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 |
|---|---|---|---|---|---|---|---|---|---|
| 47012 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1q_2^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_2$ | 0.6533 | 0.8408 | 0.777 | [X:[], M:[1.1667, 0.75, 0.8333, 0.75], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 669/1024, c: 861/1024, M1: 7/6, M2: 3/4, M3: 5/6, M4: 3/4, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ q_2\tilde{q}_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_3M_4$, $ M_3q_2\tilde{q}_1$, $ M_3^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2q_1q_2$, $ M_4q_1q_2$, $ q_1q_2^2\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_1M_4$, $ M_3q_1q_2$, $ M_2q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $M_3q_1\tilde{q}_1$ | 0 | 3*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^4.75 + 4*t^5. + 4*t^5.25 + 4*t^5.5 + 6*t^5.75 + 5*t^6.25 + 4*t^6.5 + 14*t^6.75 + 8*t^7. + 7*t^7.25 + 10*t^7.5 + 7*t^7.75 + 13*t^8. + 9*t^8.5 + 4*t^8.75 - t^4.5/y - (2*t^6.75)/y + (3*t^7.5)/y + (3*t^7.75)/y + (3*t^8.)/y + (6*t^8.25)/y + (4*t^8.5)/y + (8*t^8.75)/y - t^4.5*y - 2*t^6.75*y + 3*t^7.5*y + 3*t^7.75*y + 3*t^8.*y + 6*t^8.25*y + 4*t^8.5*y + 8*t^8.75*y | 3*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^4.75 + 4*t^5. + 4*t^5.25 + 4*t^5.5 + 6*t^5.75 + 5*t^6.25 + 4*t^6.5 + 14*t^6.75 + 8*t^7. + 7*t^7.25 + 10*t^7.5 + 7*t^7.75 + 13*t^8. + 9*t^8.5 + 4*t^8.75 - t^4.5/y - (2*t^6.75)/y + (3*t^7.5)/y + (3*t^7.75)/y + (3*t^8.)/y + (6*t^8.25)/y + (4*t^8.5)/y + (8*t^8.75)/y - t^4.5*y - 2*t^6.75*y + 3*t^7.5*y + 3*t^7.75*y + 3*t^8.*y + 6*t^8.25*y + 4*t^8.5*y + 8*t^8.75*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 |
|---|---|---|---|---|---|---|---|---|
| 50995 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1q_2^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_5$ | 0.6676 | 0.8656 | 0.7713 | [X:[], M:[1.1667, 0.75, 0.8333, 0.75, 0.8333], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]] | 3*t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 6*t^4.75 + 6*t^5. + 5*t^5.25 + 5*t^5.5 + 4*t^5.75 - t^4.5/y - t^4.5*y | detail | {a: 2051/3072, c: 2659/3072, M1: 7/6, M2: 3/4, M3: 5/6, M4: 3/4, M5: 5/6, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2} |
| 55425 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1q_2^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_5$ | 0.639 | 0.8161 | 0.783 | [X:[], M:[1.1667, 0.75, 0.8333, 0.75, 1.1667], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]] | 3*t^2.25 + t^2.75 + t^3. + t^3.25 + 3*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 8*t^5.75 - 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 1963/3072, c: 2507/3072, M1: 7/6, M2: 3/4, M3: 5/6, M4: 3/4, M5: 7/6, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2} |
| 50954 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1q_2^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.661 | 0.8537 | 0.7743 | [X:[], M:[1.1667, 0.75, 0.8333, 0.75, 0.9167], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]] | 3*t^2.25 + t^2.5 + 2*t^2.75 + t^3. + 2*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^4.75 + 7*t^5. + 5*t^5.25 + 3*t^5.5 + 6*t^5.75 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 4061/6144, c: 5245/6144, M1: 7/6, M2: 3/4, M3: 5/6, M4: 3/4, M5: 11/12, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46766 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1q_2^2$ + $ M_1M_3$ | 0.6343 | 0.8062 | 0.7868 | [X:[], M:[1.1667, 0.75, 0.8333], q:[0.75, 0.3333], qb:[0.4167, 0.5], phi:[0.5]] | 2*t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + 2*t^3.5 + t^3.75 + 2*t^4. + t^4.25 + 4*t^4.5 + 2*t^4.75 + 3*t^5. + 3*t^5.25 + 3*t^5.5 + 4*t^5.75 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 1299/2048, c: 1651/2048, M1: 7/6, M2: 3/4, M3: 5/6, q1: 3/4, q2: 1/3, qb1: 5/12, qb2: 1/2, phi1: 1/2} |