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 |
|---|---|---|---|---|---|---|---|---|---|
| 3228 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ + $ M_5\phi_1q_2^2$ | 0.6777 | 0.8835 | 0.7671 | [X:[], M:[1.1039, 0.7922, 0.75, 0.8539, 0.7078], q:[0.75, 0.3961], qb:[0.5, 0.3539], phi:[0.5]] | [X:[], M:[[1], [-2], [0], [1], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ q_2\tilde{q}_2$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_3M_5$, $ M_5q_2\tilde{q}_2$, $ M_3^2$, $ M_2M_5$, $ \phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_3$, $ M_2q_2\tilde{q}_2$, $ M_4M_5$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_5\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_5$, $ M_5q_1\tilde{q}_2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1M_2$, $ M_2q_1\tilde{q}_2$, $ M_1M_4$, $ M_5q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -1 | t^2.12 + 2*t^2.25 + t^2.38 + 2*t^2.56 + t^3. + 2*t^3.31 + t^3.75 + t^4.06 + t^4.19 + t^4.25 + 2*t^4.37 + 5*t^4.5 + 2*t^4.63 + 2*t^4.68 + t^4.75 + 4*t^4.81 + 2*t^4.94 + 4*t^5.12 + 2*t^5.25 + t^5.38 + 2*t^5.43 + 5*t^5.56 + t^5.69 + 4*t^5.87 - t^6. + t^6.18 + 4*t^6.31 + t^6.37 + 2*t^6.5 + t^6.57 + 9*t^6.62 + 7*t^6.75 + 2*t^6.81 + 4*t^6.88 + 4*t^6.93 + 2*t^7. + 9*t^7.06 + t^7.13 + t^7.19 + 4*t^7.25 + 2*t^7.32 + 8*t^7.37 + 5*t^7.5 + 2*t^7.56 + 9*t^7.68 + t^7.75 + 8*t^7.81 + 4*t^8. + t^8.07 + 6*t^8.12 - 2*t^8.25 + t^8.31 - 3*t^8.38 + 8*t^8.43 + t^8.49 - t^8.56 + 2*t^8.62 - t^8.69 + 9*t^8.75 + 13*t^8.87 + 2*t^8.93 + t^8.94 - t^4.5/y - t^6.62/y - t^6.75/y - t^6.88/y - t^7.06/y + t^7.19/y + (2*t^7.37)/y + (2*t^7.5)/y + (2*t^7.63)/y + (2*t^7.68)/y + (3*t^7.81)/y + (3*t^7.94)/y + (3*t^8.12)/y + (3*t^8.25)/y + (2*t^8.38)/y + (2*t^8.43)/y + (6*t^8.56)/y + (2*t^8.69)/y - t^8.75/y + (4*t^8.87)/y - t^4.5*y - t^6.62*y - t^6.75*y - t^6.88*y - t^7.06*y + t^7.19*y + 2*t^7.37*y + 2*t^7.5*y + 2*t^7.63*y + 2*t^7.68*y + 3*t^7.81*y + 3*t^7.94*y + 3*t^8.12*y + 3*t^8.25*y + 2*t^8.38*y + 2*t^8.43*y + 6*t^8.56*y + 2*t^8.69*y - t^8.75*y + 4*t^8.87*y | g1^2*t^2.12 + 2*t^2.25 + t^2.38/g1^2 + 2*g1*t^2.56 + t^3. + 2*g1*t^3.31 + t^3.75 + g1*t^4.06 + t^4.19/g1 + g1^4*t^4.25 + 2*g1^2*t^4.37 + 5*t^4.5 + (2*t^4.63)/g1^2 + 2*g1^3*t^4.68 + t^4.75/g1^4 + 4*g1*t^4.81 + (2*t^4.94)/g1 + 4*g1^2*t^5.12 + 2*t^5.25 + t^5.38/g1^2 + 2*g1^3*t^5.43 + 5*g1*t^5.56 + t^5.69/g1 + 4*g1^2*t^5.87 - t^6. + g1^3*t^6.18 + 4*g1*t^6.31 + g1^6*t^6.37 + 2*g1^4*t^6.5 + t^6.57/g1^3 + 9*g1^2*t^6.62 + 7*t^6.75 + 2*g1^5*t^6.81 + (4*t^6.88)/g1^2 + 4*g1^3*t^6.93 + (2*t^7.)