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 |
|---|---|---|---|---|---|---|---|---|---|
| 47941 | SU3adj1nf2 | $\phi_1^4$ + $ q_1\tilde{q}_1X_1$ + $ q_2\tilde{q}_1X_2$ + $ q_1\tilde{q}_2X_3$ + $ q_2\tilde{q}_2X_4$ + $ M_1\phi_1q_1^2q_2$ | 0.9864 | 1.191 | 0.8281 | [X:[1.4928, 1.5072, 1.4928, 1.5072], M:[0.725], q:[0.2631, 0.2487], qb:[0.2441, 0.2441], phi:[0.5]] | [X:[[0, 0, -1], [0, -1, 0], [0, 1, 0], [0, 0, 1]], M:[[3, 2, 1]], q:[[-1, -1, 0], [-1, 0, -1]], qb:[[1, 1, 1], [1, 0, 0]], phi:[[0, 0, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1q_2^2$, $ M_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ X_3$, $ \phi_1^2q_2\tilde{q}_2$, $ X_1$, $ \phi_1^3$, $ \phi_1^2q_1\tilde{q}_2$, $ X_2$, $ \phi_1^2q_1\tilde{q}_1$, $ X_4$, $ M_1\phi_1q_2\tilde{q}_2$, $ M_1\phi_1q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_1\phi_1q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2^2$, $ M_1\phi_1q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^2q_1q_2^2$, $ \phi_1^2q_1^2q_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^2q_2^2\tilde{q}_1^2$, $ \phi_1^2q_2^2\tilde{q}_2^2$, $ M_1\phi_1q_1q_2^2$, $ \phi_1^2q_2^2\tilde{q}_1\tilde{q}_2$ | $\phi_1^2q_1q_2\tilde{q}_1^2$, $ \phi_1^2q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_1q_2\tilde{q}_2^2$ | -2 | t^2.18 + 2*t^2.98 + t^3. + 2*t^3.02 + 2*t^3.7 + t^3.78 + t^4.35 + 4*t^4.48 + t^4.5 + 4*t^4.52 + 2*t^5.15 + t^5.18 + 4*t^5.2 + t^5.28 + t^5.32 + 2*t^5.87 + 3*t^5.96 - 2*t^6. + 2*t^6.04 + t^6.53 + 4*t^6.65 + 3*t^6.68 + 8*t^6.7 + 2*t^6.72 + t^6.74 + 2*t^6.76 + t^6.78 - 2*t^6.8 + t^6.87 + 2*t^7.33 + t^7.35 + 4*t^7.37 + 3*t^7.39 + 8*t^7.46 + 4*t^7.48 + 12*t^7.5 + 2*t^7.52 + 7*t^7.54 + t^7.56 + 2*t^8.05 + 3*t^8.13 + 2*t^8.18 - 2*t^8.2 + 6*t^8.22 - t^8.24 + 2*t^8.26 - t^8.32 - 2*t^8.35 - t^8.37 + t^8.7 + 4*t^8.83 + 3*t^8.85 + 8*t^8.87 + 6*t^8.89 + t^8.91 + 4*t^8.94 + 8*t^8.96 - 10*t^8.98 - t^4.5/y - t^6./y - t^6.68/y + t^7.5/y + (2*t^8.15)/y + (2*t^8.2)/y + t^8.32/y - t^8.85/y + (2*t^8.87)/y + (2*t^8.96)/y - (2*t^8.98)/y - t^4.5*y - t^6.*y - t^6.68*y + t^7.5*y + 2*t^8.15*y + 2*t^8.2*y + t^8.32*y - t^8.85*y + 2*t^8.87*y + 2*t^8.96*y - 2*t^8.98*y | g1^3*g2^2*g3*t^2.18 + g2*t^2.98 + t^2.98/g3 + t^3. + t^3.02/g2 + g3*t^3.02 + g1^3*g2*g3*t^3.7 + g1^3*g2^2*g3^2*t^3.7 + t^3.78/(g1^3*g2*g3^2) + g1^6*g2^4*g3^2*t^4.35 + 2*g2*t^4.48 + (2*t^4.48)/g3 + t^4.5 + (2*t^4.52)/g2 + 2*g3*t^4.52 + g1^3*g2^2*t^5.15 + g1^3*g2^3*g3*t^5.15 + g1^3*g2^2*g3*t^5.18 + 2*g1^3*g2*g3*t^5.2 + 2*g1^3*g2^2*g3^2*t^5.2 + t^5.28/(g1^3*g2*g3^2) + t^5.32/(g1^3*g2^2*g3) + g1^6*g2^3*g3^2*t^5.87 + g1^6*g2^4*g3^3*t^5.87 + g2^2*t^5.96 + t^5.96/g3^2 + (g2*t^5.96)/g3 - 2*t^6. + t^6.04/g2^2 + g3^2*t^6.04 + g1^9*g2^6*g3^3*t^6.53 + 2*g1^3*g2^2*t^6.65 + 2*g1^3*g2^3*g3*t^6.65 + g1^3*g2*t^6.68 + g1^3*g2^2*g3*t^6.68 + g1^3*g2^3*g3^2*t^6.68 + g1^3*t^6.7 + 3*g1^3*g2*g3*t^6.7 + 3*g1^3*g2^2*g3^2*t^6.7 + g1^3*g2^3*g3^3*t^6.7 + g1^3*g3*t^6.72 + g1^3*g2^2*g3^3*t^6.72 + t^6.74/(g1^3*g3^3) + t^6.76/(g1^3*g2*g3^3) + t^6.76/(g1^3*g3^2) + t^6.78/(g1^3*g2*g3^2) - t^6.8/(g1^3*g2^2*g3^2) - t^6.8/(g1^3*g2*g3) + t^6.87/(g1^3*g2^3) + g1^6*g2^4*g3*t^7.33 + g1^6*g2^5*g3^2*t^7.33 + g1^6*g2^4*g3^2*t^7.35 + 2*g1^6*g2^3*g3^2*t^7.37 + 2*g1^6*g2^4*g3^3*t^7.37 + g1^6*g2^2*g3^2*t^7.39 + g1^6*g2^3*g3^3*t^7.39 + g1^6*g2^4*g3^4*t^7.39 + 2*g2^2*t^7.46 + (2*t^7.46)/g3^2 + (4*g2*t^7.46)/g3 + 2*g2*t^7.48 + (2*t^7.48)/g3 + 6*t^7.5 + (3*t^7.5)/(g2*g3) + 3*g2*g3*t^7.5 + t^7.52/g2 + g3*t^7.52 + (2*t^7.54)/g2^2 + (3*g3*t^7.54)/g2 + 2*g3^2*t^7.54 + t^7.56/(g1^6*g2^2*g3^4) + g1^9*g2^5*g3^3*t^8.05 + g1^9*g2^6*g3^4*t^8.05 + g1^3*g2^3*t^8.13 + (g1^3*g2^2*t^8.13)/g3 + g1^3*g2^4*g3*t^8.13 + g1^3*g2*t^8.18 + g1^3*g2^3*g3^2*t^8.18 - g1^3*t^8.2 - g1^3*g2^3*g3^3*t^8.2 + 2*g1^3*g3*t^8.22 + 2*g1^3*g2*g3^2*t^8.22 + 2*g1^3*g2^2*g3^3*t^8.22 - t^8.24/(g1^3*g3^3) + t^8.26/(g1^3*g2*g3^3) + t^8.26/(g1^3*g3^2) - t^8.32/(g1^3*g2^2*g3) - t^8.35/(g1^3*g2^2) - t^8.35/(g1^3*g2^3*g3) - t^8.37/(g1^3*g2^3) + g1^12*g2^8*g3^4*t^8.7 + 2*g1^6*g2^4*g3*t^8.83 + 2*g1^6*g2^5*g3^2*t^8.83 + g1^6*g2^3*g3*t^8.85 + g1^6*g2^4*g3^2*t^8.85 + g1^6*g2^5*g3^3*t^8.85 + g1^6*g2^2*g3*t^8.87 + 3*g1^6*g2^3*g3^2*t^8.87 + 3*g1^6*g2^4*g3^3*t^8.87 + g1^6*g2^5*g3^4*t^8.87 + 2*g1^6*g2^2*g3^2*t^8.89 + 2*g1^6*g2^3*g3^3*t^8.89 + 2*g1^6*g2^4*g3^4*t^8.89 + (g2^2*t^8.91)/g3^2 + g2^3*t^8.94 + t^8.94/g3^3 + (g2*t^8.94)/g3^2 + (g2^2*t^8.94)/g3 + 3*g2^2*t^8.96 + (3*t^8.96)/g3^2 + (2*g2*t^8.96)/g3 - 5*g2*t^8.98 - (5*t^8.98)/g3 - t^4.5/y - t^6./y - (g1^3*g2^2*g3*t^6.68)/y + t^7.5/y + (g1^3*g2^2*t^8.15)/y + (g1^3*g2^3*g3*t^8.15)/y + (g1^3*g2*g3*t^8.2)/y + (g1^3*g2^2*g3^2*t^8.2)/y + t^8.32/(g1^3*g2^2*g3*y) - (g1^6*g2^4*g3^2*t^8.85)/y + (g1^6*g2^3*g3^2*t^8.87)/y + (g1^6*g2^4*g3^3*t^8.87)/y + (2*g2*t^8.96)/(g3*y) - (g2*t^8.98)/y - t^8.98/(g3*y) - t^4.5*y - t^6.*y - g1^3*g2^2*g3*t^6.68*y + t^7.5*y + g1^3*g2^2*t^8.15*y + g1^3*g2^3*g3*t^8.15*y + g1^3*g2*g3*t^8.2*y + g1^3*g2^2*g3^2*t^8.2*y + (t^8.32*y)/(g1^3*g2^2*g3) - g1^6*g2^4*g3^2*t^8.85*y + g1^6*g2^3*g3^2*t^8.87*y + g1^6*g2^4*g3^3*t^8.87*y + (2*g2*t^8.96*y)/g3 - g2*t^8.98*y - (t^8.98*y)/g3 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47877 | SU3adj1nf2 | $\phi_1^4$ + $ q_1\tilde{q}_1X_1$ + $ q_2\tilde{q}_1X_2$ + $ q_1\tilde{q}_2X_3$ + $ q_2\tilde{q}_2X_4$ | 0.9668 | 1.1543 | 0.8376 | [X:[1.5, 1.5, 1.5, 1.5], M:[], q:[0.25, 0.25], qb:[0.25, 0.25], phi:[0.5]] | 5*t^3. + 4*t^3.75 + 9*t^4.5 + 4*t^5.25 + 2*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail | {a: 495/512, c: 591/512, X1: 3/2, X2: 3/2, X3: 3/2, X4: 3/2, q1: 1/4, q2: 1/4, qb1: 1/4, qb2: 1/4, phi1: 1/2} |