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 |
|---|---|---|---|---|---|---|---|---|---|
| 4319 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ \phi_1q_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6728 | 0.8534 | 0.7884 | [X:[], M:[0.8889, 0.7778, 1.0, 1.2222, 0.8889, 0.7778, 0.7778], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 109/162, c: 553/648, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 8/9, M6: 7/9, M7: 7/9, q1: 7/9, q2: 1/3, qb1: 4/9, qb2: 2/3, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_7$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_2M_7$, $ M_6M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_1M_7$, $ M_5M_7$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_3M_6$, $ M_3M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$ | $M_5\phi_1q_2^2$, $ \phi_1^3q_2^2$ | 0 | 3*t^2.33 + 3*t^2.67 + t^3. + t^3.33 + t^4. + 2*t^4.33 + 7*t^4.67 + 8*t^5. + 9*t^5.33 + 5*t^5.67 + 5*t^6.67 + 13*t^7. + 15*t^7.33 + 20*t^7.67 + 18*t^8. - 3*t^8.67 - t^4.33/y - (2*t^6.67)/y - (3*t^7.)/y + (6*t^7.67)/y + (11*t^8.)/y + (6*t^8.33)/y + (6*t^8.67)/y - t^4.33*y - 2*t^6.67*y - 3*t^7.*y + 6*t^7.67*y + 11*t^8.*y + 6*t^8.33*y + 6*t^8.67*y | 3*t^2.33 + 3*t^2.67 + t^3. + t^3.33 + t^4. + 2*t^4.33 + 7*t^4.67 + 8*t^5. + 9*t^5.33 + 5*t^5.67 + 5*t^6.67 + 13*t^7. + 15*t^7.33 + 20*t^7.67 + 18*t^8. - 3*t^8.67 - t^4.33/y - (2*t^6.67)/y - (3*t^7.)/y + (6*t^7.67)/y + (11*t^8.)/y + (6*t^8.33)/y + (6*t^8.67)/y - t^4.33*y - 2*t^6.67*y - 3*t^7.*y + 6*t^7.67*y + 11*t^8.*y + 6*t^8.33*y + 6*t^8.67*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 |
|---|---|---|---|---|---|---|---|---|
| 5768 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ \phi_1q_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_8\phi_1q_2^2$ | 0.6829 | 0.8704 | 0.7846 | [X:[], M:[0.8889, 0.7778, 1.0, 1.2222, 0.8889, 0.7778, 0.7778, 0.8889], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | 3*t^2.33 + 4*t^2.67 + t^3. + t^4. + 2*t^4.33 + 7*t^4.67 + 11*t^5. + 13*t^5.33 + 3*t^5.67 - 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 295/432, c: 47/54, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 8/9, M6: 7/9, M7: 7/9, M8: 8/9, q1: 7/9, q2: 1/3, qb1: 4/9, qb2: 2/3, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2327 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ \phi_1q_1^2$ | 0.6551 | 0.8218 | 0.7972 | [X:[], M:[0.8889, 0.7778, 1.0, 1.2222, 0.8889, 0.7778], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | 2*t^2.33 + 3*t^2.67 + t^3. + t^3.33 + t^3.67 + t^4. + 2*t^4.33 + 4*t^4.67 + 5*t^5. + 8*t^5.33 + 4*t^5.67 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 283/432, c: 355/432, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 8/9, M6: 7/9, q1: 7/9, q2: 1/3, qb1: 4/9, qb2: 2/3, phi1: 4/9} |