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 |
|---|---|---|---|---|---|---|---|---|---|
| 2719 | 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$ | 0.6575 | 0.8468 | 0.7765 | [X:[], M:[1.1387, 0.7226, 0.75, 0.8613], q:[0.75, 0.3613], qb:[0.5, 0.3887], phi:[0.5]] | [X:[], M:[[1], [-2], [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$, $ q_2\tilde{q}_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_2q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_4$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_4^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2q_1q_2$, $ M_4\phi_1^2$, $ M_3q_1q_2$, $ M_2q_1\tilde{q}_2$, $ q_1q_2^2\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_2\phi_1q_2^2$, $ M_4q_1q_2$, $ M_3\phi_1q_2^2$, $ M_2q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$ | $M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | 1 | t^2.17 + 2*t^2.25 + t^2.58 + t^2.67 + t^3. + t^3.33 + t^3.42 + t^3.67 + t^3.75 + t^4.08 + t^4.17 + t^4.34 + 2*t^4.42 + 4*t^4.5 + t^4.75 + 3*t^4.83 + 2*t^4.92 + 2*t^5.17 + 3*t^5.25 + t^5.33 + t^5.5 + 3*t^5.58 + 2*t^5.67 + t^5.84 + 3*t^5.92 + t^6. + 2*t^6.25 + 3*t^6.33 + t^6.42 + t^6.5 + 2*t^6.59 + 6*t^6.67 + 6*t^6.75 + t^6.83 + t^6.92 + 4*t^7. + 5*t^7.08 + 2*t^7.17 + 3*t^7.34 + 5*t^7.42 + 4*t^7.5 + t^7.58 + t^7.67 + 5*t^7.75 + 5*t^7.83 + 2*t^7.92 + 2*t^8. + 3*t^8.09 + 5*t^8.17 + 2*t^8.42 + 5*t^8.5 + 2*t^8.58 + 2*t^8.75 + 7*t^8.84 + 8*t^8.92 - t^4.5/y - t^6.67/y - t^6.75/y + (2*t^7.42)/y + t^7.5/y + t^7.75/y + (3*t^7.83)/y + (2*t^7.92)/y + t^8.17/y + (4*t^8.25)/y + t^8.33/y + t^8.5/y + (4*t^8.58)/y + (3*t^8.67)/y + (3*t^8.92)/y - t^4.5*y - t^6.67*y - t^6.75*y + 2*t^7.42*y + t^7.5*y + t^7.75*y + 3*t^7.83*y + 2*t^7.92*y + t^8.17*y + 4*t^8.25*y + t^8.33*y + t^8.5*y + 4*t^8.58*y + 3*t^8.67*y + 3*t^8.92*y | t^2.17/g1^2 + 2*t^2.25 + t^2.58/g1 + g1*t^2.67 + t^3. + t^3.33/g1 + g1*t^3.42 + t^3.67/g1^2 + t^3.75 + t^4.08/g1 + g1*t^4.17 + t^4.34/g1^4 + (2*t^4.42)/g1^2 + 4*t^4.5 + t^4.75/g1^3 + (3*t^4.83)/g1 + 2*g1*t^4.92 + (2*t^5.17)/g1^2 + 3*t^5.25 + g1^2*t^5.33 + t^5.5/g1^3 + (3*t^5.58)/g1 + 2*g1*t^5.67 + t^5.84/g1^4 + (3*t^5.92)/g1^2 + t^6. + (2*t^6.25)/g1^3 + (3*t^6.33)/g1 + g1*t^6.42 + t^6.5/g1^6 + (2*t^6.59)/g1^4 + (6*t^6.67)/g1^2 + 6*t^6.75 + g1^2*t^6.83 + t^6.92/g1^5 + (4*t^7.)/g1^3 + (5*t^7.08)/g1 + 2*g1*t^7.17 + (3*t^7.34)/g1^4 + (5*t^7.42)/g1^2 + 4*t^7.5 + g1^2*t^7.58 + t^7.67/g1^5 + (5*t^7.75)/g1^3 + (5*t^7.83)/g1 + 2*g1*t^7.92 + t^8./g1^6 + g1^3*t^8. + (3*t^8.09)/g1^4 + (5*t^8.17)/g1^2 + (2*t^8.42)/g1^5 + (5*t^8.5)/g1^3 + (2*t^8.58)/g1 + t^8.67/g1^8 - g1*t^8.67 + (2*t^8.75)/g1^6 + (7*t^8.84)/g1^4 + (8*t^8.92)/g1^2 - t^4.5/y - t^6.67/(g1^2*y) - t^6.75/y + (2*t^7.42)/(g1^2*y) + t^7.5/y + t^7.75/(g1^3*y) + (3*t^7.83)/(g1*y) + (2*g1*t^7.92)/y + t^8.17/(g1^2*y) + (4*t^8.25)/y + (g1^2*t^8.33)/y + t^8.5/(g1^3*y) + (4*t^8.58)/(g1*y) + (3*g1*t^8.67)/y + (3*t^8.92)/(g1^2*y) - t^4.5*y - (t^6.67*y)/g1^2 - t^6.75*y + (2*t^7.42*y)/g1^2 + t^7.5*y + (t^7.75*y)/g1^3 + (3*t^7.83*y)/g1 + 2*g1*t^7.92*y + (t^8.17*y)/g1^2 + 4*t^8.25*y + g1^2*t^8.33*y + (t^8.5*y)/g1^3 + (4*t^8.58*y)/g1 + 3*g1*t^8.67*y + (3*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 3232 | $\phi_1q_1^2$ + $ 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_5\phi_1q_2^2$ | 0.676 | 0.8792 | 0.769 | [X:[], M:[1.125, 0.75, 0.75, 0.875, 0.75], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | 4*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.38 + t^3.75 + 2*t^4.12 + 11*t^4.5 + 8*t^4.88 + 7*t^5.25 + 8*t^5.62 + 3*t^6. - t^4.5/y - t^4.5*y | detail | {a: 2769/4096, c: 3601/4096, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 3/4, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2} |
| 3233 | $\phi_1q_1^2$ + $ 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 | |
| 3234 | $\phi_1q_1^2$ + $ 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}_2$ | 0.6703 | 0.8704 | 0.7701 | [X:[], M:[1.1508, 0.6985, 0.75, 0.8492, 0.8492], q:[0.75, 0.3492], qb:[0.5, 0.4008], phi:[0.5]] | t^2.1 + 2*t^2.25 + 2*t^2.55 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^3.75 + t^4.05 + t^4.19 + t^4.2 + 2*t^4.35 + 4*t^4.5 + 2*t^4.64 + 5*t^4.8 + 2*t^4.95 + 4*t^5.1 + 4*t^5.25 + t^5.39 + t^5.4 + 3*t^5.55 + t^5.69 + 4*t^5.85 - t^4.5/y - t^4.5*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1718 | 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$ | 0.6458 | 0.8255 | 0.7823 | [X:[], M:[1.1253, 0.7495, 0.75], q:[0.75, 0.3747], qb:[0.5, 0.3753], phi:[0.5]] | 3*t^2.25 + t^2.63 + t^3. + t^3.37 + 2*t^3.38 + 2*t^3.75 + t^4.12 + t^4.13 + 7*t^4.5 + t^4.87 + 2*t^4.88 + 4*t^5.25 + 4*t^5.62 + 4*t^5.63 + 4*t^6. - t^4.5/y - t^4.5*y | detail |