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 |
|---|---|---|---|---|---|---|---|---|---|
| 46895 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4\phi_1^2$ + $ M_3X_2$ | 0.5463 | 0.6713 | 0.8138 | [X:[1.3333, 1.4444], M:[0.6667, 1.1111, 0.5556, 1.1111], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | [X:[[0], [0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 59/108, c: 145/216, X1: 4/3, X2: 13/9, M1: 2/3, M2: 10/9, M3: 5/9, M4: 10/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1q_1\tilde{q}_2$, $ X_2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_2^2$ | 0 | t^2.33 + t^2.67 + t^3. + 2*t^3.33 + 2*t^3.67 + 2*t^4. + t^4.33 + t^4.67 + t^5. + 3*t^5.33 + t^5.67 + 2*t^6.33 + 4*t^6.67 + 3*t^7. + 3*t^7.33 + 3*t^7.67 + 5*t^8. + t^8.33 + t^8.67 - t^4.33/y + t^7./y - t^7.67/y + t^8./y + t^8.33/y + (3*t^8.67)/y - t^4.33*y + t^7.*y - t^7.67*y + t^8.*y + t^8.33*y + 3*t^8.67*y | t^2.33 + t^2.67 + t^3. + 2*t^3.33 + 2*t^3.67 + 2*t^4. + t^4.33 + t^4.67 + t^5. + 3*t^5.33 + t^5.67 + 2*t^6.33 + 4*t^6.67 + 3*t^7. + 3*t^7.33 + 3*t^7.67 + 5*t^8. + t^8.33 + t^8.67 - t^4.33/y + t^7./y - t^7.67/y + t^8./y + t^8.33/y + (3*t^8.67)/y - t^4.33*y + t^7.*y - t^7.67*y + t^8.*y + 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 |
|---|---|---|---|---|---|---|---|---|
| 55062 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4\phi_1^2$ + $ M_3X_2$ + $ M_5\phi_1^2$ | 0.5363 | 0.6543 | 0.8196 | [X:[1.3333, 1.4444], M:[0.6667, 1.1111, 0.5556, 1.1111, 1.1111], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | t^2.33 + t^3. + 3*t^3.33 + 2*t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 2*t^5.33 + t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 695/1296, c: 53/81, X1: 4/3, X2: 13/9, M1: 2/3, M2: 10/9, M3: 5/9, M4: 10/9, M5: 10/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46788 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6877 | 0.8539 | 0.8054 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | t^2.05 + t^2.31 + t^2.67 + t^2.98 + t^3.02 + t^3.33 + t^3.64 + 2*t^4. + t^4.05 + t^4.1 + t^4.31 + 2*t^4.36 + t^4.62 + t^4.67 + t^4.72 + t^4.98 + t^5.02 + t^5.07 + t^5.28 + 2*t^5.33 + t^5.38 + t^5.64 + t^5.69 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail |