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 |
|---|---|---|---|---|---|---|---|---|---|
| 3921 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ + $ M_3M_5$ + $ M_6\phi_1q_2^2$ + $ M_1M_6$ + $ M_2X_1$ | 0.6229 | 0.7843 | 0.7941 | [X:[1.3333], M:[1.1667, 0.6667, 0.75, 0.9167, 1.25, 0.8333], q:[0.75, 0.3333], qb:[0.5, 0.4167], phi:[0.5]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3827/6144, c: 4819/6144, X1: 4/3, M1: 7/6, M2: 2/3, M3: 3/4, M4: 11/12, M5: 5/4, M6: 5/6, q1: 3/4, q2: 1/3, qb1: 1/2, qb2: 5/12, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ M_6$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_5$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_6q_2\tilde{q}_2$, $ M_6^2$, $ M_4q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_4M_6$, $ \phi_1^2q_2\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_6\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_6q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$ | 1 | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + 2*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 2*t^5.75 + t^6. + 4*t^6.25 + 5*t^6.5 + 5*t^6.75 + 4*t^7. + 4*t^7.25 + 6*t^7.5 + 5*t^7.75 + 7*t^8. + 5*t^8.25 + 3*t^8.5 - t^4.5/y - t^7.25/y + (2*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (2*t^8.5)/y + (4*t^8.75)/y - t^4.5*y - t^7.25*y + 2*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 2*t^8.5*y + 4*t^8.75*y | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + 2*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 2*t^5.75 + t^6. + 4*t^6.25 + 5*t^6.5 + 5*t^6.75 + 4*t^7. + 4*t^7.25 + 6*t^7.5 + 5*t^7.75 + 7*t^8. + 5*t^8.25 + 3*t^8.5 - t^4.5/y - t^7.25/y + (2*t^7.75)/y + (2*t^8.)/y + (3*t^8.25)/y + (2*t^8.5)/y + (4*t^8.75)/y - t^4.5*y - t^7.25*y + 2*t^7.75*y + 2*t^8.*y + 3*t^8.25*y + 2*t^8.5*y + 4*t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 5490 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ + $ M_3M_5$ + $ M_6\phi_1q_2^2$ + $ M_1M_6$ + $ M_2X_1$ + $ M_6M_7$ | 0.6086 | 0.7596 | 0.8012 | [X:[1.3333], M:[1.1667, 0.6667, 0.75, 0.9167, 1.25, 0.8333, 1.1667], q:[0.75, 0.3333], qb:[0.5, 0.4167], phi:[0.5]] | t^2.25 + 2*t^2.75 + t^3. + 3*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + 2*t^5. + t^5.25 + 2*t^5.5 + 3*t^5.75 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 3739/6144, c: 4667/6144, X1: 4/3, M1: 7/6, M2: 2/3, M3: 3/4, M4: 11/12, M5: 5/4, M6: 5/6, M7: 7/6, q1: 3/4, q2: 1/3, qb1: 1/2, qb2: 5/12, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3644 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1q_2$ + $ M_3M_5$ + $ M_6\phi_1q_2^2$ | 0.6587 | 0.8488 | 0.776 | [X:[], M:[1.1039, 0.7922, 0.75, 0.8539, 1.25, 0.7078], q:[0.75, 0.3961], qb:[0.5, 0.3539], phi:[0.5]] | t^2.12 + t^2.25 + t^2.38 + 2*t^2.56 + t^3. + 2*t^3.31 + 2*t^3.75 + t^4.06 + t^4.19 + t^4.25 + t^4.37 + 3*t^4.5 + t^4.63 + 2*t^4.68 + t^4.75 + 2*t^4.81 + 2*t^4.94 + 4*t^5.12 + t^5.25 + t^5.38 + 2*t^5.43 + 3*t^5.56 + t^5.69 + 5*t^5.87 - t^6. - t^4.5/y - t^4.5*y | detail |