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 |
|---|---|---|---|---|---|---|---|---|---|
| 3654 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6893 | 0.9051 | 0.7616 | [X:[], M:[1.1508, 0.6985, 0.75, 0.8492, 0.75, 0.8492], q:[0.75, 0.3492], qb:[0.5, 0.4008], phi:[0.5]] | [X:[], M:[[1], [-2], [0], [-1], [0], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_5$, $ q_2\tilde{q}_2$, $ M_4$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ M_2q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_4$, $ M_2M_6$, $ M_3M_4$, $ M_4M_5$, $ M_3M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_2q_1q_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_3q_1q_2$, $ M_5q_1q_2$, $ q_1q_2^2\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ M_4q_1q_2$, $ M_6q_1q_2$, $ M_3\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$ | . | -2 | t^2.1 + 3*t^2.25 + 2*t^2.55 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^4.05 + t^4.19 + t^4.2 + 3*t^4.35 + 7*t^4.5 + 2*t^4.64 + 7*t^4.8 + 3*t^4.95 + 4*t^5.1 + 5*t^5.25 + t^5.39 + t^5.4 + 4*t^5.55 + t^5.69 + 4*t^5.85 - 2*t^6. + 3*t^6.14 - t^6.15 + t^6.29 + 3*t^6.3 + 3*t^6.44 + 10*t^6.6 + 2*t^6.74 + 12*t^6.75 + 8*t^6.89 + 14*t^7.05 + 5*t^7.19 + 4*t^7.2 + 13*t^7.35 + t^7.49 + 9*t^7.5 + 9*t^7.64 + t^7.65 + t^7.79 + 10*t^7.8 + 4*t^7.94 - 2*t^7.95 + 9*t^8.1 + t^8.11 + 3*t^8.24 - 9*t^8.25 + t^8.38 + 10*t^8.39 - 3*t^8.4 + 3*t^8.54 - 2*t^8.55 + 13*t^8.69 - 7*t^8.7 + 2*t^8.83 + 17*t^8.85 - t^8.86 + 8*t^8.99 - t^4.5/y - t^6.6/y - (2*t^6.75)/y - t^7.05/y + (3*t^7.35)/y + (3*t^7.5)/y + (2*t^7.64)/y + (7*t^7.8)/y + (4*t^7.95)/y + (2*t^8.1)/y + (7*t^8.25)/y + t^8.39/y + t^8.4/y + (5*t^8.55)/y + t^8.7/y + (3*t^8.85)/y - t^4.5*y - t^6.6*y - 2*t^6.75*y - t^7.05*y + 3*t^7.35*y + 3*t^7.5*y + 2*t^7.64*y + 7*t^7.8*y + 4*t^7.95*y + 2*t^8.1*y + 7*t^8.25*y + t^8.39*y + t^8.4*y + 5*t^8.55*y + t^8.7*y + 3*t^8.85*y | t^2.1/g1^2 + 3*t^2.25 + (2*t^2.55)/g1 + g1*t^2.7 + t^3. + t^3.3/g1 + t^3.6/g1^2 + t^4.05/g1 + t^4.19/g1^4 + g1*t^4.2 + (3*t^4.35)/g1^2 + 7*t^4.5 + (2*t^4.64)/g1^3 + (7*t^4.8)/g1 + 3*g1*t^4.95 + (4*t^5.1)/g1^2 + 5*t^5.25 + t^5.39/g1^3 + g1^2*t^5.4 + (4*t^5.55)/g1 + t^5.69/g1^4 + (4*t^5.85)/g1^2 - 2*t^6. + (3*t^6.14)/g1^3 - g1^2*t^6.15 + t^6.29/g1^6 + (3*t^6.3)/g1 + (3*t^6.44)/g1^4 + (10*t^6.6)/g1^2 + (2*t^6.74)/g1^5 + 12*t^6.75 + (8*t^6.89)/g1^3 + (14*t^7.05)/g1 + (5*t^7.19)/g1^4 + 4*g1*t^7.2 + (13*t^7.35)/g1^2 + t^7.49/g1^5 + 9*t^7.5 + (9*t^7.64)/g1^3 + g1^2*t^7.65 + t^7.79/g1^6 + (10*t^7.8)/g1 + (4*t^7.94)/g1^4 - 2*g1*t^7.95 + (9*t^8.1)/g1^2 + g1^3*t^8.11 + (3*t^8.24)/g1^5 - 9*t^8.25 + t^8.38/g1^8 + (10*t^8.39)/g1^3 - 3*g1^2*t^8.4 + (3*t^8.54)/g1^6 - (2*t^8.55)/g1 + (13*t^8.69)/g1^4 - 7*g1*t^8.7 + (2*t^8.83)/g1^7 + (17*t^8.85)/g1^2 - g1^3*t^8.86 + (8*t^8.99)/g1^5 - t^4.5/y - t^6.6/(g1^2*y) - (2*t^6.75)/y - t^7.05/(g1*y) + (3*t^7.35)/(g1^2*y) + (3*t^7.5)/y + (2*t^7.64)/(g1^3*y) + (7*t^7.8)/(g1*y) + (4*g1*t^7.95)/y + (2*t^8.1)/(g1^2*y) + (7*t^8.25)/y + t^8.39/(g1^3*y) + (g1^2*t^8.4)/y + (5*t^8.55)/(g1*y) + (g1*t^8.7)/y + (3*t^8.85)/(g1^2*y) - t^4.5*y - (t^6.6*y)/g1^2 - 2*t^6.75*y - (t^7.05*y)/g1 + (3*t^7.35*y)/g1^2 + 3*t^7.5*y + (2*t^7.64*y)/g1^3 + (7*t^7.8*y)/g1 + 4*g1*t^7.95*y + (2*t^8.1*y)/g1^2 + 7*t^8.25*y + (t^8.39*y)/g1^3 + g1^2*t^8.4*y + (5*t^8.55*y)/g1 + g1*t^8.7*y + (3*t^8.85*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3928 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_2q_1q_2$ | 0.6753 | 0.8784 | 0.7688 | [X:[], M:[1.0833, 0.8333, 0.75, 0.9167, 0.75, 0.9167], q:[0.75, 0.4167], qb:[0.5, 0.3333], phi:[0.5]] | 3*t^2.25 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 6*t^4.75 + 9*t^5. + 7*t^5.25 + 4*t^5.5 + 3*t^5.75 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 1383/2048, c: 1799/2048, M1: 13/12, M2: 5/6, M3: 3/4, M4: 11/12, M5: 3/4, M6: 11/12, q1: 3/4, q2: 5/12, qb1: 1/2, qb2: 1/3, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3233 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6766 | 0.8814 | 0.7676 | [X:[], M:[1.1387, 0.7226, 0.75, 0.8613, 0.75], q:[0.75, 0.3613], qb:[0.5, 0.3887], phi:[0.5]] | t^2.17 + 3*t^2.25 + t^2.58 + t^2.67 + t^3. + t^3.33 + t^3.42 + t^3.67 + t^4.08 + t^4.17 + t^4.34 + 3*t^4.42 + 7*t^4.5 + t^4.75 + 4*t^4.83 + 3*t^4.92 + 2*t^5.17 + 4*t^5.25 + t^5.33 + t^5.5 + 4*t^5.58 + 3*t^5.67 + t^5.84 + 3*t^5.92 - t^6. - t^4.5/y - t^4.5*y | detail |