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 |
|---|---|---|---|---|---|---|---|---|---|
| 2951 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_4X_1$ | 0.6719 | 0.8594 | 0.7818 | [X:[1.3333], M:[0.8333, 1.1667, 0.8333, 0.6667, 0.8333, 0.8333], q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | [X:[[2]], M:[[2], [-2], [2], [-2], [-1], [-1]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 43/64, c: 55/64, X1: 4/3, M1: 5/6, M2: 7/6, M3: 5/6, M4: 2/3, M5: 5/6, M6: 5/6, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_5$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$ | . | -9 | 6*t^2.5 + t^3. + 6*t^4. + 21*t^5. + 6*t^5.5 - 9*t^6. + 30*t^6.5 - 3*t^7. + 40*t^7.5 + 33*t^8. - 54*t^8.5 - t^4.5/y - (3*t^7.)/y + (18*t^8.)/y + (6*t^8.5)/y - t^4.5*y - 3*t^7.*y + 18*t^8.*y + 6*t^8.5*y | (4*t^2.5)/g1 + 2*g1^2*t^2.5 + t^3. + t^4./g1^4 + (2*t^4.)/g1 + 3*g1^2*t^4. + (10*t^5.)/g1^2 + 8*g1*t^5. + 3*g1^4*t^5. + (4*t^5.5)/g1 + 2*g1^2*t^5.5 - 5*t^6. - (2*t^6.)/g1^3 - 2*g1^3*t^6. + (4*t^6.5)/g1^5 + (8*t^6.5)/g1^2 + 12*g1*t^6.5 + 6*g1^4*t^6.5 - (2*t^7.)/g1 - g1^2*t^7. + 12*t^7.5 + (16*t^7.5)/g1^3 + 8*g1^3*t^7.5 + 4*g1^6*t^7.5 + t^8./g1^8 + (2*t^8.)/g1^5 + (12*t^8.)/g1^2 + 10*g1*t^8. + 8*g1^4*t^8. - (8*t^8.5)/g1^4 - (24*t^8.5)/g1 - 18*g1^2*t^8.5 - 4*g1^5*t^8.5 - t^4.5/y - (2*t^7.)/(g1*y) - (g1^2*t^7.)/y + (7*t^8.)/(g1^2*y) + (10*g1*t^8.)/y + (g1^4*t^8.)/y + (4*t^8.5)/(g1*y) + (2*g1^2*t^8.5)/y - t^4.5*y - (2*t^7.*y)/g1 - g1^2*t^7.*y + (7*t^8.*y)/g1^2 + 10*g1*t^8.*y + g1^4*t^8.*y + (4*t^8.5*y)/g1 + 2*g1^2*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1917 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ | 0.6785 | 0.8762 | 0.7744 | [X:[], M:[0.8242, 1.1758, 0.8242, 0.6758, 0.8379], q:[0.75, 0.4258], qb:[0.4121, 0.4121], phi:[0.5]] | t^2.03 + 2*t^2.47 + 3*t^2.51 + t^3. + t^3.49 + 2*t^3.97 + 2*t^4.01 + 2*t^4.05 + 2*t^4.5 + 3*t^4.54 + 3*t^4.95 + 6*t^4.99 + 7*t^5.03 + 2*t^5.47 + 4*t^5.51 - t^4.5/y - t^4.5*y | detail |