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 |
|---|---|---|---|---|---|---|---|---|---|
| 46784 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7026 | 0.8611 | 0.8159 | [X:[], M:[1.0181, 0.8739, 0.9819, 1.054, 0.946], q:[0.527, 0.4549], qb:[0.5991, 0.4911], phi:[0.482]] | [X:[], M:[[4, 12], [-20, 4], [-4, -12], [8, -8], [-8, 8]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_5^2$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_1M_5$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$ | . | -2 | t^2.62 + t^2.84 + t^2.89 + t^2.95 + t^3.05 + t^3.16 + t^3.27 + t^4.18 + t^4.28 + 2*t^4.39 + t^4.5 + 2*t^4.61 + t^4.72 + t^4.82 + t^5.04 + t^5.24 + t^5.46 + t^5.51 + t^5.68 + t^5.73 + t^5.78 + t^5.84 + t^5.89 + t^5.95 - 2*t^6. + t^6.05 + t^6.11 + t^6.16 - t^6.22 + t^6.33 + t^6.54 + t^6.8 + t^6.91 + 2*t^7.01 + t^7.07 + 2*t^7.12 + t^7.18 + 3*t^7.23 + t^7.28 + 3*t^7.34 + 3*t^7.45 + 3*t^7.55 + 3*t^7.66 - t^7.72 + 2*t^7.77 - t^7.82 + t^7.86 + 2*t^7.88 + 2*t^7.99 + t^8.08 + t^8.1 + t^8.14 - t^8.15 + t^8.2 + t^8.3 + t^8.31 + 2*t^8.35 + t^8.41 + t^8.46 + 3*t^8.57 - 2*t^8.62 + 3*t^8.68 - t^8.73 + 4*t^8.78 + t^8.79 - 4*t^8.84 + t^8.89 - 3*t^8.95 - t^4.45/y - t^7.07/y - t^7.34/y + t^7.55/y + t^7.82/y + t^8.46/y + t^8.51/y + t^8.57/y + t^8.68/y + t^8.73/y + (2*t^8.78)/y + t^8.84/y + (2*t^8.89)/y + t^8.95/y - t^4.45*y - t^7.07*y - t^7.34*y + t^7.55*y + t^7.82*y + t^8.46*y + t^8.51*y + t^8.57*y + t^8.68*y + t^8.73*y + 2*t^8.78*y + t^8.84*y + 2*t^8.89*y + t^8.95*y | (g2^4*t^2.62)/g1^20 + (g2^8*t^2.84)/g1^8 + t^2.89/(g1^6*g2^2) + t^2.95/(g1^4*g2^12) + g1^4*g2^12*t^3.05 + (g1^8*t^3.16)/g2^8 + g1^16*g2^16*t^3.27 + t^4.18/(g1^19*g2^17) + (g2^7*t^4.28)/g1^11 + t^4.39/(g1^7*g2^13) + (g2^31*t^4.39)/g1^3 + g1*g2^11*t^4.5 + (2*g1^5*t^4.61)/g2^9 + g1^13*g2^15*t^4.72 + (g1^17*t^4.82)/g2^5 + (g1^29*t^5.04)/g2 + (g2^8*t^5.24)/g1^40 + (g2^12*t^5.46)/g1^28 + (g2^2*t^5.51)/g1^26 + (g2^16*t^5.68)/g1^16 + (g2^6*t^5.73)/g1^14 + t^5.78/(g1^12*g2^4) + t^5.84/(g1^10*g2^14) + (g2^20*t^5.89)/g1^4 + (g2^10*t^5.95)/g1^2 - 2*t^6. + (g1^2*t^6.05)/g2^10 + g1^8*g2^24*t^6.11 + g1^10*g2^14*t^6.16 - g1^12*g2^4*t^6.22 + g1^20*g2^28*t^6.33 + g1^32*g2^32*t^6.54 + t^6.8/(g1^39*g2^13) + (g2^11*t^6.91)/g1^31 + t^7.01/(g1^27*g2^9) + (g2^35*t^7.01)/g1^23 + t^7.07/(g1^25*g2^19) + t^7.12/(g1^23*g2^29) + (g2^15*t^7.12)/g1^19 + (g2^5*t^7.18)/g1^17 + (2*t^7.23)/(g1^15*g2^5) + (g2^39*t^7.23)/g1^11 + (g2^29*t^7.28)/g1^9 + t^7.34/(g1^11*g2^25) + (2*g2^19*t^7.34)/g1^7 + (2*t^7.45)/(g1^3*g2) + g1*g2^43*t^7.45 + t^7.5/(g1*g2^11) - g1^3*g2^33*t^7.5 + (g1*t^7.55)/g2^21 + 2*g1^5*g2^23*t^7.55 + 2*g1^9*g2^3*t^7.66 + g1^13*g2^47*t^7.66 - (g1^11*t^7.72)/g2^7 + (g1^13*t^7.77)/g2^17 + g1^17*g2^27*t^7.77 - g1^19*g2^17*t^7.82 + (g2^12*t^7.86)/g1^60 + 2*g1^21*g2^7*t^7.88 + (g1^25*t^7.99)/g2^13 + g1^29*g2^31*t^7.99 + (g2^16*t^8.08)/g1^48 + g1^33*g2^11*t^8.1 + (g2^6*t^8.14)/g1^46 - g1^35*g2*t^8.15 + (g1^37*t^8.2)/g2^9 + (g2^20*t^8.3)/g1^36 + g1^45*g2^15*t^8.31 + t^8.35/(g1^38*g2^34) + (g2^10*t^8.35)/g1^34 + t^8.41/g1^32 + t^8.46/(g1^30*g2^10) - t^8.51/(g1^28*g2^20) + (g2^24*t^8.51)/g1^24 + t^8.57/(g1^26*g2^30) + (2*g2^14*t^8.57)/g1^22 - (2*g2^4*t^8.62)/g1^20 + (2*t^8.68)/(g1^18*g2^6) + (g2^38*t^8.68)/g1^14 - t^8.73/(g1^16*g2^16) + (2*t^8.78)/(g1^14*g2^26) + (2*g2^18*t^8.78)/g1^10 + (g2^62*t^8.79)/g1^6 - (4*g2^8*t^8.84)/g1^8 + (g2^42*t^8.89)/g1^2 - (3*t^8.95)/(g1^4*g2^12) - t^4.45/(g1^3*g2*y) - (g2^3*t^7.07)/(g1^23*y) - t^7.34/(g1^9*g2^3*y) + (g1^3*g2*t^7.55)/y + (g1^17*t^7.82)/(g2^5*y) + (g2^12*t^8.46)/(g1^28*y) + (g2^2*t^8.51)/(g1^26*y) + t^8.57/(g1^24*g2^8*y) + (g2^16*t^8.68)/(g1^16*y) + (g2^6*t^8.73)/(g1^14*y) + (2*t^8.78)/(g1^12*g2^4*y) + t^8.84/(g1^10*g2^14*y) + (2*g2^20*t^8.89)/(g1^4*y) + (g2^10*t^8.95)/(g1^2*y) - (t^4.45*y)/(g1^3*g2) - (g2^3*t^7.07*y)/g1^23 - (t^7.34*y)/(g1^9*g2^3) + g1^3*g2*t^7.55*y + (g1^17*t^7.82*y)/g2^5 + (g2^12*t^8.46*y)/g1^28 + (g2^2*t^8.51*y)/g1^26 + (t^8.57*y)/(g1^24*g2^8) + (g2^16*t^8.68*y)/g1^16 + (g2^6*t^8.73*y)/g1^14 + (2*t^8.78*y)/(g1^12*g2^4) + (t^8.84*y)/(g1^10*g2^14) + (2*g2^20*t^8.89*y)/g1^4 + (g2^10*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 47092 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_6$ | 0.7054 | 0.8656 | 0.815 | [X:[], M:[1.0419, 0.8743, 0.9581, 1.0419, 0.9581, 0.9581], q:[0.521, 0.4371], qb:[0.6048, 0.521], phi:[0.479]] | t^2.62 + 4*t^2.87 + t^3.13 + t^3.38 + t^4.06 + 2*t^4.31 + 4*t^4.56 + 2*t^4.81 + t^5.07 + t^5.25 + 3*t^5.5 + 7*t^5.75 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 48233 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_4M_6$ | 0.7087 | 0.8731 | 0.8117 | [X:[], M:[1.0071, 0.841, 0.9929, 1.076, 0.924, 0.924], q:[0.538, 0.4549], qb:[0.6211, 0.4692], phi:[0.4792]] | t^2.52 + 2*t^2.77 + t^2.88 + t^2.98 + t^3.02 + t^3.27 + t^4.17 + t^4.21 + t^4.25 + t^4.42 + t^4.46 + 2*t^4.67 + t^4.71 + t^4.91 + t^5.05 + t^5.16 + 2*t^5.3 + t^5.4 + 3*t^5.54 + 2*t^5.65 + t^5.75 + 2*t^5.79 + t^5.85 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 47177 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ | 0.6987 | 0.854 | 0.8181 | [X:[], M:[1.0303, 0.9091, 0.9697, 1.0303, 0.9697, 1.0303], q:[0.5152, 0.4545], qb:[0.5758, 0.5152], phi:[0.4848]] | t^2.73 + 2*t^2.91 + 3*t^3.09 + t^3.27 + t^4.18 + 2*t^4.36 + 4*t^4.55 + 2*t^4.73 + t^4.91 + t^5.45 + t^5.64 + 2*t^5.82 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 2029/2904, c: 310/363, M1: 34/33, M2: 10/11, M3: 32/33, M4: 34/33, M5: 32/33, M6: 34/33, q1: 17/33, q2: 5/11, qb1: 19/33, qb2: 17/33, phi1: 16/33} |
| 46828 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5^2$ | 0.697 | 0.8525 | 0.8176 | [X:[], M:[1.0463, 0.9537, 0.9537, 1.0, 1.0], q:[0.5, 0.4537], qb:[0.5463, 0.5463], phi:[0.4884]] | 2*t^2.86 + t^2.93 + 2*t^3. + t^3.14 + t^3.28 + t^4.19 + t^4.33 + 3*t^4.47 + 2*t^4.6 + 3*t^4.74 + t^5.72 + 2*t^5.79 + 2*t^5.86 + 2*t^5.93 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 47054 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6303 | 0.778 | 0.8102 | [X:[], M:[1.2039, 1.0252, 0.7961, 0.8855, 1.1145], q:[0.4427, 0.3534], qb:[0.5321, 0.7612], phi:[0.4777]] | t^2.39 + t^2.66 + t^2.87 + t^3.08 + t^3.34 + t^3.55 + t^3.61 + t^3.82 + t^3.88 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.78 + t^5.04 + t^5.25 + t^5.31 + t^5.52 + t^5.73 + 2*t^5.94 - t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46128 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |