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 |
|---|---|---|---|---|---|---|---|---|---|
| 46558 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ \phi_1^3\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.603 | 0.753 | 0.8008 | [X:[], M:[0.8, 1.0, 0.8], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | [X:[], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 603/1000, c: 753/1000, M1: 4/5, M2: 1, M3: 4/5, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_1q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ | $M_3\phi_1\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | 2 | 4*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 11*t^4.8 + 6*t^5.4 + 2*t^6. + 4*t^6.6 + 20*t^7.2 + 10*t^7.8 - t^8.4 - t^4.2/y - (3*t^6.6)/y + (9*t^7.8)/y + (8*t^8.4)/y - t^4.2*y - 3*t^6.6*y + 9*t^7.8*y + 8*t^8.4*y | 4*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 11*t^4.8 + 6*t^5.4 + 2*t^6. + 4*t^6.6 + 20*t^7.2 + 10*t^7.8 - t^8.4 - t^4.2/y - (3*t^6.6)/y + (9*t^7.8)/y + (8*t^8.4)/y - t^4.2*y - 3*t^6.6*y + 9*t^7.8*y + 8*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 |
|---|---|---|---|---|---|---|---|---|
| 48194 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ \phi_1^3\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6195 | 0.782 | 0.7922 | [X:[], M:[0.8, 1.0, 0.8, 0.8], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | 5*t^2.4 + 2*t^3. + 2*t^4.2 + 16*t^4.8 + 8*t^5.4 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1239/2000, c: 391/500, M1: 4/5, M2: 1, M3: 4/5, M4: 4/5, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46222 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2^2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ \phi_1^3\tilde{q}_1^2$ | 0.5865 | 0.724 | 0.8101 | [X:[], M:[0.8, 1.0], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | 3*t^2.4 + 2*t^3. + 2*t^3.6 + 2*t^4.2 + 7*t^4.8 + 4*t^5.4 + 4*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1173/2000, c: 181/250, M1: 4/5, M2: 1, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |