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 |
|---|---|---|---|---|---|---|---|---|---|
| 46140 | 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_4^2$ | 0.7077 | 0.8618 | 0.8212 | [X:[], M:[1.0, 0.8615, 1.0, 1.0], q:[0.5, 0.5], qb:[0.6385, 0.5], phi:[0.4654]] | [X:[], M:[[0, 1], [-4, 0], [0, -1], [0, 0]], q:[[0, 0], [0, -1]], qb:[[4, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_4$, $ M_3$, $ M_1$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_2\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$ | $M_1^2$, $ M_3^2$, $ M_1M_4$, $ M_3M_4$, $ M_2q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$ | -2 | t^2.58 + t^2.79 + 3*t^3. + 2*t^3.42 + 6*t^4.4 + 3*t^4.81 + t^5.17 + t^5.23 + t^5.38 + t^5.58 + 3*t^5.79 - 2*t^6. + 2*t^6.21 + 2*t^6.42 + 3*t^6.83 + 3*t^6.98 + 6*t^7.19 + 9*t^7.4 - 3*t^7.6 + t^7.75 + 10*t^7.81 + t^7.96 - 2*t^8.02 + 2*t^8.17 + 6*t^8.23 + t^8.38 - t^8.44 - 4*t^8.58 + 2*t^8.64 + 13*t^8.79 - t^4.4/y - t^6.98/y - t^7.19/y + t^7.6/y + t^7.81/y + t^8.38/y + (3*t^8.58)/y + (3*t^8.79)/y - t^4.4*y - t^6.98*y - t^7.19*y + t^7.6*y + t^7.81*y + t^8.38*y + 3*t^8.58*y + 3*t^8.79*y | t^2.58/g1^4 + t^2.79/g1^2 + t^3. + t^3./g2 + g2*t^3. + (g1^4*t^3.42)/g2 + g1^4*g2*t^3.42 + (2*t^4.4)/g1 + t^4.4/(g1*g2^2) + t^4.4/(g1*g2) + (g2*t^4.4)/g1 + (g2^2*t^4.4)/g1 + g1^3*t^4.81 + (g1^3*t^4.81)/g2 + g1^3*g2*t^4.81 + t^5.17/g1^8 + g1^7*t^5.23 + t^5.38/g1^6 + t^5.58/g1^4 + t^5.79/g1^2 + t^5.79/(g1^2*g2) + (g2*t^5.79)/g1^2 - 2*t^6. + (g1^2*t^6.21)/g2 + g1^2*g2*t^6.21 + (g1^4*t^6.42)/g2^2 + g1^4*g2^2*t^6.42 + g1^8*t^6.83 + (g1^8*t^6.83)/g2^2 + g1^8*g2^2*t^6.83 + t^6.98/g1^5 + t^6.98/(g1^5*g2^2) + (g2^2*t^6.98)/g1^5 + (2*t^7.19)/g1^3 + t^7.19/(g1^3*g2^2) + t^7.19/(g1^3*g2) + (g2*t^7.19)/g1^3 + (g2^2*t^7.19)/g1^3 + t^7.4/g1 + t^7.4/(g1*g2^3) + t^7.4/(g1*g2^2) + (2*t^7.4)/(g1*g2) + (2*g2*t^7.4)/g1 + (g2^2*t^7.4)/g1 + (g2^3*t^7.4)/g1 - g1*t^7.6 - (g1*t^7.6)/g2^2 - g1*g2^2*t^7.6 + t^7.75/g1^12 + 2*g1^3*t^7.81 + (g1^3*t^7.81)/g2^3 + (g1^3*t^7.81)/g2^2 + (2*g1^3*t^7.81)/g2 + 2*g1^3*g2*t^7.81 + g1^3*g2^2*t^7.81 + g1^3*g2^3*t^7.81 + t^7.96/g1^10 - (g1^5*t^8.02)/g2 - g1^5*g2*t^8.02 + (2*t^8.17)/g1^8 + 2*g1^7*t^8.23 + (g1^7*t^8.23)/g2^2 + (g1^7*t^8.23)/g2 + g1^7*g2*t^8.23 + g1^7*g2^2*t^8.23 + t^8.38/g1^6 - g1^9*t^8.44 - (2*t^8.58)/g1^4 - t^8.58/(g1^4*g2^2) - (g2^2*t^8.58)/g1^4 + (g1^11*t^8.64)/g2 + g1^11*g2*t^8.64 + t^8.79/g1^2 + t^8.79/(g1^2*g2^4) + t^8.79/(g1^2*g2^3) + (2*t^8.79)/(g1^2*g2^2) + (2*t^8.79)/(g1^2*g2) + (2*g2*t^8.79)/g1^2 + (2*g2^2*t^8.79)/g1^2 + (g2^3*t^8.79)/g1^2 + (g2^4*t^8.79)/g1^2 - t^4.4/(g1*y) - t^6.98/(g1^5*y) - t^7.19/(g1^3*y) + (g1*t^7.6)/y + (g1^3*t^7.81)/y + t^8.38/(g1^6*y) + t^8.58/(g1^4*y) + t^8.58/(g1^4*g2*y) + (g2*t^8.58)/(g1^4*y) + t^8.79/(g1^2*y) + t^8.79/(g1^2*g2*y) + (g2*t^8.79)/(g1^2*y) - (t^4.4*y)/g1 - (t^6.98*y)/g1^5 - (t^7.19*y)/g1^3 + g1*t^7.6*y + g1^3*t^7.81*y + (t^8.38*y)/g1^6 + (t^8.58*y)/g1^4 + (t^8.58*y)/(g1^4*g2) + (g2*t^8.58*y)/g1^4 + (t^8.79*y)/g1^2 + (t^8.79*y)/(g1^2*g2) + (g2*t^8.79*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46348 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_1\phi_1^2$ | 0.7023 | 0.8571 | 0.8194 | [X:[], M:[1.0459, 0.9082, 0.9541, 1.0], q:[0.5, 0.4541], qb:[0.5918, 0.5459], phi:[0.477]] | t^2.72 + 2*t^2.86 + t^3. + 2*t^3.14 + t^3.41 + t^4.16 + t^4.29 + 2*t^4.43 + 2*t^4.57 + 2*t^4.71 + t^4.84 + t^4.98 + t^5.45 + t^5.59 + 2*t^5.72 + t^5.86 + t^6. - t^4.43/y - t^4.43*y | detail | |
| 46663 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ M_5\phi_1^2$ | 0.7019 | 0.853 | 0.8229 | [X:[], M:[1.0, 0.8892, 1.0, 1.0, 1.0554], q:[0.5, 0.5], qb:[0.6108, 0.5], phi:[0.4723]] | t^2.67 + 3*t^3. + t^3.17 + 2*t^3.33 + 6*t^4.42 + 3*t^4.75 + t^5.08 + t^5.34 + t^5.83 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 46591 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ \phi_1q_2^2$ | 0.5908 | 0.7459 | 0.7921 | [X:[], M:[0.7408, 0.9267, 1.2592, 1.0], q:[0.5, 0.7592], qb:[0.5733, 0.2408], phi:[0.4817]] | t^2.22 + t^2.44 + t^2.78 + 2*t^2.89 + t^3. + t^3.67 + t^3.78 + t^3.89 + t^4. + 2*t^4.45 + 2*t^4.66 + 2*t^4.88 + 2*t^5.11 + t^5.22 + 2*t^5.33 + t^5.44 + t^5.56 + 2*t^5.67 + 3*t^5.78 + 2*t^5.89 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 46627 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4^2$ + $ \phi_1\tilde{q}_1^2$ | 0.691 | 0.8427 | 0.8199 | [X:[], M:[1.0, 0.7143, 1.0, 1.0], q:[0.5, 0.5], qb:[0.7857, 0.5], phi:[0.4286]] | t^2.14 + t^2.57 + 3*t^3. + 2*t^3.86 + 7*t^4.29 + t^4.71 + 4*t^5.14 + 3*t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 237/343, c: 4625/5488, M1: 1, M2: 5/7, M3: 1, M4: 1, q1: 1/2, q2: 1/2, qb1: 11/14, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46032 | 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$ | 0.7126 | 0.866 | 0.8228 | [X:[], M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.71 + t^2.73 + t^2.75 + 2*t^3. + 2*t^3.54 + t^4.12 + 2*t^4.36 + 3*t^4.61 + t^4.66 + 2*t^4.91 + t^5.2 + t^5.41 + t^5.44 + t^5.46 + t^5.48 + t^5.5 + 2*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail |