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 |
|---|---|---|---|---|---|---|---|---|---|
| 1959 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_2M_5$ + $ M_3q_1q_2$ | 0.6343 | 0.8062 | 0.7868 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 0.9167], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1299/2048, c: 1651/2048, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 11/12, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3M_5$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_1M_3$, $ M_5\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_5q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$ | 2 | 2*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 4*t^5.75 + 2*t^6. + 4*t^6.25 + 4*t^6.5 + 8*t^6.75 + 6*t^7. + 5*t^7.25 + 7*t^7.5 + 5*t^7.75 + 8*t^8. + 4*t^8.25 + 6*t^8.5 + 3*t^8.75 - t^4.5/y - t^6.75/y + t^7.5/y + (2*t^7.75)/y + (2*t^8.)/y + (4*t^8.25)/y + (3*t^8.5)/y + (6*t^8.75)/y - t^4.5*y - t^6.75*y + t^7.5*y + 2*t^7.75*y + 2*t^8.*y + 4*t^8.25*y + 3*t^8.5*y + 6*t^8.75*y | 2*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 4*t^5.75 + 2*t^6. + 4*t^6.25 + 4*t^6.5 + 8*t^6.75 + 6*t^7. + 5*t^7.25 + 7*t^7.5 + 5*t^7.75 + 8*t^8. + 4*t^8.25 + 6*t^8.5 + 3*t^8.75 - t^4.5/y - t^6.75/y + t^7.5/y + (2*t^7.75)/y + (2*t^8.)/y + (4*t^8.25)/y + (3*t^8.5)/y + (6*t^8.75)/y - t^4.5*y - t^6.75*y + t^7.5*y + 2*t^7.75*y + 2*t^8.*y + 4*t^8.25*y + 3*t^8.5*y + 6*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 |
|---|---|---|---|---|---|---|---|---|
| 3012 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_2M_5$ + $ M_3q_1q_2$ + $ M_1M_6$ | 0.6486 | 0.8309 | 0.7806 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 0.9167, 0.8333], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | 2*t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 4*t^4.75 + 5*t^5. + 4*t^5.25 + 4*t^5.5 + 3*t^5.75 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 3985/6144, c: 5105/6144, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 11/12, M6: 5/6, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| 3007 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_2M_5$ + $ M_3q_1q_2$ + $ M_3M_6$ | 0.6152 | 0.7715 | 0.7975 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 0.9167, 1.25], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^3.75 + 2*t^4. + t^4.25 + 2*t^4.5 + t^4.75 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + 2*t^5.75 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 315/512, c: 395/512, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 11/12, M6: 5/4, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| 3013 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_2M_5$ + $ M_3q_1q_2$ + $ M_4M_6$ | 0.62 | 0.7814 | 0.7934 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 0.9167, 1.1667], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | 2*t^2.25 + t^2.75 + t^3. + t^3.25 + 3*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^5. + 2*t^5.25 + 2*t^5.5 + 5*t^5.75 - t^4.5/y - t^4.5*y | detail | {a: 3809/6144, c: 4801/6144, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 11/12, M6: 7/6, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| 3014 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_2M_5$ + $ M_3q_1q_2$ + $ M_6q_1q_2$ | 0.6533 | 0.8408 | 0.777 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 0.9167, 0.75], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | 3*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^4.75 + 4*t^5. + 4*t^5.25 + 4*t^5.5 + 6*t^5.75 - t^4.5/y - t^4.5*y | detail | {a: 669/1024, c: 861/1024, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 11/12, M6: 3/4, q1: 3/4, q2: 1/2, qb1: 1/3, qb2: 5/12, phi1: 1/2} |
| 3010 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_2M_5$ + $ M_3q_1q_2$ + $ M_6q_1\tilde{q}_1$ | 0.6419 | 0.819 | 0.7838 | [X:[], M:[1.1667, 1.0833, 0.75, 0.8333, 0.9167, 0.9167], q:[0.75, 0.5], qb:[0.3333, 0.4167], phi:[0.5]] | 2*t^2.25 + t^2.5 + 2*t^2.75 + t^3. + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + 5*t^5. + 4*t^5.25 + 3*t^5.5 + 4*t^5.75 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 493/768, c: 629/768, M1: 7/6, M2: 13/12, M3: 3/4, M4: 5/6, M5: 11/12, M6: 11/12, q1: 3/4, q2: 1/2, qb1: 1/3, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 642 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_2M_5$ | 0.6438 | 0.8203 | 0.7848 | [X:[], M:[1.2163, 1.1082, 0.6755, 0.7837, 0.8918], q:[0.75, 0.4255], qb:[0.3582, 0.4663], phi:[0.5]] | t^2.03 + t^2.35 + t^2.47 + t^2.68 + t^3. + t^3.32 + t^3.53 + 2*t^3.65 + t^3.85 + 2*t^4.05 + t^4.18 + t^4.3 + t^4.38 + t^4.5 + 2*t^4.7 + t^4.82 + t^4.95 + 2*t^5.03 + t^5.15 + 3*t^5.35 + t^5.47 + t^5.55 + 3*t^5.68 + t^5.88 + t^6. - t^4.5/y - t^4.5*y | detail |