/g1^4 + 9*g1*t^7.06 + t^7.13/g1^6 + t^7.19/g1 + 4*g1^4*t^7.25 + (2*t^7.32)/g1^3 + 8*g1^2*t^7.37 + 5*t^7.5 + 2*g1^5*t^7.56 + 9*g1^3*t^7.68 + t^7.75/g1^4 + 8*g1*t^7.81 + 4*g1^4*t^8. + t^8.07/g1^3 + 6*g1^2*t^8.12 - 2*t^8.25 + g1^5*t^8.31 - (3*t^8.38)/g1^2 + 8*g1^3*t^8.43 + g1^8*t^8.49 - g1*t^8.56 + 2*g1^6*t^8.62 - t^8.69/g1 + 9*g1^4*t^8.75 + 13*g1^2*t^8.87 + 2*g1^7*t^8.93 + t^8.94/g1^5 - t^4.5/y - (g1^2*t^6.62)/y - t^6.75/y - t^6.88/(g1^2*y) - (g1*t^7.06)/y + t^7.19/(g1*y) + (2*g1^2*t^7.37)/y + (2*t^7.5)/y + (2*t^7.63)/(g1^2*y) + (2*g1^3*t^7.68)/y + (3*g1*t^7.81)/y + (3*t^7.94)/(g1*y) + (3*g1^2*t^8.12)/y + (3*t^8.25)/y + (2*t^8.38)/(g1^2*y) + (2*g1^3*t^8.43)/y + (6*g1*t^8.56)/y + (2*t^8.69)/(g1*y) - (g1^4*t^8.75)/y + (4*g1^2*t^8.87)/y - t^4.5*y - g1^2*t^6.62*y - t^6.75*y - (t^6.88*y)/g1^2 - g1*t^7.06*y + (t^7.19*y)/g1 + 2*g1^2*t^7.37*y + 2*t^7.5*y + (2*t^7.63*y)/g1^2 + 2*g1^3*t^7.68*y + 3*g1*t^7.81*y + (3*t^7.94*y)/g1 + 3*g1^2*t^8.12*y + 3*t^8.25*y + (2*t^8.38*y)/g1^2 + 2*g1^3*t^8.43*y + 6*g1*t^8.56*y + (2*t^8.69*y)/g1 - g1^4*t^8.75*y + 4*g1^2*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 3648 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ + $ M_5\phi_1q_2^2$ + $ M_1M_4$ | 0.676 | 0.8792 | 0.769 | [X:[], M:[1.125, 0.75, 0.75, 0.875, 0.75], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | 4*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.38 + t^3.75 + 2*t^4.12 + 11*t^4.5 + 8*t^4.88 + 7*t^5.25 + 8*t^5.62 + 3*t^6. - t^4.5/y - t^4.5*y | detail | {a: 2769/4096, c: 3601/4096, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 3/4, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2} |
| 3649 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ + $ M_5\phi_1q_2^2$ + $ M_6q_1\tilde{q}_1$ | 0.6968 | 0.9182 | 0.7589 | [X:[], M:[1.1039, 0.7922, 0.75, 0.8539, 0.7078, 0.75], q:[0.75, 0.3961], qb:[0.5, 0.3539], phi:[0.5]] | t^2.12 + 3*t^2.25 + t^2.38 + 2*t^2.56 + t^3. + 2*t^3.31 + t^4.06 + t^4.19 + t^4.25 + 3*t^4.37 + 8*t^4.5 + 3*t^4.63 + 2*t^4.68 + t^4.75 + 6*t^4.81 + 2*t^4.94 + 4*t^5.12 + 3*t^5.25 + t^5.38 + 2*t^5.43 + 7*t^5.56 + t^5.69 + 3*t^5.87 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2717 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ | 0.6575 | 0.845 | 0.7781 | [X:[], M:[1.1114, 0.7771, 0.75, 0.8614], q:[0.75, 0.3886], qb:[0.5, 0.3614], phi:[0.5]] | 2*t^2.25 + t^2.33 + 2*t^2.58 + t^3. + 2*t^3.33 + t^3.75 + t^3.83 + t^4.08 + t^4.17 + 4*t^4.5 + 2*t^4.58 + t^4.66 + 4*t^4.83 + 2*t^4.92 + 3*t^5.17 + 2*t^5.25 + t^5.33 + 5*t^5.58 + t^5.67 + 3*t^5.92 - t^6. - t^4.5/y - t^4.5*y | detail |