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 |
|---|---|---|---|---|---|---|---|---|---|
| 1916 | 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_5q_1\tilde{q}_1$ | 0.6379 | 0.7905 | 0.8069 | [X:[1.5576], M:[0.4424, 1.1859, 0.7788, 0.8848, 0.7434], q:[0.7965, 0.7611], qb:[0.4601, 0.354], phi:[0.4071]] | [X:[[12]], M:[[-12], [4], [6], [-24], [16]], 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$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_3M_5$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_4M_5$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_5q_2\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2M_5$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.23 + t^2.34 + t^2.44 + t^2.65 + t^3.35 + t^3.45 + t^3.56 + t^3.66 + t^3.98 + t^4.46 + 2*t^4.57 + 3*t^4.67 + 3*t^4.88 + t^4.99 + t^5.31 + t^5.58 + t^5.68 + 4*t^5.79 + 2*t^5.89 - t^6. + t^6.11 + t^6.21 + t^6.42 + t^6.64 + 2*t^6.69 + 3*t^6.8 + 3*t^6.9 + 3*t^7.01 + 3*t^7.12 + 3*t^7.33 + t^7.54 + 2*t^7.65 + t^7.81 + 2*t^7.91 + 2*t^7.96 + 5*t^8.02 + 3*t^8.12 + t^8.23 - t^8.34 - t^8.44 + t^8.55 - 2*t^8.65 - t^8.76 + 3*t^8.87 + 2*t^8.92 - t^4.22/y - t^6.45/y - t^6.56/y - t^6.88/y + (2*t^7.57)/y + t^7.67/y + t^7.78/y + (2*t^7.88)/y + (2*t^7.99)/y + t^8.1/y + t^8.58/y + t^8.68/y + (2*t^8.79)/y + (2*t^8.89)/y - t^4.22*y - t^6.45*y - t^6.56*y - t^6.88*y + 2*t^7.57*y + t^7.67*y + t^7.78*y + 2*t^7.88*y + 2*t^7.99*y + t^8.1*y + t^8.58*y + t^8.68*y + 2*t^8.79*y + 2*t^8.89*y | g1^16*t^2.23 + g1^6*t^2.34 + t^2.44/g1^4 + t^2.65/g1^24 + g1^24*t^3.35 + g1^14*t^3.45 + g1^4*t^3.56 + t^3.66/g1^6 + t^3.98/g1^36 + g1^32*t^4.46 + 2*g1^22*t^4.57 + 3*g1^12*t^4.67 + (3*t^4.88)/g1^8 + t^4.99/g1^18 + t^5.31/g1^48 + g1^40*t^5.58 + g1^30*t^5.68 + 4*g1^20*t^5.79 + 2*g1^10*t^5.89 - t^6. + t^6.11/g1^10 + t^6.21/g1^20 + t^6.42/g1^40 + t^6.64/g1^60 + 2*g1^48*t^6.69 + 3*g1^38*t^6.8 + 3*g1^28*t^6.9 + 3*g1^18*t^7.01 + 3*g1^8*t^7.12 + (3*t^7.33)/g1^12 + t^7.54/g1^32 + (2*t^7.65)/g1^42 + g1^56*t^7.81 + 2*g1^46*t^7.91 + (2*t^7.96)/g1^72 + 5*g1^36*t^8.02 + 3*g1^26*t^8.12 + g1^16*t^8.23 - g1^6*t^8.34 - t^8.44/g1^4 + t^8.55/g1^14 - (2*t^8.65)/g1^24 - t^8.76/g1^34 + (3*t^8.87)/g1^44 + 2*g1^64*t^8.92 - t^4.22/(g1^2*y) - (g1^14*t^6.45)/y - (g1^4*t^6.56)/y - t^6.88/(g1^26*y) + (2*g1^22*t^7.57)/y + (g1^12*t^7.67)/y + (g1^2*t^7.78)/y + (2*t^7.88)/(g1^8*y) + (2*t^7.99)/(g1^18*y) + t^8.1/(g1^28*y) + (g1^40*t^8.58)/y + (g1^30*t^8.68)/y + (2*g1^20*t^8.79)/y + (2*g1^10*t^8.89)/y - (t^4.22*y)/g1^2 - g1^14*t^6.45*y - g1^4*t^6.56*y - (t^6.88*y)/g1^26 + 2*g1^22*t^7.57*y + g1^12*t^7.67*y + g1^2*t^7.78*y + (2*t^7.88*y)/g1^8 + (2*t^7.99*y)/g1^18 + (t^8.1*y)/g1^28 + g1^40*t^8.58*y + g1^30*t^8.68*y + 2*g1^20*t^8.79*y + 2*g1^10*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 2950 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_6q_2\tilde{q}_2$ | 0.6497 | 0.8106 | 0.8015 | [X:[1.5748], M:[0.4252, 1.1916, 0.7874, 0.8504, 0.7664, 0.8504], q:[0.7979, 0.7769], qb:[0.4357, 0.3727], phi:[0.4042]] | t^2.3 + t^2.36 + t^2.43 + 2*t^2.55 + t^3.51 + t^3.57 + t^3.64 + t^3.83 + t^4.6 + 2*t^4.66 + 3*t^4.72 + 4*t^4.85 + 2*t^4.91 + t^4.98 + 3*t^5.1 + 3*t^5.87 + 2*t^5.94 - 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 |