2*t^4.92)/g1^18 + t^4.99/g1^28 + (3*t^5.13)/g1^48 + g1^50*t^5.66 + g1^40*t^5.73 + 3*g1^20*t^5.86 + g1^10*t^5.93 - 2*t^6. + (3*t^6.07)/g1^10 + (2*t^6.14)/g1^20 + (2*t^6.27)/g1^40 + g1^108*t^6.47 + g1^78*t^6.67 + g1^68*t^6.74 + g1^58*t^6.81 + 4*g1^48*t^6.87 + g1^28*t^7.01 + 4*g1^18*t^7.08 + g1^8*t^7.15 + t^7.21/g1^2 + (8*t^7.28)/g1^12 + (2*t^7.42)/g1^32 + (3*t^7.48)/g1^42 + t^7.55/g1^52 + (4*t^7.69)/g1^72 + g1^86*t^7.82 + g1^76*t^7.89 + 3*g1^56*t^8.02 + g1^46*t^8.09 - 3*g1^36*t^8.16 + 4*g1^26*t^8.22 + 2*g1^16*t^8.29 - 3*g1^6*t^8.36 + (4*t^8.43)/g1^4 + t^8.49/g1^14 - (6*t^8.56)/g1^24 + g1^144*t^8.62 + (3*t^8.63)/g1^34 + (2*t^8.7)/g1^44 - t^8.77/g1^54 + (3*t^8.83)/g1^64 + g1^114*t^8.83 + g1^104*t^8.9 + g1^94*t^8.96 - t^4.21/(g1^2*y) - (g1^34*t^6.37)/y - (g1^4*t^6.57)/y - (2*t^6.78)/(g1^26*y) + (g1^42*t^7.52)/y + (g1^32*t^7.58)/y + (2*g1^22*t^7.65)/y + (2*g1^12*t^7.72)/y + (g1^2*t^7.79)/y + t^7.85/(g1^8*y) + (2*t^7.92)/(g1^18*y) + (2*t^7.99)/(g1^28*y) + t^8.06/(g1^38*y) + t^8.13/(g1^48*y) - (g1^70*t^8.53)/y + (g1^50*t^8.66)/y + (g1^30*t^8.8)/y + (2*g1^20*t^8.86)/y - (g1^10*t^8.93)/y - (t^4.21*y)/g1^2 - g1^34*t^6.37*y - g1^4*t^6.57*y - (2*t^6.78*y)/g1^26 + g1^42*t^7.52*y + g1^32*t^7.58*y + 2*g1^22*t^7.65*y + 2*g1^12*t^7.72*y + g1^2*t^7.79*y + (t^7.85*y)/g1^8 + (2*t^7.92*y)/g1^18 + (2*t^7.99*y)/g1^28 + (t^8.06*y)/g1^38 + (t^8.13*y)/g1^48 - g1^70*t^8.53*y + g1^50*t^8.66*y + g1^30*t^8.8*y + 2*g1^20*t^8.86*y - g1^10*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 2418 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_2$ + $ M_2M_7$ | 0.6673 | 0.8428 | 0.7917 | [X:[1.5745], M:[0.4255, 1.1915, 0.7872, 0.8511, 0.7234, 0.8511, 0.8085], q:[0.7979, 0.7766], qb:[0.4362, 0.3723], phi:[0.4043]] | t^2.17 + t^2.36 + 2*t^2.43 + 2*t^2.55 + t^3.51 + t^3.64 + t^3.7 + t^4.34 + t^4.53 + 2*t^4.6 + t^4.66 + 4*t^4.72 + t^4.79 + 4*t^4.85 + 2*t^4.91 + 3*t^4.98 + 3*t^5.11 + t^5.68 + 3*t^5.87 + t^5.94 - 3*t^6. - t^4.21/y - t^4.21*y | detail | |
| 2420 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6699 | 0.8489 | 0.7892 | [X:[1.5685], M:[0.4315, 1.1895, 0.7842, 0.8631, 0.7054, 0.8631, 0.758], q:[0.7974, 0.7711], qb:[0.4447, 0.3658], phi:[0.4053]] | t^2.12 + t^2.27 + t^2.35 + t^2.43 + 2*t^2.59 + t^3.49 + t^3.57 + t^3.65 + t^4.23 + t^4.39 + t^4.47 + 2*t^4.55 + 2*t^4.63 + 5*t^4.71 + 4*t^4.86 + 2*t^4.94 + t^5.02 + 3*t^5.18 + t^5.61 + t^5.68 + t^5.76 + 3*t^5.84 + 2*t^5.92 - 2*t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 864 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6395 | 0.796 | 0.8033 | [X:[1.5608], M:[0.4392, 1.1869, 0.7804, 0.8784, 0.6823], q:[0.7967, 0.7641], qb:[0.4556, 0.3575], phi:[0.4065]] | t^2.05 + t^2.34 + t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.56 + t^3.66 + t^3.76 + t^4.09 + t^4.39 + t^4.49 + t^4.58 + 3*t^4.68 + 2*t^4.88 + t^4.98 + t^5.27 + t^5.41 + t^5.51 + t^5.61 + t^5.71 + 4*t^5.8 + t^5.9 - t^6. - t^4.22/y - t^4.22*y | detail |