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 |
|---|---|---|---|---|---|---|---|---|---|
| 4482 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_6^2$ + $ M_4X_1$ | 0.6366 | 0.8032 | 0.7925 | [X:[1.4444], M:[1.0, 0.7778, 1.2222, 0.5556, 0.7778, 1.0, 0.7778], q:[0.2778, 0.7222], qb:[0.5, 0.7222], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 275/432, c: 347/432, X1: 13/9, M1: 1, M2: 7/9, M3: 11/9, M4: 5/9, M5: 7/9, M6: 1, M7: 7/9, q1: 5/18, q2: 13/18, qb1: 1/2, qb2: 13/18, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_2M_7$, $ M_5M_7$, $ M_7^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ M_2M_6$, $ M_5M_6$, $ M_1M_7$, $ M_6M_7$, $ \phi_1^4$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $M_1M_6$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | 1 | 3*t^2.33 + t^2.67 + 3*t^3. + t^3.67 + 4*t^4.33 + 4*t^4.67 + 5*t^5. + 7*t^5.33 + 6*t^5.67 + t^6. + 6*t^6.67 + 7*t^7. + 12*t^7.33 + 8*t^7.67 + 16*t^8. + 9*t^8.67 - t^4.33/y - (2*t^6.67)/y - t^7./y + (4*t^7.67)/y + (5*t^8.)/y + (9*t^8.33)/y + (3*t^8.67)/y - t^4.33*y - 2*t^6.67*y - t^7.*y + 4*t^7.67*y + 5*t^8.*y + 9*t^8.33*y + 3*t^8.67*y | 3*t^2.33 + t^2.67 + 3*t^3. + t^3.67 + 4*t^4.33 + 4*t^4.67 + 5*t^5. + 7*t^5.33 + 6*t^5.67 + t^6. + 6*t^6.67 + 7*t^7. + 12*t^7.33 + 8*t^7.67 + 16*t^8. + 9*t^8.67 - t^4.33/y - (2*t^6.67)/y - t^7./y + (4*t^7.67)/y + (5*t^8.)/y + (9*t^8.33)/y + (3*t^8.67)/y - t^4.33*y - 2*t^6.67*y - t^7.*y + 4*t^7.67*y + 5*t^8.*y + 9*t^8.33*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 5982 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_6^2$ + $ M_4X_1$ + $ M_2M_8$ | 0.6188 | 0.7716 | 0.802 | [X:[1.4444], M:[1.0, 0.7778, 1.2222, 0.5556, 0.7778, 1.0, 0.7778, 1.2222], q:[0.2778, 0.7222], qb:[0.5, 0.7222], phi:[0.4444]] | 2*t^2.33 + t^2.67 + 3*t^3. + 2*t^3.67 + 4*t^4.33 + t^4.67 + 4*t^5. + 4*t^5.33 + 6*t^5.67 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 401/648, c: 125/162, X1: 13/9, M1: 1, M2: 7/9, M3: 11/9, M4: 5/9, M5: 7/9, M6: 1, M7: 7/9, M8: 11/9, q1: 5/18, q2: 13/18, qb1: 1/2, qb2: 13/18, phi1: 4/9} |
| 5983 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_6^2$ + $ M_4X_1$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6543 | 0.8349 | 0.7837 | [X:[1.4444], M:[1.0, 0.7778, 1.2222, 0.5556, 0.7778, 1.0, 0.7778, 0.7778], q:[0.2778, 0.7222], qb:[0.5, 0.7222], phi:[0.4444]] | 4*t^2.33 + t^2.67 + 3*t^3. + 4*t^4.33 + 8*t^4.67 + 6*t^5. + 10*t^5.33 + 6*t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 53/81, c: 541/648, X1: 13/9, M1: 1, M2: 7/9, M3: 11/9, M4: 5/9, M5: 7/9, M6: 1, M7: 7/9, M8: 7/9, q1: 5/18, q2: 13/18, qb1: 1/2, qb2: 13/18, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2442 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_1^2$ + $ M_7q_2\tilde{q}_1$ | 0.7362 | 0.9263 | 0.7947 | [X:[], M:[1.0, 0.9151, 1.0849, 0.8303, 0.9151, 0.6909, 0.9151], q:[0.4151, 0.5849], qb:[0.5, 0.5849], phi:[0.4788]] | t^2.07 + t^2.49 + 3*t^2.75 + t^2.87 + 2*t^3. + t^4.15 + t^4.18 + 3*t^4.44 + t^4.56 + 2*t^4.69 + 3*t^4.82 + 4*t^4.95 + t^4.98 + 2*t^5.07 + 3*t^5.24 + t^5.36 + 6*t^5.49 + 3*t^5.62 + 4*t^5.75 + 2*t^5.87 - 3*t^6. - t^4.44/y - t^4.44*y | detail |