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 |
|---|---|---|---|---|---|---|---|---|---|
| 3645 | 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_4q_1q_2$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6798 | 0.8846 | 0.7686 | [X:[], M:[1.1378, 0.7244, 0.75, 0.8878, 0.8622, 0.8622], q:[0.75, 0.3622], qb:[0.5, 0.3878], phi:[0.5]] | [X:[], M:[[1], [-2], [0], [1], [-1], [-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_5$, $ M_6$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \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_5$, $ M_2M_6$, $ M_2M_4$, $ M_3M_5$, $ M_3M_6$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_2\phi_1^2$, $ M_4M_5$, $ M_4M_6$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ M_2q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$ | . | -1 | t^2.17 + 2*t^2.25 + 2*t^2.59 + 2*t^2.66 + t^3. + t^3.67 + t^3.75 + t^4.09 + t^4.16 + t^4.35 + 2*t^4.42 + 4*t^4.5 + 2*t^4.76 + 6*t^4.84 + 4*t^4.91 + 4*t^5.17 + 6*t^5.25 + 3*t^5.33 + t^5.59 + t^5.66 + t^5.85 + 2*t^5.92 - t^6. - t^6.08 + 3*t^6.26 + 4*t^6.34 + t^6.41 + t^6.52 + 2*t^6.6 + 6*t^6.67 + 7*t^6.75 + t^6.83 + 2*t^6.93 + 6*t^7.01 + 9*t^7.09 + 5*t^7.16 + 5*t^7.35 + 11*t^7.42 + 10*t^7.5 + 4*t^7.58 + 6*t^7.76 + 7*t^7.84 + 5*t^7.91 + 4*t^7.99 + t^8.02 + 2*t^8.1 + 2*t^8.17 - 4*t^8.25 - t^8.33 + 3*t^8.43 + 6*t^8.51 - 2*t^8.59 - 7*t^8.66 + t^8.69 - 2*t^8.74 + 2*t^8.77 + 9*t^8.85 + 11*t^8.92 - t^4.5/y - t^6.67/y - t^6.75/y - t^7.09/y - t^7.16/y + (2*t^7.42)/y + t^7.5/y + (2*t^7.76)/y + (7*t^7.84)/y + (5*t^7.91)/y + (2*t^8.17)/y + (7*t^8.25)/y + (2*t^8.33)/y + (2*t^8.59)/y + (2*t^8.66)/y + (2*t^8.92)/y - t^4.5*y - t^6.67*y - t^6.75*y - t^7.09*y - t^7.16*y + 2*t^7.42*y + t^7.5*y + 2*t^7.76*y + 7*t^7.84*y + 5*t^7.91*y + 2*t^8.17*y + 7*t^8.25*y + 2*t^8.33*y + 2*t^8.59*y + 2*t^8.66*y + 2*t^8.92*y | t^2.17/g1^2 + 2*t^2.25 + (2*t^2.59)/g1 + 2*g1*t^2.66 + t^3. + t^3.67/g1^2 + t^3.75 + t^4.09/g1 + g1*t^4.16 + t^4.35/g1^4 + (2*t^4.42)/g1^2 + 4*t^4.5 + (2*t^4.76)/g1^3 + (6*t^4.84)/g1 + 4*g1*t^4.91 + (4*t^5.17)/g1^2 + 6*t^5.25 + 3*g1^2*t^5.33 + t^5.59/g1 + g1*t^5.66 + t^5.85/g1^4 + (2*t^5.92)/g1^2 - t^6. - g1^2*t^6.08 + (3*t^6.26)/g1^3 + (4*t^6.34)/g1 + g1*t^6.41 + t^6.52/g1^6 + (2*t^6.6)/g1^4 + (6*t^6.67)/g1^2 + 7*t^6.75 + g1^2*t^6.83 + (2*t^6.93)/g1^5 + (6*t^7.01)/g1^3 + (9*t^7.09)/g1 + 5*g1*t^7.16 + (5*t^7.35)/g1^4 + (11*t^7.42)/g1^2 + 10*t^7.5 + 4*g1^2*t^7.58 + (6*t^7.76)/g1^3 + (7*t^7.84)/g1 + 5*g1*t^7.91 + 4*g1^3*t^7.99 + t^8.02/g1^6 + (2*t^8.1)/g1^4 + (2*t^8.17)/g1^2 - 4*t^8.25 - g1^2*t^8.33 + (3*t^8.43)/g1^5 + (6*t^8.51)/g1^3 - (2*t^8.59)/g1 - 7*g1*t^8.66 + t^8.69/g1^8 - 2*g1^3*t^8.74 + (2*t^8.77)/g1^6 + (9*t^8.85)/g1^4 + (11*t^8.92)/g1^2 - t^4.5/y - t^6.67/(g1^2*y) - t^6.75/y - t^7.09/(g1*y) - (g1*t^7.16)/y + (2*t^7.42)/(g1^2*y) + t^7.5/y + (2*t^7.76)/(g1^3*y) + (7*t^7.84)/(g1*y) + (5*g1*t^7.91)/y + (2*t^8.17)/(g1^2*y) + (7*t^8.25)/y + (2*g1^2*t^8.33)/y + (2*t^8.59)/(g1*y) + (2*g1*t^8.66)/y + (2*t^8.92)/(g1^2*y) - t^4.5*y - (t^6.67*y)/g1^2 - t^6.75*y - (t^7.09*y)/g1 - g1*t^7.16*y + (2*t^7.42*y)/g1^2 + t^7.5*y + (2*t^7.76*y)/g1^3 + (7*t^7.84*y)/g1 + 5*g1*t^7.91*y + (2*t^8.17*y)/g1^2 + 7*t^8.25*y + 2*g1^2*t^8.33*y + (2*t^8.59*y)/g1 + 2*g1*t^8.66*y + (2*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 |
|---|---|---|---|---|---|---|---|---|
| 3917 | $\phi_1q_1^2$ + $ 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_4q_1q_2$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ | 0.6793 | 0.8824 | 0.7698 | [X:[], M:[1.125, 0.75, 0.75, 0.875, 0.875, 0.875], q:[0.75, 0.375], qb:[0.5, 0.375], phi:[0.5]] | 3*t^2.25 + 4*t^2.62 + t^3. + 2*t^3.75 + 2*t^4.12 + 7*t^4.5 + 12*t^4.88 + 13*t^5.25 + 2*t^5.62 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 5565/8192, c: 7229/8192, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 7/8, M6: 7/8, q1: 3/4, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 1/2} |
| 3920 | $\phi_1q_1^2$ + $ 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_4q_1q_2$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6989 | 0.9192 | 0.7603 | [X:[], M:[1.1378, 0.7244, 0.75, 0.8878, 0.8622, 0.8622, 0.75], q:[0.75, 0.3622], qb:[0.5, 0.3878], phi:[0.5]] | t^2.17 + 3*t^2.25 + 2*t^2.59 + 2*t^2.66 + t^3. + t^3.67 + t^4.09 + t^4.16 + t^4.35 + 3*t^4.42 + 7*t^4.5 + 2*t^4.76 + 8*t^4.84 + 6*t^4.91 + 4*t^5.17 + 7*t^5.25 + 3*t^5.33 + t^5.59 + t^5.66 + t^5.85 + 2*t^5.92 - 3*t^6. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3227 | 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_4q_1q_2$ + $ M_1M_5$ | 0.6682 | 0.8635 | 0.7738 | [X:[], M:[1.1252, 0.7495, 0.75, 0.8752, 0.8748], q:[0.75, 0.3748], qb:[0.5, 0.3752], phi:[0.5]] | 3*t^2.25 + t^2.62 + 2*t^2.63 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + t^4.13 + 7*t^4.5 + 5*t^4.87 + 4*t^4.88 + 9*t^5.25 + t^5.62 + 3*t^5.63 + 4*t^6. - t^4.5/y - t^4.5*y | detail |