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 |
|---|---|---|---|---|---|---|---|---|---|
| 52059 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.6838 | 0.8483 | 0.8061 | [M:[0.7364, 1.0167, 1.0879, 0.8076, 1.0879, 0.9121], q:[0.4916, 0.772], qb:[0.4916, 0.4205], phi:[0.4561]] | [M:[[12], [22], [-4], [-14], [-4], [4]], q:[[-11], [-1]], qb:[[-11], [15]], phi:[[2]]] | 1 | {a: 144062/210681, c: 357433/421362, M1: 338/459, M2: 1400/1377, M3: 1498/1377, M4: 1112/1377, M5: 1498/1377, M6: 1256/1377, q1: 677/1377, q2: 1063/1377, qb1: 677/1377, qb2: 193/459, phi1: 628/1377} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$ | ${}M_{3}\phi_{1}^{2}$ | -2 | t^2.209 + t^2.423 + 2*t^2.736 + t^3.05 + t^3.264 + t^3.791 + t^3.891 + 2*t^4.105 + 3*t^4.318 + t^4.418 + t^4.632 + t^4.845 + 2*t^4.946 + 2*t^5.159 + t^5.259 + 5*t^5.473 + t^5.686 - 2*t^6. + 2*t^6.1 - t^6.214 + 3*t^6.314 + 5*t^6.527 + 3*t^6.627 + 3*t^6.741 + 3*t^6.841 + t^6.941 + 5*t^7.054 + 2*t^7.155 + t^7.268 + t^7.368 + t^7.468 + t^7.582 + 4*t^7.682 + t^7.782 + 3*t^7.895 + 2*t^7.996 + 2*t^8.109 + 4*t^8.209 + 2*t^8.309 - 2*t^8.423 + 3*t^8.523 + 4*t^8.636 - t^8.736 + 3*t^8.837 + t^8.95 - t^4.368/y - t^6.577/y - t^6.791/y + t^7.318/y - t^7.418/y + t^7.632/y + (3*t^7.946)/y + (3*t^8.159)/y + t^8.259/y + (3*t^8.473)/y + t^8.686/y + t^8.786/y - t^4.368*y - t^6.577*y - t^6.791*y + t^7.318*y - t^7.418*y + t^7.632*y + 3*t^7.946*y + 3*t^8.159*y + t^8.259*y + 3*t^8.473*y + t^8.686*y + t^8.786*y | g1^12*t^2.209 + t^2.423/g1^14 + 2*g1^4*t^2.736 + g1^22*t^3.05 + t^3.264/g1^4 + t^3.791/g1^12 + g1^32*t^3.891 + 2*g1^6*t^4.105 + (3*t^4.318)/g1^20 + g1^24*t^4.418 + t^4.632/g1^2 + t^4.845/g1^28 + 2*g1^16*t^4.946 + (2*t^5.159)/g1^10 + g1^34*t^5.259 + 5*g1^8*t^5.473 + t^5.686/g1^18 - 2*t^6. + 2*g1^44*t^6.1 - t^6.214/g1^26 + 3*g1^18*t^6.314 + (5*t^6.527)/g1^8 + 3*g1^36*t^6.627 + (3*t^6.741)/g1^34 + 3*g1^10*t^6.841 + g1^54*t^6.941 + (5*t^7.054)/g1^16 + 2*g1^28*t^7.155 + t^7.268/g1^42 + g1^2*t^7.368 + g1^46*t^7.468 + t^7.582/g1^24 + 4*g1^20*t^7.682 + g1^64*t^7.782 + (3*t^7.895)/g1^6 + 2*g1^38*t^7.996 + (2*t^8.109)/g1^32 + 4*g1^12*t^8.209 + 2*g1^56*t^8.309 - (2*t^8.423)/g1^14 + 3*g1^30*t^8.523 + (4*t^8.636)/g1^40 - g1^4*t^8.736 + 3*g1^48*t^8.837 + t^8.95/g1^22 - (g1^2*t^4.368)/y - (g1^14*t^6.577)/y - t^6.791/(g1^12*y) + t^7.318/(g1^20*y) - (g1^24*t^7.418)/y + t^7.632/(g1^2*y) + (3*g1^16*t^7.946)/y + (3*t^8.159)/(g1^10*y) + (g1^34*t^8.259)/y + (3*g1^8*t^8.473)/y + t^8.686/(g1^18*y) + (g1^26*t^8.786)/y - g1^2*t^4.368*y - g1^14*t^6.577*y - (t^6.791*y)/g1^12 + (t^7.318*y)/g1^20 - g1^24*t^7.418*y + (t^7.632*y)/g1^2 + 3*g1^16*t^7.946*y + (3*t^8.159*y)/g1^10 + g1^34*t^8.259*y + 3*g1^8*t^8.473*y + (t^8.686*y)/g1^18 + g1^26*t^8.786*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 |
|---|---|---|---|---|---|---|---|---|
| 56410 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6919 | 0.8621 | 0.8026 | [M:[0.7321, 1.0089, 1.0893, 0.8125, 1.0893, 0.9107, 0.9107], q:[0.4955, 0.7723], qb:[0.4955, 0.4152], phi:[0.4554]] | t^2.196 + t^2.438 + 3*t^2.732 + t^3.027 + t^3.804 + t^3.857 + 2*t^4.098 + 3*t^4.339 + t^4.393 + t^4.634 + t^4.875 + 3*t^4.929 + 3*t^5.17 + t^5.223 + 7*t^5.464 + t^5.759 - 4*t^6. - t^4.366/y - t^4.366*y | detail | {a: 63706663/92074800, c: 39688969/46037400, M1: 1014/1385, M2: 4192/4155, M3: 4526/4155, M4: 3376/4155, M5: 4526/4155, M6: 3784/4155, M7: 3784/4155, q1: 2059/4155, q2: 3209/4155, qb1: 2059/4155, qb2: 115/277, phi1: 1892/4155} |
| 56412 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7044 | 0.8881 | 0.7931 | [M:[0.7413, 1.0258, 1.0862, 0.8018, 1.0862, 0.9138, 0.6898], q:[0.4871, 0.7716], qb:[0.4871, 0.4267], phi:[0.4569]] | t^2.069 + t^2.224 + t^2.405 + 2*t^2.741 + t^3.077 + t^3.259 + t^3.776 + 2*t^4.112 + t^4.139 + 4*t^4.293 + t^4.448 + t^4.475 + t^4.629 + 3*t^4.811 + 2*t^4.965 + 3*t^5.147 + t^5.301 + t^5.328 + 5*t^5.483 + t^5.664 + t^5.845 - 2*t^6. - t^4.371/y - t^4.371*y | detail | |
| 56411 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7034 | 0.8849 | 0.795 | [M:[0.7316, 1.0078, 1.0895, 0.8132, 1.0895, 0.9105, 0.7316], q:[0.4961, 0.7724], qb:[0.4961, 0.4144], phi:[0.4553]] | 2*t^2.195 + t^2.44 + 2*t^2.732 + t^3.024 + t^3.268 + t^3.852 + 2*t^4.097 + 3*t^4.342 + 3*t^4.389 + 2*t^4.634 + t^4.879 + 4*t^4.926 + 2*t^5.171 + 2*t^5.218 + 6*t^5.463 + t^5.708 - 3*t^6. - t^4.366/y - t^4.366*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47083 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6958 | 0.8638 | 0.8055 | [M:[0.7814, 0.9672, 0.9672, 0.7814, 1.1257, 0.8743], q:[0.4372, 0.7814], qb:[0.5957, 0.4372], phi:[0.4372]] | 2*t^2.344 + 2*t^2.623 + 2*t^2.902 + 3*t^3.934 + t^4.131 + 2*t^4.41 + 3*t^4.689 + t^4.885 + 4*t^4.967 + 7*t^5.246 + 2*t^5.524 + 3*t^5.803 - 5*t^6. - t^4.311/y - t^4.311*y | detail |