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 |
|---|---|---|---|---|---|---|---|---|---|
| 1962 | 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$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6585 | 0.8435 | 0.7807 | [X:[], M:[1.2298, 1.1149, 0.7702, 0.8851, 0.7702, 0.7702], q:[0.75, 0.4053], qb:[0.3649, 0.4798], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-1], [-2], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3M_6$, $ M_5M_6$, $ M_6^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_5$, $ M_4M_6$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_3q_1q_2$, $ M_5q_1q_2$, $ M_6q_1q_2$ | $M_4q_1\tilde{q}_1$ | -1 | 3*t^2.31 + t^2.53 + t^2.66 + t^3. + t^3.34 + t^3.47 + t^3.81 + t^3.93 + t^4.03 + t^4.16 + t^4.38 + 6*t^4.62 + 3*t^4.84 + 3*t^4.97 + t^5.07 + t^5.19 + 4*t^5.31 + t^5.53 + 3*t^5.66 + 2*t^5.78 - t^6. + 3*t^6.12 - t^6.22 + 3*t^6.24 + 2*t^6.34 + 4*t^6.47 + t^6.57 + t^6.59 + 3*t^6.69 + t^6.81 + t^6.91 + 11*t^6.93 + 4*t^7.16 + 6*t^7.28 + 2*t^7.38 + t^7.4 + t^7.5 + t^7.6 + 8*t^7.62 + t^7.74 + 2*t^7.84 + t^7.86 + 7*t^7.97 + t^8.07 + 4*t^8.09 - 3*t^8.31 + t^8.41 + 5*t^8.43 - 4*t^8.53 + 6*t^8.55 + 8*t^8.78 + 3*t^8.9 - t^4.5/y - (2*t^6.81)/y + (3*t^7.62)/y + (3*t^7.84)/y + (3*t^7.97)/y + (3*t^8.19)/y + (3*t^8.31)/y + t^8.53/y + (4*t^8.66)/y + (3*t^8.78)/y + t^8.88/y - t^4.5*y - 2*t^6.81*y + 3*t^7.62*y + 3*t^7.84*y + 3*t^7.97*y + 3*t^8.19*y + 3*t^8.31*y + t^8.53*y + 4*t^8.66*y + 3*t^8.78*y + t^8.88*y | (3*t^2.31)/g1^2 + g1^3*t^2.53 + t^2.66/g1 + t^3. + g1*t^3.34 + t^3.47/g1^3 + t^3.81/g1^2 + t^3.93/g1^6 + g1^3*t^4.03 + t^4.16/g1 + g1^4*t^4.38 + (6*t^4.62)/g1^4 + 3*g1*t^4.84 + (3*t^4.97)/g1^3 + g1^6*t^5.07 + g1^2*t^5.19 + (4*t^5.31)/g1^2 + g1^3*t^5.53 + (3*t^5.66)/g1 + (2*t^5.78)/g1^5 - t^6. + (3*t^6.12)/g1^4 - g1^5*t^6.22 + (3*t^6.24)/g1^8 + 2*g1*t^6.34 + (4*t^6.47)/g1^3 + g1^6*t^6.57 + t^6.59/g1^7 + 3*g1^2*t^6.69 + t^6.81/g1^2 + g1^7*t^6.91 + (11*t^6.93)/g1^6 + (4*t^7.16)/g1 + (6*t^7.28)/g1^5 + 2*g1^4*t^7.38 + t^7.4/g1^9 + t^7.5 + g1^9*t^7.6 + (8*t^7.62)/g1^4 + t^7.74/g1^8 + 2*g1*t^7.84 + t^7.86/g1^12 + (7*t^7.97)/g1^3 + g1^6*t^8.07 + (4*t^8.09)/g1^7 - (3*t^8.31)/g1^2 + g1^7*t^8.41 + (5*t^8.43)/g1^6 - 4*g1^3*t^8.53 + (6*t^8.55)/g1^10 + (8*t^8.78)/g1^5 + (3*t^8.9)/g1^9 - t^4.5/y - (2*t^6.81)/(g1^2*y) + (3*t^7.62)/(g1^4*y) + (3*g1*t^7.84)/y + (3*t^7.97)/(g1^3*y) + (3*g1^2*t^8.19)/y + (3*t^8.31)/(g1^2*y) + (g1^3*t^8.53)/y + (4*t^8.66)/(g1*y) + (3*t^8.78)/(g1^5*y) + (g1^4*t^8.88)/y - t^4.5*y - (2*t^6.81*y)/g1^2 + (3*t^7.62*y)/g1^4 + 3*g1*t^7.84*y + (3*t^7.97*y)/g1^3 + 3*g1^2*t^8.19*y + (3*t^8.31*y)/g1^2 + g1^3*t^8.53*y + (4*t^8.66*y)/g1 + (3*t^8.78*y)/g1^5 + g1^4*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 3017 | $\phi_1q_1^2$ + $ 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$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6793 | 0.8839 | 0.7685 | [X:[], M:[1.2268, 1.1134, 0.7732, 0.8866, 0.7732, 0.7732, 0.6804], q:[0.75, 0.4098], qb:[0.3634, 0.4768], phi:[0.5]] | t^2.04 + 3*t^2.32 + t^2.52 + t^2.66 + t^3. + t^3.34 + t^3.48 + t^3.82 + t^4.02 + t^4.08 + t^4.16 + 4*t^4.36 + t^4.56 + 6*t^4.64 + t^4.7 + 3*t^4.84 + 3*t^4.98 + 2*t^5.04 + t^5.18 + 4*t^5.32 + t^5.38 + 2*t^5.52 + 3*t^5.66 + 2*t^5.8 + t^5.86 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 637 | 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$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ | 0.6406 | 0.8108 | 0.7901 | [X:[], M:[1.223, 1.1115, 0.777, 0.8885, 0.777], q:[0.75, 0.4156], qb:[0.3615, 0.473], phi:[0.5]] | 2*t^2.33 + t^2.5 + t^2.67 + t^3. + t^3.33 + t^3.5 + t^3.67 + t^3.83 + t^3.99 + t^4. + t^4.17 + t^4.34 + 3*t^4.66 + 2*t^4.83 + 2*t^5. + t^5.01 + t^5.17 + 3*t^5.33 + t^5.5 + 2*t^5.67 + t^5.83 + t^6. - t^4.5/y - t^4.5*y | detail |