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 |
|---|---|---|---|---|---|---|---|---|---|
| 4509 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_2\phi_1^2$ | 0.6914 | 0.8511 | 0.8123 | [X:[], M:[0.6667, 1.1111, 0.8889, 0.8889, 1.0, 0.7778, 1.3333], q:[0.7222, 0.6111], qb:[0.3889, 0.5], phi:[0.4444]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 56/81, c: 1103/1296, M1: 2/3, M2: 10/9, M3: 8/9, M4: 8/9, M5: 1, M6: 7/9, M7: 4/3, q1: 13/18, q2: 11/18, qb1: 7/18, qb2: 1/2, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_4$, $ \phi_1^2$, $ M_5$, $ M_2$, $ q_1\tilde{q}_2$, $ M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_3M_5$, $ M_4M_5$, $ M_2M_6$, $ M_5\phi_1^2$, $ \phi_1q_1^2$ | $M_2M_4$ | 1 | t^2.33 + 3*t^2.67 + t^3. + t^3.33 + t^3.67 + 2*t^4. + 2*t^4.33 + 3*t^4.67 + 4*t^5. + 6*t^5.33 + 2*t^5.67 + t^6. + 2*t^6.33 + 5*t^6.67 + 6*t^7. + 9*t^7.33 + 8*t^7.67 + 10*t^8. + 3*t^8.33 + t^8.67 - t^4.33/y - t^6.67/y - (2*t^7.)/y + (2*t^7.67)/y + (4*t^8.)/y + (4*t^8.33)/y + (4*t^8.67)/y - t^4.33*y - t^6.67*y - 2*t^7.*y + 2*t^7.67*y + 4*t^8.*y + 4*t^8.33*y + 4*t^8.67*y | t^2.33 + 3*t^2.67 + t^3. + t^3.33 + t^3.67 + 2*t^4. + 2*t^4.33 + 3*t^4.67 + 4*t^5. + 6*t^5.33 + 2*t^5.67 + t^6. + 2*t^6.33 + 5*t^6.67 + 6*t^7. + 9*t^7.33 + 8*t^7.67 + 10*t^8. + 3*t^8.33 + t^8.67 - t^4.33/y - t^6.67/y - (2*t^7.)/y + (2*t^7.67)/y + (4*t^8.)/y + (4*t^8.33)/y + (4*t^8.67)/y - t^4.33*y - t^6.67*y - 2*t^7.*y + 2*t^7.67*y + 4*t^8.*y + 4*t^8.33*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 6012 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_2\phi_1^2$ + $ M_2M_8$ | 0.7014 | 0.8681 | 0.808 | [X:[], M:[0.6667, 1.1111, 0.8889, 0.8889, 1.0, 0.7778, 1.3333, 0.8889], q:[0.7222, 0.6111], qb:[0.3889, 0.5], phi:[0.4444]] | t^2.33 + 4*t^2.67 + t^3. + t^3.67 + 2*t^4. + 2*t^4.33 + 3*t^4.67 + 5*t^5. + 10*t^5.33 + 2*t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 101/144, c: 125/144, M1: 2/3, M2: 10/9, M3: 8/9, M4: 8/9, M5: 1, M6: 7/9, M7: 4/3, M8: 8/9, q1: 13/18, q2: 11/18, qb1: 7/18, qb2: 1/2, phi1: 4/9} |
| 6013 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_2\phi_1^2$ + $ M_8q_1\tilde{q}_2$ | 0.7091 | 0.8827 | 0.8033 | [X:[], M:[0.6667, 1.1111, 0.8889, 0.8889, 1.0, 0.7778, 1.3333, 0.7778], q:[0.7222, 0.6111], qb:[0.3889, 0.5], phi:[0.4444]] | 2*t^2.33 + 3*t^2.67 + t^3. + t^3.33 + 2*t^4. + 2*t^4.33 + 5*t^4.67 + 7*t^5. + 7*t^5.33 + 3*t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 919/1296, c: 143/162, M1: 2/3, M2: 10/9, M3: 8/9, M4: 8/9, M5: 1, M6: 7/9, M7: 4/3, M8: 7/9, q1: 13/18, q2: 11/18, qb1: 7/18, qb2: 1/2, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2463 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_7$ | 0.7157 | 0.8835 | 0.8101 | [X:[], M:[0.7951, 0.9827, 1.0173, 0.7605, 1.0, 0.7778, 1.2049], q:[0.5938, 0.6111], qb:[0.3889, 0.6284], phi:[0.4444]] | t^2.28 + t^2.33 + t^2.67 + t^2.95 + t^3. + t^3.05 + t^3.61 + t^3.67 + t^4.28 + t^4.33 + t^4.39 + t^4.56 + t^4.61 + t^4.67 + t^4.9 + 2*t^4.95 + 3*t^5. + t^5.05 + t^5.1 + t^5.23 + t^5.28 + 2*t^5.33 + t^5.61 + t^5.67 + t^5.72 + t^5.9 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |