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 |
|---|---|---|---|---|---|---|---|---|---|
| 4241 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.6322 | 0.8092 | 0.7812 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 0.75, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 971/1536, c: 1243/1536, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 3/4, M6: 5/6, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_7$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_2M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ M_3M_7$, $ M_4M_7$, $ M_5M_7$, $ M_2\phi_1^2$, $ M_2^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_2M_7$, $ M_6q_1q_2$ | $\phi_1\tilde{q}_2^2$ | -1 | 3*t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + t^4. + 6*t^4.5 + 7*t^4.75 + 6*t^5. + 5*t^5.25 + 5*t^5.5 + t^5.75 - t^6. + 2*t^6.25 + t^6.5 + 8*t^6.75 + 11*t^7. + 14*t^7.25 + 14*t^7.5 + 14*t^7.75 + 6*t^8. - 4*t^8.25 - 2*t^8.5 - 3*t^8.75 - t^4.25/y - (2*t^6.5)/y - (2*t^6.75)/y - t^7./y + (4*t^7.5)/y + (8*t^7.75)/y + (6*t^8.)/y + (5*t^8.25)/y + (5*t^8.5)/y - t^4.25*y - 2*t^6.5*y - 2*t^6.75*y - t^7.*y + 4*t^7.5*y + 8*t^7.75*y + 6*t^8.*y + 5*t^8.25*y + 5*t^8.5*y | 3*t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + t^4. + 6*t^4.5 + 7*t^4.75 + 6*t^5. + 5*t^5.25 + 5*t^5.5 + t^5.75 - t^6. + 2*t^6.25 + t^6.5 + 8*t^6.75 + 11*t^7. + 14*t^7.25 + 14*t^7.5 + 14*t^7.75 + 6*t^8. - 4*t^8.25 - 2*t^8.5 - 3*t^8.75 - t^4.25/y - (2*t^6.5)/y - (2*t^6.75)/y - t^7./y + (4*t^7.5)/y + (8*t^7.75)/y + (6*t^8.)/y + (5*t^8.25)/y + (5*t^8.5)/y - t^4.25*y - 2*t^6.5*y - 2*t^6.75*y - t^7.*y + 4*t^7.5*y + 8*t^7.75*y + 6*t^8.*y + 5*t^8.25*y + 5*t^8.5*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 |
|---|---|---|---|---|---|---|---|---|
| 5724 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ + $ M_2M_8$ | 0.6245 | 0.7964 | 0.7842 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 0.75, 0.8333, 1.0, 1.0833], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 3*t^2.25 + 2*t^2.5 + t^3. + 2*t^3.25 + t^4. + 6*t^4.5 + 7*t^4.75 + 3*t^5. + 3*t^5.25 + 7*t^5.5 + 2*t^5.75 - 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 1279/2048, c: 1631/2048, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 3/4, M6: 5/6, M7: 1, M8: 13/12, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
| 5725 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ + $ M_8q_1q_2$ | 0.6398 | 0.8221 | 0.7783 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 0.75, 0.8333, 1.0, 0.9167], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 3*t^2.25 + 2*t^2.5 + 2*t^2.75 + t^3. + t^4. + 6*t^4.5 + 7*t^4.75 + 9*t^5. + 7*t^5.25 + 4*t^5.5 - 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 3931/6144, c: 5051/6144, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 3/4, M6: 5/6, M7: 1, M8: 11/12, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2245 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6847 | 0.8767 | 0.781 | [X:[], M:[1.1784, 0.7496, 0.8216, 0.8216, 0.8216, 0.7856, 0.7136], q:[0.8036, 0.4468], qb:[0.3748, 0.8036], phi:[0.3928]] | t^2.14 + t^2.25 + 2*t^2.36 + 3*t^2.46 + t^3.43 + t^3.75 + t^4.28 + t^4.39 + 3*t^4.5 + 5*t^4.61 + 6*t^4.71 + 7*t^4.82 + 6*t^4.93 + t^5.57 + t^5.68 + t^5.78 + 2*t^5.89 - 2*t^6. - t^4.18/y - t^4.18*y | detail |