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 |
|---|---|---|---|---|---|---|---|---|---|
| 2758 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_3M_5$ | 0.6193 | 0.7789 | 0.7952 | [X:[], M:[1.1644, 1.1119, 0.7763, 0.6712, 1.2237], q:[0.75, 0.4737], qb:[0.3619, 0.4144], phi:[0.5]] | [X:[], M:[[3], [-1], [2], [-6], [-2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ M_5$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_4q_1\tilde{q}_1$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ M_4M_5$, $ M_4q_1q_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_5\tilde{q}_1\tilde{q}_2$ | -1 | t^2.01 + t^2.33 + t^3. + 2*t^3.34 + 2*t^3.49 + 2*t^3.67 + t^3.83 + t^4.01 + t^4.03 + t^4.16 + 2*t^4.34 + t^4.66 + t^5.01 + t^5.33 + 2*t^5.35 + 2*t^5.51 + t^5.66 + 2*t^5.68 + t^5.82 - t^6. + t^6.02 + t^6.04 + 2*t^6.36 + t^6.49 + 4*t^6.67 + 3*t^6.83 + 3*t^6.99 + 3*t^7.01 + t^7.03 + 3*t^7.16 + 4*t^7.34 + 2*t^7.36 + 2*t^7.5 + 2*t^7.52 + t^7.66 + 3*t^7.68 + 2*t^7.7 + 2*t^7.84 + t^8.01 + t^8.03 + t^8.05 + t^8.15 - t^8.17 - t^8.33 + t^8.35 + 2*t^8.37 + t^8.51 - t^8.66 + 5*t^8.68 + 2*t^8.84 - t^4.5/y - t^6.51/y + t^7.01/y + t^7.16/y + t^7.34/y - t^7.84/y - t^7.99/y + t^8.01/y + t^8.33/y + (2*t^8.35)/y + t^8.49/y + (2*t^8.51)/y - t^8.53/y + (2*t^8.66)/y + (2*t^8.68)/y + (2*t^8.82)/y + t^8.84/y - t^4.5*y - t^6.51*y + t^7.01*y + t^7.16*y + t^7.34*y - t^7.84*y - t^7.99*y + t^8.01*y + t^8.33*y + 2*t^8.35*y + t^8.49*y + 2*t^8.51*y - t^8.53*y + 2*t^8.66*y + 2*t^8.68*y + 2*t^8.82*y + t^8.84*y | t^2.01/g1^6 + g1^2*t^2.33 + t^3. + (2*t^3.34)/g1 + 2*g1^3*t^3.49 + (2*t^3.67)/g1^2 + g1^2*t^3.83 + t^4.01/g1^3 + t^4.03/g1^12 + g1*t^4.16 + (2*t^4.34)/g1^4 + g1^4*t^4.66 + t^5.01/g1^6 + g1^2*t^5.33 + (2*t^5.35)/g1^7 + (2*t^5.51)/g1^3 + g1*t^5.66 + (2*t^5.68)/g1^8 + g1^5*t^5.82 - t^6. + t^6.02/g1^9 + t^6.04/g1^18 + (2*t^6.36)/g1^10 + g1^3*t^6.49 + (4*t^6.67)/g1^2 + 3*g1^2*t^6.83 + 3*g1^6*t^6.99 + (3*t^7.01)/g1^3 + t^7.03/g1^12 + 3*g1*t^7.16 + (4*t^7.34)/g1^4 + (2*t^7.36)/g1^13 + 2*t^7.5 + (2*t^7.52)/g1^9 + g1^4*t^7.66 + (3*t^7.68)/g1^5 + (2*t^7.7)/g1^14 + (2*t^7.84)/g1 + t^8.01/g1^6 + t^8.03/g1^15 + t^8.05/g1^24 + g1^7*t^8.15 - t^8.17/g1^2 - g1^2*t^8.33 + t^8.35/g1^7 + (2*t^8.37)/g1^16 + t^8.51/g1^3 - g1*t^8.66 + (5*t^8.68)/g1^8 + (2*t^8.84)/g1^4 - t^4.5/y - t^6.51/(g1^6*y) + t^7.01/(g1^3*y) + (g1*t^7.16)/y + t^7.34/(g1^4*y) - t^7.84/(g1*y) - (g1^3*t^7.99)/y + t^8.01/(g1^6*y) + (g1^2*t^8.33)/y + (2*t^8.35)/(g1^7*y) + (g1^6*t^8.49)/y + (2*t^8.51)/(g1^3*y) - t^8.53/(g1^12*y) + (2*g1*t^8.66)/y + (2*t^8.68)/(g1^8*y) + (2*g1^5*t^8.82)/y + t^8.84/(g1^4*y) - t^4.5*y - (t^6.51*y)/g1^6 + (t^7.01*y)/g1^3 + g1*t^7.16*y + (t^7.34*y)/g1^4 - (t^7.84*y)/g1 - g1^3*t^7.99*y + (t^8.01*y)/g1^6 + g1^2*t^8.33*y + (2*t^8.35*y)/g1^7 + g1^6*t^8.49*y + (2*t^8.51*y)/g1^3 - (t^8.53*y)/g1^12 + 2*g1*t^8.66*y + (2*t^8.68*y)/g1^8 + 2*g1^5*t^8.82*y + (t^8.84*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3274 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_3M_5$ + $ M_4q_1\tilde{q}_1$ | 0.5993 | 0.7511 | 0.7979 | [X:[], M:[1.0714, 1.1429, 0.7143, 0.8571, 1.2857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | t^2.14 + t^2.57 + t^3. + 2*t^3.21 + 2*t^3.43 + t^3.64 + 2*t^3.86 + t^4.07 + 2*t^4.29 + 2*t^4.71 + 2*t^5.14 + t^5.36 + 2*t^5.57 + 2*t^5.79 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 537/896, c: 673/896, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 9/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1756 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ | 0.6373 | 0.8105 | 0.7863 | [X:[], M:[1.1576, 1.1141, 0.7717, 0.6848], q:[0.75, 0.4783], qb:[0.3641, 0.4076], phi:[0.5]] | t^2.05 + 2*t^2.32 + t^3. + 2*t^3.34 + 2*t^3.47 + t^3.68 + t^3.82 + t^4.03 + t^4.11 + t^4.16 + 3*t^4.37 + 3*t^4.63 + t^5.05 + 2*t^5.32 + 2*t^5.4 + 2*t^5.53 + 3*t^5.66 + t^5.74 + 3*t^5.79 - t^6. - t^4.5/y - t^4.5*y | detail |