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 |
|---|---|---|---|---|---|---|---|---|---|
| 445 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ | 0.6501 | 0.7927 | 0.8201 | [X:[], M:[1.0, 1.1539, 0.8975, 0.8461], q:[0.782, 0.3718], qb:[0.6282, 0.4743], phi:[0.4359]] | [X:[], M:[[0], [-3], [-11], [3]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_3^2$, $ M_1\phi_1^2$ | . | -1 | t^2.54 + t^2.62 + t^2.69 + t^3. + t^3.46 + t^3.54 + t^3.77 + t^3.85 + t^4.15 + t^4.23 + t^4.31 + t^4.62 + 2*t^5.08 + t^5.15 + t^5.23 + t^5.31 + t^5.39 + t^5.62 - t^6. + t^6.08 + 2*t^6.15 + t^6.23 + t^6.38 + t^6.46 + t^6.54 + t^6.69 + t^6.77 + t^6.85 + t^6.92 + t^7. + t^7.08 + t^7.15 + t^7.23 + t^7.31 + t^7.38 + 2*t^7.62 + 3*t^7.69 + 2*t^7.77 + 2*t^7.85 + 2*t^7.92 + 2*t^8. + 2*t^8.08 + t^8.31 + t^8.38 - t^8.54 - t^8.69 + 2*t^8.77 + 3*t^8.85 + t^8.92 - t^4.31/y - t^6.92/y - t^7./y + t^7.62/y + t^7.69/y + t^8.15/y + t^8.23/y + t^8.31/y + t^8.54/y + t^8.62/y + t^8.69/y - t^4.31*y - t^6.92*y - t^7.*y + t^7.62*y + t^7.69*y + t^8.15*y + t^8.23*y + t^8.31*y + t^8.54*y + t^8.62*y + t^8.69*y | g1^3*t^2.54 + t^2.62/g1^4 + t^2.69/g1^11 + t^3. + t^3.46/g1^3 + t^3.54/g1^10 + g1^8*t^3.77 + g1*t^3.85 + g1^12*t^4.15 + g1^5*t^4.23 + t^4.31/g1^2 + g1^9*t^4.62 + 2*g1^6*t^5.08 + t^5.15/g1 + t^5.23/g1^8 + t^5.31/g1^15 + t^5.39/g1^22 + t^5.62/g1^4 - t^6. + t^6.08/g1^7 + (2*t^6.15)/g1^14 + t^6.23/g1^21 + g1^4*t^6.38 + t^6.46/g1^3 + t^6.54/g1^10 + g1^15*t^6.69 + g1^8*t^6.77 + g1*t^6.85 + t^6.92/g1^6 + t^7./g1^13 + t^7.08/g1^20 + g1^12*t^7.15 + g1^5*t^7.23 + t^7.31/g1^2 + t^7.38/g1^9 + 2*g1^9*t^7.62 + 3*g1^2*t^7.69 + (2*t^7.77)/g1^5 + (2*t^7.85)/g1^12 + t^7.92/g1^19 + g1^20*t^7.92 + t^8./g1^26 + g1^13*t^8. + t^8.08/g1^33 + g1^6*t^8.08 + g1^24*t^8.31 + g1^17*t^8.38 - g1^3*t^8.54 - t^8.69/g1^11 + t^8.77/g1^18 + g1^21*t^8.77 + (2*t^8.85)/g1^25 + g1^14*t^8.85 + t^8.92/g1^32 - t^4.31/(g1^2*y) - t^6.92/(g1^6*y) - t^7./(g1^13*y) + (g1^9*t^7.62)/y + (g1^2*t^7.69)/y + t^8.15/(g1*y) + t^8.23/(g1^8*y) + t^8.31/(g1^15*y) + (g1^3*t^8.54)/y + t^8.62/(g1^4*y) + t^8.69/(g1^11*y) - (t^4.31*y)/g1^2 - (t^6.92*y)/g1^6 - (t^7.*y)/g1^13 + g1^9*t^7.62*y + g1^2*t^7.69*y + (t^8.15*y)/g1 + (t^8.23*y)/g1^8 + (t^8.31*y)/g1^15 + g1^3*t^8.54*y + (t^8.62*y)/g1^4 + (t^8.69*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 745 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_2M_5$ | 0.6636 | 0.816 | 0.8132 | [X:[], M:[1.0, 1.1577, 0.9114, 0.8423, 0.8423], q:[0.7808, 0.3769], qb:[0.6231, 0.4655], phi:[0.4384]] | 2*t^2.53 + t^2.63 + t^2.73 + t^3. + t^3.58 + t^3.74 + t^3.84 + t^4.11 + t^4.21 + t^4.32 + t^4.58 + 4*t^5.05 + 2*t^5.16 + 2*t^5.26 + t^5.36 + t^5.47 + t^5.53 + t^5.63 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 744 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_3^2$ | 0.6427 | 0.7847 | 0.819 | [X:[], M:[1.0, 1.1818, 1.0, 0.8182], q:[0.7727, 0.4091], qb:[0.5909, 0.4091], phi:[0.4545]] | t^2.45 + t^2.73 + 2*t^3. + 2*t^3.55 + 3*t^3.82 + t^4.09 + 2*t^4.36 + 2*t^4.91 + t^5.18 + t^5.45 + 2*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 6843/10648, c: 16711/21296, M1: 1, M2: 13/11, M3: 1, M4: 9/11, q1: 17/22, q2: 9/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
| 749 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6702 | 0.8305 | 0.807 | [X:[], M:[1.0, 1.1534, 0.8959, 0.8466, 0.7178], q:[0.7822, 0.3712], qb:[0.6288, 0.4754], phi:[0.4356]] | t^2.15 + t^2.54 + t^2.61 + t^2.69 + t^3. + t^3.46 + t^3.53 + t^3.77 + t^4.16 + t^4.23 + 2*t^4.31 + t^4.62 + t^4.69 + t^4.77 + t^4.84 + 2*t^5.08 + 2*t^5.15 + t^5.23 + t^5.3 + t^5.38 + 2*t^5.61 + t^5.69 + t^5.93 - t^6. - t^4.31/y - t^4.31*y | detail | |
| 746 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ | 0.6663 | 0.822 | 0.8106 | [X:[], M:[1.0, 1.1636, 0.9332, 0.8364, 0.788], q:[0.7788, 0.3848], qb:[0.6152, 0.4516], phi:[0.4424]] | t^2.36 + t^2.51 + t^2.65 + t^2.8 + t^3. + t^3.49 + t^3.69 + t^3.84 + t^4.04 + t^4.18 + t^4.33 + t^4.53 + t^4.73 + t^4.87 + 3*t^5.02 + 2*t^5.16 + t^5.31 + t^5.36 + t^5.45 + t^5.6 + t^5.65 + t^5.85 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 748 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6696 | 0.8291 | 0.8076 | [X:[], M:[1.0, 1.1494, 0.881, 0.8506, 0.7316], q:[0.7835, 0.3658], qb:[0.6342, 0.4848], phi:[0.4329]] | t^2.19 + t^2.55 + t^2.6 + t^2.64 + t^3. + t^3.45 + t^3.49 + t^3.85 + t^4.21 + t^4.25 + t^4.3 + t^4.39 + t^4.66 + t^4.75 + t^4.79 + t^4.84 + 2*t^5.1 + t^5.15 + 2*t^5.19 + t^5.24 + t^5.29 + t^5.6 + t^5.64 + t^5.69 - t^6. - t^4.3/y - t^4.3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 272 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ | 0.7075 | 0.8653 | 0.8176 | [X:[], M:[1.0, 0.8667, 0.8739, 0.6921], q:[0.8042, 0.5036], qb:[0.4964, 0.6297], phi:[0.3915]] | t^2.08 + t^2.35 + t^2.6 + t^2.62 + t^3. + t^3.9 + 2*t^4.15 + t^4.17 + t^4.2 + t^4.3 + t^4.43 + t^4.55 + t^4.57 + t^4.68 + 2*t^4.7 + 2*t^4.95 + t^4.97 + t^5.08 + t^5.2 + t^5.22 + t^5.24 + t^5.35 - 2*t^6. - t^4.17/y - t^4.17*y | detail |