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 |
|---|---|---|---|---|---|---|---|---|---|
| 2376 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ \phi_1q_1^2$ | 0.5697 | 0.7113 | 0.8008 | [X:[], M:[1.0, 1.0667, 0.8667, 0.7333, 1.1333, 1.2667], q:[0.7667, 0.2333], qb:[0.5, 0.6333], phi:[0.4667]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1709/3000, c: 1067/1500, M1: 1, M2: 16/15, M3: 13/15, M4: 11/15, M5: 17/15, M6: 19/15, q1: 23/30, q2: 7/30, qb1: 1/2, qb2: 19/30, phi1: 7/15} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1q_2^2$, $ M_3^2$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ M_4M_5$, $ \phi_1^2q_2^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_4\phi_1q_2\tilde{q}_1$ | . | 0 | t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + t^5. + 2*t^5.2 + 2*t^5.4 + 2*t^5.6 + 2*t^5.8 + 2*t^6.2 + 2*t^6.4 + 3*t^6.6 + 2*t^6.8 + 2*t^7. + 3*t^7.2 + 2*t^7.4 + 2*t^7.6 + 3*t^7.8 + 4*t^8. + 2*t^8.2 + 3*t^8.4 + t^8.6 + t^8.8 - t^4.4/y + t^7.8/y + t^8./y + t^8.2/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y + t^7.8*y + t^8.*y + t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 3*t^8.8*y | t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + t^5. + 2*t^5.2 + 2*t^5.4 + 2*t^5.6 + 2*t^5.8 + 2*t^6.2 + 2*t^6.4 + 3*t^6.6 + 2*t^6.8 + 2*t^7. + 3*t^7.2 + 2*t^7.4 + 2*t^7.6 + 3*t^7.8 + 4*t^8. + 2*t^8.2 + 3*t^8.4 + t^8.6 + t^8.8 - t^4.4/y + t^7.8/y + t^8./y + t^8.2/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y + t^7.8*y + t^8.*y + t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 3*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 4376 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_3M_7$ | 0.5578 | 0.6912 | 0.8071 | [X:[], M:[1.0, 1.0667, 0.8667, 0.7333, 1.1333, 1.2667, 1.1333], q:[0.7667, 0.2333], qb:[0.5, 0.6333], phi:[0.4667]] | t^2.2 + t^2.8 + t^3. + t^3.2 + 2*t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^5. + t^5.2 + t^5.4 + 2*t^5.6 + t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 3347/6000, c: 4147/6000, M1: 1, M2: 16/15, M3: 13/15, M4: 11/15, M5: 17/15, M6: 19/15, M7: 17/15, q1: 23/30, q2: 7/30, qb1: 1/2, qb2: 19/30, phi1: 7/15} |
| 4378 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_5M_7$ | 0.5815 | 0.7315 | 0.7949 | [X:[], M:[1.0, 1.0667, 0.8667, 0.7333, 1.1333, 1.2667, 0.8667], q:[0.7667, 0.2333], qb:[0.5, 0.6333], phi:[0.4667]] | t^2.2 + 2*t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + 2*t^4.8 + t^5. + 4*t^5.2 + 3*t^5.4 + 2*t^5.6 + 3*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 1163/2000, c: 1463/2000, M1: 1, M2: 16/15, M3: 13/15, M4: 11/15, M5: 17/15, M6: 19/15, M7: 13/15, q1: 23/30, q2: 7/30, qb1: 1/2, qb2: 19/30, phi1: 7/15} |
| 4379 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.5862 | 0.7403 | 0.7918 | [X:[], M:[1.0, 1.0667, 0.8667, 0.7333, 1.1333, 1.2667, 0.8], q:[0.7667, 0.2333], qb:[0.5, 0.6333], phi:[0.4667]] | t^2.2 + t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + 2*t^5. + 3*t^5.2 + 3*t^5.4 + 3*t^5.6 + 2*t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 3517/6000, c: 2221/3000, M1: 1, M2: 16/15, M3: 13/15, M4: 11/15, M5: 17/15, M6: 19/15, M7: 4/5, q1: 23/30, q2: 7/30, qb1: 1/2, qb2: 19/30, phi1: 7/15} |
| 4377 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ \phi_1q_1^2$ + $ M_7\phi_1q_2^2$ | 0.5635 | 0.701 | 0.8039 | [X:[], M:[1.0, 1.0667, 0.8667, 0.7333, 1.1333, 1.2667, 1.0667], q:[0.7667, 0.2333], qb:[0.5, 0.6333], phi:[0.4667]] | t^2.2 + t^2.6 + t^3. + 2*t^3.2 + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + 2*t^5.2 + 2*t^5.4 + t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 1127/2000, c: 701/1000, M1: 1, M2: 16/15, M3: 13/15, M4: 11/15, M5: 17/15, M6: 19/15, M7: 16/15, q1: 23/30, q2: 7/30, qb1: 1/2, qb2: 19/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1323 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ | 0.6917 | 0.8473 | 0.8164 | [X:[], M:[1.0, 1.0032, 0.9935, 0.987, 1.0065, 1.013], q:[0.513, 0.487], qb:[0.5, 0.5065], phi:[0.4984]] | t^2.96 + t^2.98 + t^3. + t^3.01 + t^3.02 + t^3.04 + t^3.06 + t^4.42 + t^4.46 + t^4.48 + 2*t^4.5 + t^4.51 + 2*t^4.53 + t^4.55 + t^4.57 + t^5.97 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |