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 |
|---|---|---|---|---|---|---|---|---|---|
| 735 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_1\tilde{q}_1$ | 0.684 | 0.834 | 0.8201 | [X:[], M:[1.0, 0.8, 1.0, 0.8], q:[0.8, 0.6], qb:[0.4, 0.6], phi:[0.4]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 171/250, c: 417/500, M1: 1, M2: 4/5, M3: 1, M4: 4/5, q1: 4/5, q2: 3/5, qb1: 2/5, qb2: 3/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_3\phi_1^2$ | $M_1M_3$, $ M_2q_1\tilde{q}_1$ | 0 | 3*t^2.4 + 2*t^3. + t^3.6 + 4*t^4.2 + 9*t^4.8 + 4*t^5.4 + 6*t^6.6 + 20*t^7.2 + 8*t^7.8 - 2*t^8.4 - t^4.2/y - (3*t^6.6)/y + (6*t^7.8)/y + (6*t^8.4)/y - t^4.2*y - 3*t^6.6*y + 6*t^7.8*y + 6*t^8.4*y | 3*t^2.4 + 2*t^3. + t^3.6 + 4*t^4.2 + 9*t^4.8 + 4*t^5.4 + 6*t^6.6 + 20*t^7.2 + 8*t^7.8 - 2*t^8.4 - t^4.2/y - (3*t^6.6)/y + (6*t^7.8)/y + (6*t^8.4)/y - t^4.2*y - 3*t^6.6*y + 6*t^7.8*y + 6*t^8.4*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 |
|---|---|---|---|---|---|---|---|---|
| 1206 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ | 0.7005 | 0.863 | 0.8117 | [X:[], M:[1.0, 0.8, 1.0, 0.8, 0.8], q:[0.8, 0.6], qb:[0.4, 0.6], phi:[0.4]] | 4*t^2.4 + 2*t^3. + 4*t^4.2 + 13*t^4.8 + 6*t^5.4 - 3*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1401/2000, c: 863/1000, M1: 1, M2: 4/5, M3: 1, M4: 4/5, M5: 4/5, q1: 4/5, q2: 3/5, qb1: 2/5, qb2: 3/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 440 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6973 | 0.8533 | 0.8172 | [X:[], M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], phi:[0.416]] | t^2.02 + t^2.5 + t^2.74 + 2*t^3. + t^3.74 + 2*t^4.01 + t^4.03 + 2*t^4.25 + 4*t^4.51 + t^4.75 + t^4.99 + 2*t^5.02 + t^5.23 + t^5.47 + 2*t^5.5 + t^5.76 - 2*t^6. - t^4.25/y - t^4.25*y | detail |