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 |
|---|---|---|---|---|---|---|---|---|---|
| 158 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6219 | 0.7787 | 0.7986 | [X:[], M:[1.1511, 1.1598, 0.6804], q:[0.75, 0.4391], qb:[0.4098, 0.4011], phi:[0.5]] | [X:[], M:[[0, 1], [1, 0], [-2, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$, $ M_2M_3$, $ M_3q_1\tilde{q}_1$, $ M_3q_1q_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | . | -2 | t^2.04 + t^2.43 + t^3. + 2*t^3.45 + 2*t^3.48 + t^3.57 + t^3.91 + t^3.93 + t^4.02 + t^4.05 + t^4.08 + t^4.13 + t^4.47 + t^4.87 + t^5.04 + t^5.43 + 2*t^5.49 + 2*t^5.52 + t^5.61 + t^5.89 + t^5.91 + t^5.95 - 2*t^6. - t^6.03 + t^6.06 - t^6.11 + t^6.12 + t^6.18 + t^6.34 + t^6.37 + t^6.45 + t^6.48 + t^6.52 + 4*t^6.91 + 3*t^6.93 + 2*t^6.96 + t^7.02 + t^7.05 + t^7.08 + t^7.13 + t^7.3 + 2*t^7.36 + 2*t^7.39 + 2*t^7.47 + t^7.5 + 2*t^7.54 + 2*t^7.56 + t^7.59 + t^7.61 + t^7.65 + t^7.7 + t^7.81 + t^7.84 + t^7.87 + 2*t^7.93 + t^7.95 - t^7.98 + t^7.99 - t^8.04 - t^8.07 + t^8.1 + t^8.17 + t^8.18 + t^8.22 + t^8.27 + t^8.32 + t^8.34 + t^8.38 - 2*t^8.43 - t^8.46 + t^8.49 - t^8.55 + t^8.56 + t^8.77 + t^8.8 + 4*t^8.95 + 2*t^8.97 - t^4.5/y - t^6.54/y + t^7.02/y + t^7.05/y + t^7.47/y - t^7.95/y - t^7.98/y + t^8.04/y + t^8.43/y + t^8.46/y + (2*t^8.49)/y + (2*t^8.52)/y - t^8.58/y + t^8.61/y + (2*t^8.89)/y + (2*t^8.91)/y + t^8.95/y + t^8.97/y - t^4.5*y - t^6.54*y + t^7.02*y + t^7.05*y + t^7.47*y - t^7.95*y - t^7.98*y + t^8.04*y + t^8.43*y + t^8.46*y + 2*t^8.49*y + 2*t^8.52*y - t^8.58*y + t^8.61*y + 2*t^8.89*y + 2*t^8.91*y + t^8.95*y + t^8.97*y | t^2.04/g1^2 + g1*g2*t^2.43 + t^3. + 2*g2*t^3.45 + 2*g1*t^3.48 + t^3.57/(g1*g2) + g2^2*t^3.91 + g1*g2*t^3.93 + t^4.02/g1 + t^4.05/g2 + t^4.08/g1^4 + t^4.13/(g1^2*g2^2) + (g2*t^4.47)/g1 + g1^2*g2^2*t^4.87 + t^5.04/g1^2 + g1*g2*t^5.43 + (2*g2*t^5.49)/g1^2 + (2*t^5.52)/g1 + t^5.61/(g1^3*g2) + g1*g2^2*t^5.89 + g1^2*g2*t^5.91 + (g2^2*t^5.95)/g1^2 - 2*t^6. - (g1*t^6.03)/g2 + t^6.06/g1^3 - t^6.11/(g1*g2^2) + t^6.12/g1^6 + t^6.18/(g1^4*g2^2) + g1*g2^3*t^6.34 + g1^2*g2^2*t^6.37 + g2*t^6.45 + g1*t^6.48 + (g2*t^6.52)/g1^3 + 4*g2^2*t^6.91 + 3*g1*g2*t^6.93 + 2*g1^2*t^6.96 + t^7.02/g1 + t^7.05/g2 + t^7.08/g1^4 + t^7.13/(g1^2*g2^2) + g1^3*g2^3*t^7.3 + 2*g2^3*t^7.36 + 2*g1*g2^2*t^7.39 + (2*g2*t^7.47)/g1 + t^7.5 + (2*g2*t^7.54)/g1^4 + (2*t^7.56)/g1^3 + t^7.59/(g1^2*g2) + t^7.61/(g1*g2^2) + t^7.65/(g1^5*g2) + t^7.7/(g1^3*g2^3) + g2^4*t^7.81 + g1*g2^3*t^7.84 + g1^2*g2^2*t^7.87 + (2*g2^2*t^7.93)/g1 + g2*t^7.95 - g1*t^7.98 + (g2^2*t^7.99)/g1^4 - t^8.04/g1^2 - t^8.07/(g1*g2) + t^8.1/g1^5 + t^8.17/g1^8 + t^8.18/(g1^2*g2^3) + t^8.22/(g1^6*g2^2) + t^8.27/(g1^4*g2^4) + g1^2*g2^3*t^8.32 + g1^3*g2^2*t^8.34 + (g2^3*t^8.38)/g1 - 2*g1*g2*t^8.43 - g1^2*t^8.46 + (g2*t^8.49)/g1^2 - t^8.55/g2 + (g2*t^8.56)/g1^5 + g1^2*g2^4*t^8.77 + g1^3*g2^3*t^8.8 + (4*g2^2*t^8.95)/g1^2 + (2*g2*t^8.97)/g1 - t^4.5/y - t^6.54/(g1^2*y) + t^7.02/(g1*y) + t^7.05/(g2*y) + (g2*t^7.47)/(g1*y) - (g2*t^7.95)/y - (g1*t^7.98)/y + t^8.04/(g1^2*y) + (g1*g2*t^8.43)/y + (g1^2*t^8.46)/y + (2*g2*t^8.49)/(g1^2*y) + (2*t^8.52)/(g1*y) - t^8.58/(g1^4*y) + t^8.61/(g1^3*g2*y) + (2*g1*g2^2*t^8.89)/y + (2*g1^2*g2*t^8.91)/y + (g2^2*t^8.95)/(g1^2*y) + (g2*t^8.97)/(g1*y) - t^4.5*y - (t^6.54*y)/g1^2 + (t^7.02*y)/g1 + (t^7.05*y)/g2 + (g2*t^7.47*y)/g1 - g2*t^7.95*y - g1*t^7.98*y + (t^8.04*y)/g1^2 + g1*g2*t^8.43*y + g1^2*t^8.46*y + (2*g2*t^8.49*y)/g1^2 + (2*t^8.52*y)/g1 - (t^8.58*y)/g1^4 + (t^8.61*y)/(g1^3*g2) + 2*g1*g2^2*t^8.89*y + 2*g1^2*g2*t^8.91*y + (g2^2*t^8.95*y)/g1^2 + (g2*t^8.97*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 248 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ | 0.6134 | 0.7631 | 0.8038 | [X:[], M:[1.2089, 1.1045, 0.7911], q:[0.75, 0.4366], qb:[0.3545, 0.4589], phi:[0.5]] | t^2.37 + t^2.44 + t^3. + 2*t^3.31 + t^3.56 + 2*t^3.63 + t^3.87 + t^3.94 + t^4.12 + t^4.19 + t^4.25 + t^4.75 + t^4.81 + t^4.88 + t^5.37 + t^5.44 + t^5.69 + t^5.75 - t^4.5/y - t^4.5*y | detail | |
| 247 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6218 | 0.7781 | 0.7992 | [X:[], M:[1.1561, 1.1561, 0.6878], q:[0.75, 0.4378], qb:[0.4061, 0.4061], phi:[0.5]] | t^2.06 + t^2.44 + t^3. + 4*t^3.47 + t^3.56 + 2*t^3.94 + 2*t^4.03 + 2*t^4.13 + t^4.5 + t^4.87 + t^5.06 + t^5.44 + 4*t^5.53 + t^5.63 + 2*t^5.91 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 251 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6426 | 0.8185 | 0.785 | [X:[], M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.75, 0.4348], qb:[0.4076, 0.4076], phi:[0.5]] | 2*t^2.05 + t^2.45 + t^3. + 4*t^3.47 + t^3.55 + t^3.95 + 2*t^4.03 + 4*t^4.11 + 2*t^4.5 + t^4.89 + 2*t^5.05 + t^5.45 + 8*t^5.53 + 2*t^5.61 + 2*t^5.92 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 99 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ | 0.6011 | 0.7381 | 0.8144 | [X:[], M:[1.154, 1.154], q:[0.75, 0.4419], qb:[0.404, 0.404], phi:[0.5]] | t^2.42 + t^3. + 4*t^3.46 + t^3.58 + 3*t^3.92 + 2*t^4.04 + t^4.15 + t^4.85 + t^5.42 + 2*t^5.89 - 4*t^6. - t^4.5/y - t^4.5*y | detail |