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 |
|---|---|---|---|---|---|---|---|---|---|
| 862 | 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_2M_5$ | 0.6345 | 0.7831 | 0.8102 | [X:[1.5667], M:[0.4333, 1.1889, 0.7834, 0.8665, 0.8111], q:[0.7972, 0.7695], qb:[0.4471, 0.364], phi:[0.4055]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | t^2.35 + 2*t^2.43 + t^2.6 + t^3.4 + t^3.48 + t^3.65 + t^3.73 + t^3.9 + t^4.62 + 2*t^4.7 + t^4.78 + 4*t^4.87 + t^4.95 + t^5.03 + t^5.2 + 4*t^5.83 + t^5.92 - 2*t^6. + 3*t^6.08 + t^6.17 + 3*t^6.33 + t^6.5 + t^6.8 + t^6.88 - t^6.97 + 3*t^7.05 + 2*t^7.13 + 7*t^7.3 + 2*t^7.38 + t^7.47 + 2*t^7.55 + 2*t^7.63 + 2*t^7.8 + t^8.02 + t^8.1 + 4*t^8.27 - 4*t^8.43 + 3*t^8.52 + 4*t^8.77 + 2*t^8.93 - t^4.22/y - t^6.57/y - t^6.65/y - t^6.82/y + t^7.62/y + (3*t^7.78)/y + (2*t^7.87)/y + t^7.95/y + (2*t^8.03)/y + t^8.75/y + (3*t^8.83)/y + t^8.92/y - t^4.22*y - t^6.57*y - t^6.65*y - t^6.82*y + t^7.62*y + 3*t^7.78*y + 2*t^7.87*y + t^7.95*y + 2*t^8.03*y + t^8.75*y + 3*t^8.83*y + t^8.92*y | g1^6*t^2.35 + (2*t^2.43)/g1^4 + t^2.6/g1^24 + g1^24*t^3.4 + g1^14*t^3.48 + t^3.65/g1^6 + t^3.73/g1^16 + t^3.9/g1^36 + g1^22*t^4.62 + 2*g1^12*t^4.7 + g1^2*t^4.78 + (4*t^4.87)/g1^8 + t^4.95/g1^18 + t^5.03/g1^28 + t^5.2/g1^48 + 4*g1^20*t^5.83 + g1^10*t^5.92 - 2*t^6. + (3*t^6.08)/g1^10 + t^6.17/g1^20 + (3*t^6.33)/g1^40 + t^6.5/g1^60 + g1^48*t^6.8 + g1^38*t^6.88 - g1^28*t^6.97 + 3*g1^18*t^7.05 + 2*g1^8*t^7.13 + (7*t^7.3)/g1^12 + (2*t^7.38)/g1^22 + t^7.47/g1^32 + (2*t^7.55)/g1^42 + (2*t^7.63)/g1^52 + (2*t^7.8)/g1^72 + g1^46*t^8.02 + g1^36*t^8.1 + 4*g1^16*t^8.27 - (4*t^8.43)/g1^4 + (3*t^8.52)/g1^14 + (4*t^8.77)/g1^44 + (2*t^8.93)/g1^64 - t^4.22/(g1^2*y) - (g1^4*t^6.57)/y - t^6.65/(g1^6*y) - t^6.82/(g1^26*y) + (g1^22*t^7.62)/y + (3*g1^2*t^7.78)/y + (2*t^7.87)/(g1^8*y) + t^7.95/(g1^18*y) + (2*t^8.03)/(g1^28*y) + (g1^30*t^8.75)/y + (3*g1^20*t^8.83)/y + (g1^10*t^8.92)/y - (t^4.22*y)/g1^2 - g1^4*t^6.57*y - (t^6.65*y)/g1^6 - (t^6.82*y)/g1^26 + g1^22*t^7.62*y + 3*g1^2*t^7.78*y + (2*t^7.87*y)/g1^8 + (t^7.95*y)/g1^18 + (2*t^8.03*y)/g1^28 + g1^30*t^8.75*y + 3*g1^20*t^8.83*y + g1^10*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1354 | $M_1q_1q_2$ + $ 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_2M_5$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.652 | 0.8141 | 0.8009 | [X:[1.5634], M:[0.4366, 1.1878, 0.7817, 0.8733, 0.8122, 0.7817], q:[0.7969, 0.7664], qb:[0.4519, 0.3603], phi:[0.4061]] | 2*t^2.35 + 2*t^2.44 + t^2.62 + t^3.38 + t^3.47 + t^3.75 + t^3.93 + t^4.6 + 4*t^4.69 + 3*t^4.78 + 4*t^4.87 + 2*t^4.96 + t^5.06 + t^5.24 + t^5.73 + 5*t^5.82 + t^5.91 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
| 1355 | $M_1q_1q_2$ + $ 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_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6552 | 0.8231 | 0.7959 | [X:[1.5625], M:[0.4375, 1.1875, 0.7812, 0.8751, 0.8125, 0.6874], q:[0.7969, 0.7656], qb:[0.4532, 0.3593], phi:[0.4063]] | t^2.06 + t^2.34 + 2*t^2.44 + t^2.63 + t^3.37 + t^3.47 + t^3.66 + t^3.75 + t^4.12 + t^4.41 + 2*t^4.5 + t^4.59 + 3*t^4.69 + t^4.78 + 4*t^4.88 + t^4.97 + t^5.06 + t^5.25 + t^5.44 + t^5.53 + t^5.72 + 5*t^5.81 + t^5.91 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 2031 | $M_1q_1q_2$ + $ 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_2M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6535 | 0.8177 | 0.7992 | [X:[1.5601], M:[0.4399, 1.1867, 0.78, 0.8799, 0.8133, 0.7468], q:[0.7967, 0.7634], qb:[0.4566, 0.3567], phi:[0.4067]] | t^2.24 + t^2.34 + 2*t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.66 + t^3.96 + t^4.48 + 2*t^4.58 + 4*t^4.68 + t^4.78 + 5*t^4.88 + t^4.98 + t^5.08 + t^5.28 + t^5.6 + t^5.7 + 4*t^5.8 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail | |
| 2030 | $M_1q_1q_2$ + $ 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_2M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6489 | 0.8087 | 0.8024 | [X:[1.5766], M:[0.4234, 1.1922, 0.7883, 0.8467, 0.8078, 0.8273], q:[0.7981, 0.7786], qb:[0.4331, 0.3747], phi:[0.4039]] | t^2.36 + 2*t^2.42 + t^2.48 + t^2.54 + t^3.46 + t^3.64 + t^3.69 + t^3.81 + t^4.67 + 2*t^4.73 + t^4.79 + 5*t^4.85 + 3*t^4.91 + 2*t^4.96 + t^5.02 + t^5.08 + 3*t^5.88 - 2*t^6. - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 549 | 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$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | t^2.35 + t^2.44 + t^2.62 + t^3.38 + t^3.47 + t^3.56 + t^3.65 + t^3.74 + t^3.92 + t^4.6 + 2*t^4.69 + 2*t^4.87 + t^4.96 + t^5.23 + 3*t^5.82 + t^5.91 - t^6. - t^4.22/y - t^4.22*y | detail |