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 |
|---|---|---|---|---|---|---|---|---|---|
| 46073 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ | 0.6276 | 0.7929 | 0.7915 | [X:[], M:[1.105, 0.75], q:[0.75, 0.395], qb:[0.355, 0.5], phi:[0.5]] | [X:[], M:[[1], [0]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2q_1q_2$, $ q_1q_2^2\tilde{q}_1$, $ M_2\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $q_1q_2\tilde{q}_1\tilde{q}_2$ | 0 | 2*t^2.25 + t^2.56 + t^3. + 2*t^3.31 + t^3.44 + t^3.63 + t^3.75 + t^3.87 + t^4.06 + t^4.19 + 4*t^4.5 + 2*t^4.81 + t^5.13 + 2*t^5.25 + 4*t^5.56 + t^5.69 + 3*t^5.88 + t^6.12 + t^6.19 + 2*t^6.31 + t^6.44 + 4*t^6.63 + 6*t^6.75 + t^6.87 + 2*t^6.94 + 4*t^7.06 + t^7.26 + t^7.31 + 3*t^7.38 + 3*t^7.5 + 2*t^7.69 + t^7.74 + 6*t^7.81 + t^8.06 + 6*t^8.13 - 2*t^8.25 + 2*t^8.37 + 3*t^8.44 + t^8.56 + t^8.76 + 5*t^8.88 - t^4.5/y - t^6.75/y + t^7.19/y + t^7.5/y + t^7.81/y + (3*t^8.25)/y + (5*t^8.56)/y + (2*t^8.69)/y + (4*t^8.88)/y - t^4.5*y - t^6.75*y + t^7.19*y + t^7.5*y + t^7.81*y + 3*t^8.25*y + 5*t^8.56*y + 2*t^8.69*y + 4*t^8.88*y | 2*t^2.25 + g1*t^2.56 + t^3. + 2*g1*t^3.31 + t^3.44/g1 + g1^2*t^3.63 + t^3.75 + t^3.87/g1^2 + g1*t^4.06 + t^4.19/g1 + 4*t^4.5 + 2*g1*t^4.81 + g1^2*t^5.13 + 2*t^5.25 + 4*g1*t^5.56 + t^5.69/g1 + 3*g1^2*t^5.88 + t^6.12/g1^2 + g1^3*t^6.19 + 2*g1*t^6.31 + t^6.44/g1 + 4*g1^2*t^6.63 + 6*t^6.75 + t^6.87/g1^2 + 2*g1^3*t^6.94 + 4*g1*t^7.06 + g1^4*t^7.26 + t^7.31/g1^3 + 3*g1^2*t^7.38 + 3*t^7.5 + 2*g1^3*t^7.69 + t^7.74/g1^4 + 6*g1*t^7.81 + t^8.06/g1^3 + 6*g1^2*t^8.13 - 2*t^8.25 + (2*t^8.37)/g1^2 + 3*g1^3*t^8.44 + g1*t^8.56 + g1^4*t^8.76 + 5*g1^2*t^8.88 - t^4.5/y - t^6.75/y + t^7.19/(g1*y) + t^7.5/y + (g1*t^7.81)/y + (3*t^8.25)/y + (5*g1*t^8.56)/y + (2*t^8.69)/(g1*y) + (4*g1^2*t^8.88)/y - t^4.5*y - t^6.75*y + (t^7.19*y)/g1 + t^7.5*y + g1*t^7.81*y + 3*t^8.25*y + 5*g1*t^8.56*y + (2*t^8.69*y)/g1 + 4*g1^2*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 |
|---|---|---|---|---|---|---|---|---|
| 46334 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_1M_3$ | 0.6379 | 0.8098 | 0.7878 | [X:[], M:[1.125, 0.75, 0.875], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 2*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.38 + 3*t^3.75 + 2*t^4.12 + 4*t^4.5 + 4*t^4.88 + 5*t^5.25 + 4*t^5.62 + 5*t^6. - t^4.5/y - t^4.5*y | detail | {a: 2613/4096, c: 3317/4096, M1: 9/8, M2: 3/4, M3: 7/8, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |
| 46327 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_2M_3$ | 0.6085 | 0.7582 | 0.8026 | [X:[], M:[1.105, 0.75, 1.25], q:[0.75, 0.395], qb:[0.355, 0.5], phi:[0.5]] | t^2.25 + t^2.56 + t^3. + 2*t^3.31 + t^3.44 + t^3.63 + 2*t^3.75 + t^3.87 + t^4.06 + t^4.19 + 2*t^4.5 + t^4.81 + t^5.13 + t^5.25 + 2*t^5.56 + 2*t^5.88 - t^4.5/y - t^4.5*y | detail | |
| 46098 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1q_2^2$ | 0.6481 | 0.8329 | 0.7781 | [X:[], M:[1.0975, 0.75, 0.6949], q:[0.75, 0.4025], qb:[0.3475, 0.5], phi:[0.5]] | t^2.08 + 2*t^2.25 + t^2.54 + t^3. + 2*t^3.29 + t^3.46 + t^3.58 + t^3.75 + t^4.04 + t^4.17 + t^4.21 + 2*t^4.33 + 4*t^4.5 + t^4.63 + 2*t^4.79 + 2*t^5.08 + 2*t^5.25 + 2*t^5.38 + 5*t^5.54 + t^5.67 + t^5.71 + 4*t^5.83 - t^4.5/y - t^4.5*y | detail | |
| 46175 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6458 | 0.8255 | 0.7823 | [X:[], M:[1.1253, 0.75, 0.7495], q:[0.75, 0.3747], qb:[0.3753, 0.5], phi:[0.5]] | 3*t^2.25 + t^2.63 + t^3. + t^3.37 + 2*t^3.38 + 2*t^3.75 + t^4.12 + t^4.13 + 7*t^4.5 + t^4.87 + 2*t^4.88 + 4*t^5.25 + 4*t^5.62 + 4*t^5.63 + 4*t^6. - t^4.5/y - t^4.5*y | detail | |
| 46294 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ | 0.6466 | 0.8276 | 0.7814 | [X:[], M:[1.105, 0.75, 0.75], q:[0.75, 0.395], qb:[0.355, 0.5], phi:[0.5]] | 3*t^2.25 + t^2.56 + t^3. + 2*t^3.31 + t^3.44 + t^3.63 + t^3.87 + t^4.06 + t^4.19 + 7*t^4.5 + 3*t^4.81 + t^5.13 + 3*t^5.25 + 6*t^5.56 + 2*t^5.69 + 4*t^5.88 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 46226 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.6156 | 0.7719 | 0.7976 | [X:[], M:[1.125, 0.75, 1.125], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 2*t^2.25 + t^3. + 4*t^3.38 + 3*t^3.75 + 2*t^4.12 + 4*t^4.5 + 2*t^5.25 + 6*t^5.62 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 5043/8192, c: 6323/8192, M1: 9/8, M2: 3/4, M3: 9/8, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |
| 46077 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_1^3$ | 0.6268 | 0.7908 | 0.7925 | [X:[], M:[1.125, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 2*t^2.25 + t^2.62 + t^3. + 3*t^3.38 + 3*t^3.75 + 2*t^4.12 + 4*t^4.5 + 2*t^4.88 + 3*t^5.25 + 5*t^5.62 + 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 10269/16384, c: 12957/16384, M1: 9/8, M2: 3/4, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45938 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ | 0.6363 | 0.8038 | 0.7916 | [X:[], M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.392, 0.4275], phi:[0.5]] | t^2.03 + t^2.46 + t^2.47 + t^3. + 2*t^3.43 + t^3.53 + t^3.54 + t^3.85 + t^3.96 + 2*t^4.06 + t^4.07 + t^4.08 + t^4.49 + t^4.5 + t^4.92 + t^4.93 + t^4.94 + t^5.03 + 3*t^5.46 + t^5.47 + t^5.56 + t^5.57 + 2*t^5.88 + t^5.89 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |