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 |
|---|---|---|---|---|---|---|---|---|---|
| 46512 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ + $ M_2M_4$ | 0.6593 | 0.8468 | 0.7786 | [X:[], M:[0.8067, 0.7955, 0.6933, 1.2045], q:[0.75, 0.4433], qb:[0.3522, 0.4545], phi:[0.5]] | [X:[], M:[[3], [-2], [-3], [2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_1$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ M_1M_3$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_3q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ q_1q_2\tilde{q}_1^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_4q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.08 + t^2.39 + 2*t^2.42 + t^2.69 + t^3. + t^3.31 + 2*t^3.61 + t^3.89 + 2*t^4.16 + t^4.19 + t^4.23 + t^4.47 + 2*t^4.5 + 2*t^4.77 + 2*t^4.81 + 3*t^4.84 + 2*t^5.08 + 2*t^5.11 + 3*t^5.39 + 2*t^5.42 + 3*t^5.69 + t^5.73 + 3*t^6.03 + 2*t^6.24 + t^6.27 + 3*t^6.31 + 2*t^6.55 + 4*t^6.58 + 3*t^6.61 + 2*t^6.65 + 3*t^6.85 + 2*t^6.89 + 4*t^6.92 + 3*t^7.16 + 2*t^7.19 + 4*t^7.23 + 4*t^7.26 + 3*t^7.47 + 3*t^7.5 + 2*t^7.53 + 5*t^7.77 + 3*t^7.81 + 4*t^7.84 + t^8.05 + t^8.08 + 3*t^8.11 + t^8.15 + 3*t^8.32 + t^8.35 + 2*t^8.39 - t^8.42 + 5*t^8.45 + 2*t^8.63 + 3*t^8.66 + 3*t^8.73 + 4*t^8.93 + 2*t^8.97 - t^4.5/y - t^6.58/y - t^6.92/y + t^7.47/y + (2*t^7.5)/y + t^7.77/y + (2*t^7.81)/y + t^7.84/y + (3*t^8.08)/y + (2*t^8.11)/y + (2*t^8.39)/y + (3*t^8.42)/y - t^8.66/y + (4*t^8.69)/y + (2*t^8.73)/y + t^8.97/y - t^4.5*y - t^6.58*y - t^6.92*y + t^7.47*y + 2*t^7.5*y + t^7.77*y + 2*t^7.81*y + t^7.84*y + 3*t^8.08*y + 2*t^8.11*y + 2*t^8.39*y + 3*t^8.42*y - t^8.66*y + 4*t^8.69*y + 2*t^8.73*y + t^8.97*y | t^2.08/g1^3 + t^2.39/g1^2 + 2*g1^3*t^2.42 + t^2.69/g1 + t^3. + g1*t^3.31 + 2*g1^2*t^3.61 + t^3.89/g1^2 + (2*t^4.16)/g1^6 + t^4.19/g1 + g1^4*t^4.23 + t^4.47/g1^5 + 2*t^4.5 + (2*t^4.77)/g1^4 + 2*g1*t^4.81 + 3*g1^6*t^4.84 + (2*t^5.08)/g1^3 + 2*g1^2*t^5.11 + (3*t^5.39)/g1^2 + 2*g1^3*t^5.42 + (3*t^5.69)/g1 + g1^4*t^5.73 + 3*g1^5*t^6.03 + (2*t^6.24)/g1^9 + t^6.27/g1^4 + 3*g1*t^6.31 + (2*t^6.55)/g1^8 + (4*t^6.58)/g1^3 + 3*g1^2*t^6.61 + 2*g1^7*t^6.65 + (3*t^6.85)/g1^7 + (2*t^6.89)/g1^2 + 4*g1^3*t^6.92 + (3*t^7.16)/g1^6 + (2*t^7.19)/g1 + 4*g1^4*t^7.23 + 4*g1^9*t^7.26 + (3*t^7.47)/g1^5 + 3*t^7.5 + 2*g1^5*t^7.53 + (5*t^7.77)/g1^4 + 3*g1*t^7.81 + 4*g1^6*t^7.84 + t^8.05/g1^8 + t^8.08/g1^3 + 3*g1^2*t^8.11 + g1^7*t^8.15 + (3*t^8.32)/g1^12 + t^8.35/g1^7 + (2*t^8.39)/g1^2 - g1^3*t^8.42 + 5*g1^8*t^8.45 + (2*t^8.63)/g1^11 + (3*t^8.66)/g1^6 + 3*g1^4*t^8.73 + (4*t^8.93)/g1^10 + (2*t^8.97)/g1^5 - t^4.5/y - t^6.58/(g1^3*y) - (g1^3*t^6.92)/y + t^7.47/(g1^5*y) + (2*t^7.5)/y + t^7.77/(g1^4*y) + (2*g1*t^7.81)/y + (g1^6*t^7.84)/y + (3*t^8.08)/(g1^3*y) + (2*g1^2*t^8.11)/y + (2*t^8.39)/(g1^2*y) + (3*g1^3*t^8.42)/y - t^8.66/(g1^6*y) + (4*t^8.69)/(g1*y) + (2*g1^4*t^8.73)/y + t^8.97/(g1^5*y) - t^4.5*y - (t^6.58*y)/g1^3 - g1^3*t^6.92*y + (t^7.47*y)/g1^5 + 2*t^7.5*y + (t^7.77*y)/g1^4 + 2*g1*t^7.81*y + g1^6*t^7.84*y + (3*t^8.08*y)/g1^3 + 2*g1^2*t^8.11*y + (2*t^8.39*y)/g1^2 + 3*g1^3*t^8.42*y - (t^8.66*y)/g1^6 + (4*t^8.69*y)/g1 + 2*g1^4*t^8.73*y + (t^8.97*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46808 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_1M_5$ | 0.6438 | 0.8203 | 0.7848 | [X:[], M:[0.8245, 0.7837, 0.6755, 1.2163, 1.1755], q:[0.75, 0.4255], qb:[0.3582, 0.4663], phi:[0.5]] | t^2.03 + t^2.35 + t^2.47 + t^2.68 + t^3. + t^3.32 + t^3.53 + 2*t^3.65 + t^3.85 + 2*t^4.05 + t^4.18 + t^4.3 + t^4.38 + t^4.5 + 2*t^4.7 + t^4.82 + t^4.95 + 2*t^5.03 + t^5.15 + 3*t^5.35 + t^5.47 + t^5.55 + 3*t^5.68 + t^5.88 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 48114 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ + $ M_2M_4$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3X_1$ | 0.6301 | 0.7941 | 0.7934 | [X:[1.375], M:[0.875, 0.75, 0.625, 1.25], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 4*t^3.75 + 2*t^4.12 + 2*t^4.5 + 3*t^4.88 + 7*t^5.25 + 2*t^5.62 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 10323/16384, c: 13011/16384, X1: 11/8, M1: 7/8, M2: 3/4, M3: 5/8, M4: 5/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46319 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_2$ | 0.6763 | 0.877 | 0.7712 | [X:[], M:[0.8166, 0.789, 0.6834], q:[0.75, 0.4334], qb:[0.3555, 0.461], phi:[0.5]] | t^2.05 + 2*t^2.37 + 2*t^2.45 + t^2.68 + t^3. + t^3.32 + t^3.63 + t^3.87 + 2*t^4.1 + t^4.18 + t^4.27 + 2*t^4.42 + 2*t^4.5 + 4*t^4.73 + 4*t^4.82 + 3*t^4.9 + 3*t^5.05 + 2*t^5.13 + 4*t^5.37 + 2*t^5.45 + 3*t^5.68 + t^5.77 - t^4.5/y - t^4.5*y | detail |