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 |
|---|---|---|---|---|---|---|---|---|---|
| 1946 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ \phi_1q_1\tilde{q}_2$ | 0.5904 | 0.7422 | 0.7955 | [X:[], M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | [X:[], M:[[2], [-2], [0], [0], [0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 51843/87808, c: 65171/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_2M_3$, $ \phi_1q_1^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1M_3$, $ \phi_1^3\tilde{q}_1^2$, $ M_4\phi_1q_2^2$, $ M_1\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$ | 0 | t^2.14 + t^2.41 + t^2.57 + t^2.73 + t^3. + t^3.16 + t^3.43 + t^3.7 + t^3.86 + t^4.29 + t^4.55 + 2*t^4.71 + t^4.82 + t^4.88 + t^4.98 + 3*t^5.14 + 2*t^5.3 + t^5.41 + t^5.46 + 2*t^5.57 + t^5.73 + t^5.84 + t^5.89 + t^6.11 + t^6.16 + t^6.27 + t^6.32 + 2*t^6.43 + t^6.59 + t^6.7 + t^6.86 + t^6.96 - t^7.12 + 2*t^7.13 + t^7.23 + 2*t^7.29 + 2*t^7.39 + 2*t^7.45 + 3*t^7.55 + t^7.61 + 4*t^7.71 + t^7.82 + 3*t^7.88 + t^7.98 + 2*t^8.04 + t^8.2 + t^8.25 + t^8.3 - t^8.41 + 2*t^8.46 + t^8.52 + t^8.57 + t^8.62 + t^8.68 - t^8.73 + t^8.84 + t^8.89 - t^4.29/y - t^6.7/y - t^6.86/y - t^7.02/y + (2*t^7.55)/y + (2*t^7.71)/y + (2*t^7.88)/y + t^7.98/y + (2*t^8.14)/y + (2*t^8.3)/y + t^8.41/y + (3*t^8.57)/y + (2*t^8.73)/y + (2*t^8.84)/y + t^8.89/y - t^4.29*y - t^6.7*y - t^6.86*y - t^7.02*y + 2*t^7.55*y + 2*t^7.71*y + 2*t^7.88*y + t^7.98*y + 2*t^8.14*y + 2*t^8.3*y + t^8.41*y + 3*t^8.57*y + 2*t^8.73*y + 2*t^8.84*y + t^8.89*y | t^2.14 + t^2.41/g1^2 + t^2.57 + g1^2*t^2.73 + t^3. + g1^2*t^3.16 + t^3.43 + t^3.7/g1^2 + t^3.86 + t^4.29 + t^4.55/g1^2 + 2*t^4.71 + t^4.82/g1^4 + g1^2*t^4.88 + t^4.98/g1^2 + 3*t^5.14 + 2*g1^2*t^5.3 + t^5.41/g1^2 + g1^4*t^5.46 + 2*t^5.57 + g1^2*t^5.73 + t^5.84/g1^2 + g1^4*t^5.89 + t^6.11/g1^4 + g1^2*t^6.16 + t^6.27/g1^2 + g1^4*t^6.32 + 2*t^6.43 + g1^2*t^6.59 + t^6.7/g1^2 + t^6.86 + t^6.96/g1^4 - t^7.12/g1^2 + (2*t^7.13)/g1^2 + t^7.23/g1^6 + 2*t^7.29 + (2*t^7.39)/g1^4 + 2*g1^2*t^7.45 + (3*t^7.55)/g1^2 + g1^4*t^7.61 + 4*t^7.71 + t^7.82/g1^4 + 3*g1^2*t^7.88 + t^7.98/g1^2 + 2*g1^4*t^8.04 + g1^6*t^8.2 + t^8.25/g1^4 + g1^2*t^8.3 - t^8.41/g1^2 + 2*g1^4*t^8.46 + t^8.52/g1^6 + t^8.57 + g1^6*t^8.62 + t^8.68/g1^4 - g1^2*t^8.73 + t^8.84/g1^2 + g1^4*t^8.89 - t^4.29/y - t^6.7/(g1^2*y) - t^6.86/y - (g1^2*t^7.02)/y + (2*t^7.55)/(g1^2*y) + (2*t^7.71)/y + (2*g1^2*t^7.88)/y + t^7.98/(g1^2*y) + (2*t^8.14)/y + (2*g1^2*t^8.3)/y + t^8.41/(g1^2*y) + (3*t^8.57)/y + (2*g1^2*t^8.73)/y + (2*t^8.84)/(g1^2*y) + (g1^4*t^8.89)/y - t^4.29*y - (t^6.7*y)/g1^2 - t^6.86*y - g1^2*t^7.02*y + (2*t^7.55*y)/g1^2 + 2*t^7.71*y + 2*g1^2*t^7.88*y + (t^7.98*y)/g1^2 + 2*t^8.14*y + 2*g1^2*t^8.3*y + (t^8.41*y)/g1^2 + 3*t^8.57*y + 2*g1^2*t^8.73*y + (2*t^8.84*y)/g1^2 + g1^4*t^8.89*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 2986 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.5901 | 0.7419 | 0.7954 | [X:[], M:[0.9286, 0.7857, 1.0, 0.7143, 1.2857], q:[0.6786, 0.3929], qb:[0.3214, 0.8929], phi:[0.4286]] | t^2.14 + t^2.36 + t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.43 + t^3.64 + t^3.86 + t^4.29 + t^4.5 + 3*t^4.71 + 2*t^4.93 + 3*t^5.14 + 3*t^5.36 + 3*t^5.57 + 2*t^5.79 + 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 6477/10976, c: 8143/10976, M1: 13/14, M2: 11/14, M3: 1, M4: 5/7, M5: 9/7, q1: 19/28, q2: 11/28, qb1: 9/28, qb2: 25/28, phi1: 3/7} |
| 2988 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.603 | 0.7637 | 0.7896 | [X:[], M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857, 0.8571], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | t^2.14 + t^2.41 + 2*t^2.57 + t^2.73 + t^3. + t^3.16 + t^3.7 + t^3.86 + t^4.29 + t^4.55 + 3*t^4.71 + t^4.82 + t^4.88 + 2*t^4.98 + 5*t^5.14 + 3*t^5.3 + t^5.41 + t^5.46 + 2*t^5.57 + 2*t^5.73 + t^5.89 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 52947/87808, c: 67059/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, M6: 6/7, q1: 11/16, q2: 45/112, qb1: 5/16, qb2: 99/112, phi1: 3/7} |
| 2989 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6092 | 0.7767 | 0.7842 | [X:[], M:[0.8901, 0.8242, 1.0, 0.7143, 1.2857, 0.7472], q:[0.6978, 0.4121], qb:[0.3022, 0.8736], phi:[0.4286]] | t^2.14 + t^2.24 + t^2.47 + t^2.57 + t^2.67 + t^3. + t^3.1 + t^3.43 + t^3.86 + t^4.29 + t^4.38 + t^4.48 + t^4.62 + 3*t^4.71 + 2*t^4.81 + t^4.91 + t^4.95 + t^5.04 + 3*t^5.14 + 3*t^5.24 + 2*t^5.34 + t^5.47 + 2*t^5.57 + 2*t^5.67 + t^5.77 - t^4.29/y - t^4.29*y | detail | |
| 2987 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.5974 | 0.7553 | 0.7909 | [X:[], M:[0.9551, 0.7592, 1.0, 0.7143, 1.2857, 0.902], q:[0.6653, 0.3796], qb:[0.3347, 0.9061], phi:[0.4286]] | t^2.14 + t^2.28 + t^2.57 + t^2.71 + t^2.87 + t^3. + t^3.43 + t^3.56 + t^3.86 + t^4.29 + t^4.42 + t^4.55 + 2*t^4.71 + 2*t^4.85 + t^4.98 + t^5.01 + 3*t^5.14 + 2*t^5.28 + t^5.41 + t^5.44 + 2*t^5.57 + 2*t^5.71 + t^5.73 + t^5.84 - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 610 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ | 0.6976 | 0.853 | 0.8178 | [X:[], M:[0.9761, 0.9721, 1.0, 0.9482, 1.0518], q:[0.5379, 0.4861], qb:[0.4621, 0.5657], phi:[0.487]] | t^2.84 + 2*t^2.92 + t^2.93 + t^3. + t^3.16 + t^3.31 + t^4.23 + t^4.31 + t^4.38 + t^4.46 + t^4.53 + t^4.54 + t^4.62 + t^4.69 + t^4.77 + t^4.86 + t^5.77 + t^5.83 + 3*t^5.84 + t^5.85 + t^5.86 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail |