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 |
|---|---|---|---|---|---|---|---|---|---|
| 46402 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ | 0.6297 | 0.7927 | 0.7943 | [X:[], M:[1.0978, 0.8043, 0.7935, 1.1957], q:[0.75, 0.4565], qb:[0.3478, 0.4457], phi:[0.5]] | [X:[], M:[[1], [-2], [3], [2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2M_3$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_3q_1\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ M_3M_4$, $ M_3q_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_2q_1\tilde{q}_2$ | -1 | 2*t^2.38 + t^2.41 + t^3. + 2*t^3.29 + 2*t^3.59 + t^3.88 + t^3.91 + t^4.17 + t^4.21 + t^4.24 + 3*t^4.76 + 2*t^4.79 + t^4.83 + 2*t^5.38 + t^5.41 + 3*t^5.67 + t^5.71 + 3*t^5.97 - t^6. - t^6.03 + 2*t^6.26 + 2*t^6.29 + 2*t^6.55 + 5*t^6.59 + t^6.62 + t^6.65 + 3*t^6.88 - t^6.91 + 4*t^7.14 + 6*t^7.17 + t^7.21 + t^7.24 + 2*t^7.47 + 5*t^7.76 + t^7.79 + t^7.83 + 5*t^8.05 + t^8.09 + t^8.12 + t^8.15 + 5*t^8.35 - 2*t^8.38 - 2*t^8.41 + t^8.48 + 3*t^8.64 + 2*t^8.67 - t^8.71 + 3*t^8.94 + 6*t^8.97 - t^4.5/y - t^6.88/y + t^7.21/y + t^7.76/y + t^7.79/y + t^8.12/y + (2*t^8.38)/y + t^8.41/y + (4*t^8.67)/y + (2*t^8.71)/y + (4*t^8.97)/y - t^4.5*y - t^6.88*y + t^7.21*y + t^7.76*y + t^7.79*y + t^8.12*y + 2*t^8.38*y + t^8.41*y + 4*t^8.67*y + 2*t^8.71*y + 4*t^8.97*y | 2*g1^3*t^2.38 + t^2.41/g1^2 + t^3. + 2*g1*t^3.29 + 2*g1^2*t^3.59 + g1^3*t^3.88 + t^3.91/g1^2 + g1^4*t^4.17 + t^4.21/g1 + t^4.24/g1^6 + 3*g1^6*t^4.76 + 2*g1*t^4.79 + t^4.83/g1^4 + 2*g1^3*t^5.38 + t^5.41/g1^2 + 3*g1^4*t^5.67 + t^5.71/g1 + 3*g1^5*t^5.97 - t^6. - t^6.03/g1^5 + 2*g1^6*t^6.26 + 2*g1*t^6.29 + 2*g1^7*t^6.55 + 5*g1^2*t^6.59 + t^6.62/g1^3 + t^6.65/g1^8 + 3*g1^3*t^6.88 - t^6.91/g1^2 + 4*g1^9*t^7.14 + 6*g1^4*t^7.17 + t^7.21/g1 + t^7.24/g1^6 + 2*g1^5*t^7.47 + 5*g1^6*t^7.76 + g1*t^7.79 + t^7.83/g1^4 + 5*g1^7*t^8.05 + g1^2*t^8.09 + t^8.12/g1^3 + t^8.15/g1^8 + 5*g1^8*t^8.35 - 2*g1^3*t^8.38 - (2*t^8.41)/g1^2 + t^8.48/g1^12 + 3*g1^9*t^8.64 + 2*g1^4*t^8.67 - t^8.71/g1 + 3*g1^10*t^8.94 + 6*g1^5*t^8.97 - t^4.5/y - (g1^3*t^6.88)/y + t^7.21/(g1*y) + (g1^6*t^7.76)/y + (g1*t^7.79)/y + t^8.12/(g1^3*y) + (2*g1^3*t^8.38)/y + t^8.41/(g1^2*y) + (4*g1^4*t^8.67)/y + (2*t^8.71)/(g1*y) + (4*g1^5*t^8.97)/y - t^4.5*y - g1^3*t^6.88*y + (t^7.21*y)/g1 + g1^6*t^7.76*y + g1*t^7.79*y + (t^8.12*y)/g1^3 + 2*g1^3*t^8.38*y + (t^8.41*y)/g1^2 + 4*g1^4*t^8.67*y + (2*t^8.71*y)/g1 + 4*g1^5*t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 47207 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6503 | 0.8327 | 0.7809 | [X:[], M:[1.0968, 0.8063, 0.7905, 1.1937, 0.6937], q:[0.75, 0.4595], qb:[0.3468, 0.4437], phi:[0.5]] | t^2.08 + 2*t^2.37 + t^2.42 + t^3. + 2*t^3.29 + 2*t^3.58 + t^3.87 + 2*t^4.16 + t^4.21 + t^4.26 + 2*t^4.45 + t^4.5 + 3*t^4.74 + 2*t^4.79 + t^4.84 + t^5.08 + 4*t^5.37 + t^5.42 + 5*t^5.66 + t^5.71 + 4*t^5.95 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 24639/37888, c: 31551/37888, M1: 487/444, M2: 179/222, M3: 117/148, M4: 265/222, M5: 77/111, q1: 3/4, q2: 17/37, qb1: 77/222, qb2: 197/444, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46149 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_3q_1q_2$ + $ M_4q_2\tilde{q}_1$ | 0.6383 | 0.8085 | 0.7895 | [X:[], M:[1.1539, 0.6923, 0.7923, 1.1384], q:[0.75, 0.4577], qb:[0.4039, 0.3884], phi:[0.5]] | t^2.08 + 2*t^2.38 + t^3. + 2*t^3.42 + 2*t^3.46 + t^3.83 + t^3.88 + t^4.04 + t^4.08 + t^4.15 + t^4.25 + 2*t^4.45 + 3*t^4.75 + t^5.08 + 2*t^5.38 + 2*t^5.49 + 2*t^5.54 + 3*t^5.79 + 3*t^5.84 + t^5.91 - 3*t^6. - t^4.5/y - t^4.5*y | detail |