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 |
|---|---|---|---|---|---|---|---|---|---|
| 46177 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ | 0.6381 | 0.8072 | 0.7905 | [X:[], M:[1.1472, 0.7056, 1.1472, 0.7944], q:[0.75, 0.3972], qb:[0.3972, 0.4556], phi:[0.5]] | [X:[], M:[[1, 0], [0, 1], [-1, -1], [0, -1]], 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 |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ M_3$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2q_2\tilde{q}_1$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_3$, $ M_2q_1q_2$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ M_3M_4$, $ M_4q_1q_2$, $ M_3q_2\tilde{q}_1$, $ q_1q_2^2\tilde{q}_1$, $ M_1M_4$, $ M_4q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | $M_2\phi_1\tilde{q}_1^2$ | -3 | t^2.12 + 2*t^2.38 + t^3. + 4*t^3.44 + 2*t^3.88 + 2*t^4.06 + 2*t^4.23 + 2*t^4.5 + 3*t^4.77 + t^5.12 + 2*t^5.38 + 4*t^5.56 + 6*t^5.82 - 3*t^6. + 4*t^6.27 + 2*t^6.35 + 4*t^6.44 + 2*t^6.62 + 11*t^6.88 - 2*t^7.06 + 4*t^7.15 + t^7.23 + 4*t^7.32 + 2*t^7.5 + 4*t^7.68 + 5*t^7.77 + 6*t^7.94 - 2*t^8.12 + 8*t^8.21 + 2*t^8.29 - 6*t^8.38 + 3*t^8.47 + 6*t^8.65 + 2*t^8.73 + 4*t^8.82 - t^4.5/y - t^6.62/y - t^6.88/y + (2*t^7.06)/y + (2*t^7.5)/y + t^7.77/y - (2*t^7.94)/y + (2*t^8.12)/y + (3*t^8.38)/y + (4*t^8.56)/y - t^8.73/y + (8*t^8.82)/y - t^4.5*y - t^6.62*y - t^6.88*y + 2*t^7.06*y + 2*t^7.5*y + t^7.77*y - 2*t^7.94*y + 2*t^8.12*y + 3*t^8.38*y + 4*t^8.56*y - t^8.73*y + 8*t^8.82*y | g2*t^2.12 + (2*t^2.38)/g2 + t^3. + 2*g1*t^3.44 + (2*t^3.44)/(g1*g2) + g1^2*t^3.88 + t^3.88/(g1^2*g2^2) + t^4.06/g1 + g1*g2*t^4.06 + 2*g2^2*t^4.23 + 2*t^4.5 + (3*t^4.77)/g2^2 + g2*t^5.12 + (2*t^5.38)/g2 + (2*t^5.56)/g1 + 2*g1*g2*t^5.56 + (3*t^5.82)/(g1*g2^2) + (3*g1*t^5.82)/g2 - 3*t^6. + (2*t^6.27)/(g1^2*g2^3) + (2*g1^2*t^6.27)/g2 + 2*g2^3*t^6.35 + 2*g1*t^6.44 + (2*t^6.44)/(g1*g2) + 2*g2*t^6.62 + 3*g1^2*t^6.88 + (3*t^6.88)/(g1^2*g2^2) + (5*t^6.88)/g2 - t^7.06/g1 - g1*g2*t^7.06 + (4*t^7.15)/g2^3 + g2^2*t^7.23 + 2*g1^3*t^7.32 + (2*t^7.32)/(g1^3*g2^3) + 2*t^7.5 + (2*g2*t^7.68)/g1 + 2*g1*g2^2*t^7.68 + g1^4*t^7.77 + t^7.77/(g1^4*g2^4) + (3*t^7.77)/g2^2 + 2*g1*t^7.94 + t^7.94/(g1^3*g2^2) + (2*t^7.94)/(g1*g2) + g1^3*g2*t^7.94 + t^8.12/g1^2 - 4*g2*t^8.12 + g1^2*g2^2*t^8.12 + (4*t^8.21)/(g1*g2^3) + (4*g1*t^8.21)/g2^2 + (g2^2*t^8.29)/g1 + g1*g2^3*t^8.29 - (6*t^8.38)/g2 + 3*g2^4*t^8.47 + (3*t^8.65)/(g1^2*g2^4) + (3*g1^2*t^8.65)/g2^2 + 2*g2^2*t^8.73 + (2*t^8.82)/(g1*g2^2) + (2*g1*t^8.82)/g2 - t^4.5/y - (g2*t^6.62)/y - t^6.88/(g2*y) + t^7.06/(g1*y) + (g1*g2*t^7.06)/y + (2*t^7.5)/y + t^7.77/(g2^2*y) - (g1*t^7.94)/y - t^7.94/(g1*g2*y) + (2*g2*t^8.12)/y + (3*t^8.38)/(g2*y) + (2*t^8.56)/(g1*y) + (2*g1*g2*t^8.56)/y - (g2^2*t^8.73)/y + (4*t^8.82)/(g1*g2^2*y) + (4*g1*t^8.82)/(g2*y) - t^4.5*y - g2*t^6.62*y - (t^6.88*y)/g2 + (t^7.06*y)/g1 + g1*g2*t^7.06*y + 2*t^7.5*y + (t^7.77*y)/g2^2 - g1*t^7.94*y - (t^7.94*y)/(g1*g2) + 2*g2*t^8.12*y + (3*t^8.38*y)/g2 + (2*t^8.56*y)/g1 + 2*g1*g2*t^8.56*y - g2^2*t^8.73*y + (4*t^8.82*y)/(g1*g2^2) + (4*g1*t^8.82*y)/g2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46452 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6587 | 0.8471 | 0.7777 | [X:[], M:[1.1557, 0.7022, 1.1422, 0.7978, 0.6887], q:[0.75, 0.3922], qb:[0.4057, 0.4522], phi:[0.5]] | t^2.07 + t^2.11 + 2*t^2.39 + t^3. + 2*t^3.43 + 2*t^3.47 + t^3.85 + t^4.03 + t^4.07 + t^4.13 + t^4.17 + 2*t^4.21 + 2*t^4.46 + 2*t^4.5 + 3*t^4.79 + t^5.07 + t^5.11 + 2*t^5.39 + 2*t^5.49 + 4*t^5.53 + 2*t^5.57 + 3*t^5.82 + 3*t^5.86 + t^5.92 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45994 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.6218 | 0.7781 | 0.7992 | [X:[], M:[1.1561, 0.6878, 1.1561], q:[0.75, 0.4061], qb:[0.4061, 0.4378], 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 |