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 |
|---|---|---|---|---|---|---|---|---|---|
| 47278 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_3\phi_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.7089 | 0.8722 | 0.8128 | [X:[], M:[0.9549, 1.0451, 1.0451, 0.8648, 0.8648], q:[0.4324, 0.6127], qb:[0.5225, 0.5225], phi:[0.4775]] | [X:[], M:[[-2], [2], [2], [-6], [-6]], q:[[-3], [5]], qb:[[1], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_1M_4$, $ M_1M_5$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_1^2$, $ M_2M_4$, $ M_3M_4$, $ M_2M_5$, $ M_3M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_1M_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | 0 | 2*t^2.59 + 2*t^2.86 + 3*t^3.14 + t^4.03 + 2*t^4.3 + 4*t^4.57 + 2*t^4.84 + t^5.11 + 3*t^5.19 + 3*t^5.46 + 5*t^5.73 + t^6.27 - t^6.54 + 2*t^6.62 + 5*t^6.89 + 9*t^7.16 + 7*t^7.43 + 5*t^7.7 + 4*t^7.78 + t^7.97 + 5*t^8.05 + t^8.24 + 8*t^8.32 - t^8.86 - t^4.43/y - (2*t^7.03)/y + (2*t^7.84)/y + t^8.19/y + (4*t^8.46)/y + (7*t^8.73)/y - t^4.43*y - 2*t^7.03*y + 2*t^7.84*y + t^8.19*y + 4*t^8.46*y + 7*t^8.73*y | (2*t^2.59)/g1^6 + (2*t^2.86)/g1^2 + 3*g1^2*t^3.14 + t^4.03/g1^7 + (2*t^4.3)/g1^3 + 4*g1*t^4.57 + 2*g1^5*t^4.84 + g1^9*t^5.11 + (3*t^5.19)/g1^12 + (3*t^5.46)/g1^8 + (5*t^5.73)/g1^4 + g1^4*t^6.27 - g1^8*t^6.54 + (2*t^6.62)/g1^13 + (5*t^6.89)/g1^9 + (9*t^7.16)/g1^5 + (7*t^7.43)/g1 + 5*g1^3*t^7.7 + (4*t^7.78)/g1^18 + g1^7*t^7.97 + (5*t^8.05)/g1^14 + g1^11*t^8.24 + (8*t^8.32)/g1^10 - t^8.86/g1^2 - t^4.43/(g1*y) - (2*t^7.03)/(g1^7*y) + (2*g1^5*t^7.84)/y + t^8.19/(g1^12*y) + (4*t^8.46)/(g1^8*y) + (7*t^8.73)/(g1^4*y) - (t^4.43*y)/g1 - (2*t^7.03*y)/g1^7 + 2*g1^5*t^7.84*y + (t^8.19*y)/g1^12 + (4*t^8.46*y)/g1^8 + (7*t^8.73*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46436 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_3\phi_1^2$ | 0.6987 | 0.854 | 0.8181 | [X:[], M:[0.9697, 1.0303, 1.0303, 0.9091], q:[0.4545, 0.5758], qb:[0.5152, 0.5152], phi:[0.4848]] | t^2.73 + 2*t^2.91 + 3*t^3.09 + t^3.27 + t^4.18 + 2*t^4.36 + 4*t^4.55 + 2*t^4.73 + t^4.91 + t^5.45 + t^5.64 + 2*t^5.82 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 2029/2904, c: 310/363, M1: 32/33, M2: 34/33, M3: 34/33, M4: 10/11, q1: 5/11, q2: 19/33, qb1: 17/33, qb2: 17/33, phi1: 16/33} |