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 |
|---|---|---|---|---|---|---|---|---|---|
| 54922 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6986 | 0.8743 | 0.799 | [M:[0.9932, 0.9328, 1.1276, 0.8724, 0.7517, 0.6913], q:[0.6008, 0.406], qb:[0.4664, 0.7819], phi:[0.4362]] | [M:[[-32], [-22], [12], [-12], [8], [18]], q:[[33], [-1]], qb:[[-11], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.074 + t^2.255 + 2*t^2.617 + t^2.798 + t^2.98 + t^3.564 + t^3.745 + t^4.107 + 2*t^4.148 + 2*t^4.329 + 2*t^4.51 + 2*t^4.691 + 3*t^4.872 + t^4.913 + 2*t^5.054 + 4*t^5.235 + t^5.416 + 2*t^5.597 + t^5.638 + t^5.778 + t^5.819 + t^5.959 - 2*t^6. + t^6.181 + 2*t^6.222 + 3*t^6.362 + 2*t^6.403 + t^6.543 + 2*t^6.584 + 2*t^6.724 + 4*t^6.765 + 4*t^6.946 + t^6.987 + t^7.087 + 5*t^7.128 + t^7.168 + 5*t^7.309 + 4*t^7.49 + t^7.531 + 3*t^7.671 + t^7.712 + 7*t^7.852 + t^7.893 + 3*t^8.033 - 2*t^8.074 + 4*t^8.214 - 2*t^8.255 + 2*t^8.296 + 2*t^8.395 + 3*t^8.477 + 2*t^8.577 - 2*t^8.617 + 3*t^8.658 + t^8.758 - t^8.798 + 3*t^8.839 + t^8.939 - t^4.309/y - t^6.383/y - t^6.564/y - t^6.926/y - t^7.107/y - t^7.288/y + (2*t^7.329)/y + t^7.51/y + (3*t^7.691)/y + (3*t^7.872)/y + (3*t^8.054)/y + (3*t^8.235)/y + (2*t^8.416)/y - t^8.457/y + (2*t^8.597)/y + t^8.778/y + t^8.819/y - t^4.309*y - t^6.383*y - t^6.564*y - t^6.926*y - t^7.107*y - t^7.288*y + 2*t^7.329*y + t^7.51*y + 3*t^7.691*y + 3*t^7.872*y + 3*t^8.054*y + 3*t^8.235*y + 2*t^8.416*y - t^8.457*y + 2*t^8.597*y + t^8.778*y + t^8.819*y | g1^18*t^2.074 + g1^8*t^2.255 + (2*t^2.617)/g1^12 + t^2.798/g1^22 + t^2.98/g1^32 + g1^2*t^3.564 + t^3.745/g1^8 + t^4.107/g1^28 + 2*g1^36*t^4.148 + 2*g1^26*t^4.329 + 2*g1^16*t^4.51 + 2*g1^6*t^4.691 + (3*t^4.872)/g1^4 + g1^60*t^4.913 + (2*t^5.054)/g1^14 + (4*t^5.235)/g1^24 + t^5.416/g1^34 + (2*t^5.597)/g1^44 + g1^20*t^5.638 + t^5.778/g1^54 + g1^10*t^5.819 + t^5.959/g1^64 - 2*t^6. + t^6.181/g1^10 + 2*g1^54*t^6.222 + (3*t^6.362)/g1^20 + 2*g1^44*t^6.403 + t^6.543/g1^30 + 2*g1^34*t^6.584 + (2*t^6.724)/g1^40 + 4*g1^24*t^6.765 + 4*g1^14*t^6.946 + g1^78*t^6.987 + t^7.087/g1^60 + 5*g1^4*t^7.128 + g1^68*t^7.168 + (5*t^7.309)/g1^6 + (4*t^7.49)/g1^16 + g1^48*t^7.531 + (3*t^7.671)/g1^26 + g1^38*t^7.712 + (7*t^7.852)/g1^36 + g1^28*t^7.893 + (3*t^8.033)/g1^46 - 2*g1^18*t^8.074 + (4*t^8.214)/g1^56 - 2*g1^8*t^8.255 + 2*g1^72*t^8.296 + (2*t^8.395)/g1^66 + 3*g1^62*t^8.477 + (2*t^8.577)/g1^76 - (2*t^8.617)/g1^12 + 3*g1^52*t^8.658 + t^8.758/g1^86 - t^8.798/g1^22 + 3*g1^42*t^8.839 + t^8.939/g1^96 - t^4.309/(g1^6*y) - (g1^12*t^6.383)/y - (g1^2*t^6.564)/y - t^6.926/(g1^18*y) - t^7.107/(g1^28*y) - t^7.288/(g1^38*y) + (2*g1^26*t^7.329)/y + (g1^16*t^7.51)/y + (3*g1^6*t^7.691)/y + (3*t^7.872)/(g1^4*y) + (3*t^8.054)/(g1^14*y) + (3*t^8.235)/(g1^24*y) + (2*t^8.416)/(g1^34*y) - (g1^30*t^8.457)/y + (2*t^8.597)/(g1^44*y) + t^8.778/(g1^54*y) + (g1^10*t^8.819)/y - (t^4.309*y)/g1^6 - g1^12*t^6.383*y - g1^2*t^6.564*y - (t^6.926*y)/g1^18 - (t^7.107*y)/g1^28 - (t^7.288*y)/g1^38 + 2*g1^26*t^7.329*y + g1^16*t^7.51*y + 3*g1^6*t^7.691*y + (3*t^7.872*y)/g1^4 + (3*t^8.054*y)/g1^14 + (3*t^8.235*y)/g1^24 + (2*t^8.416*y)/g1^34 - g1^30*t^8.457*y + (2*t^8.597*y)/g1^44 + (t^8.778*y)/g1^54 + g1^10*t^8.819*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 |
|---|---|---|---|---|---|---|---|---|
| 56656 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6796 | 0.8399 | 0.8092 | [M:[0.9879, 0.9292, 1.1295, 0.8705, 0.753, 0.6943, 1.247], q:[0.6062, 0.4059], qb:[0.4646, 0.7824], phi:[0.4352]] | t^2.083 + 2*t^2.611 + t^2.788 + t^2.964 + t^3.565 + 2*t^3.741 + t^4.093 + 2*t^4.166 + t^4.342 + t^4.518 + 2*t^4.694 + t^4.87 + t^4.943 + t^5.047 + 3*t^5.223 + t^5.399 + 2*t^5.575 + t^5.648 + t^5.751 + t^5.824 + t^5.928 - 3*t^6. - t^4.306/y - t^4.306*y | detail | |
| 56658 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ | 0.7143 | 0.9018 | 0.7921 | [M:[0.9912, 0.9315, 1.1283, 0.8717, 0.7522, 0.6924, 0.812], q:[0.6028, 0.406], qb:[0.4657, 0.7821], phi:[0.4359]] | t^2.077 + t^2.257 + t^2.436 + 2*t^2.615 + t^2.794 + t^2.974 + t^3.743 + t^4.102 + 2*t^4.155 + 2*t^4.334 + 3*t^4.513 + 3*t^4.692 + 4*t^4.872 + t^4.924 + 4*t^5.051 + 5*t^5.23 + 2*t^5.409 + 2*t^5.589 + t^5.768 + t^5.947 - 2*t^6. - t^4.308/y - t^4.308*y | detail | |
| 56659 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7176 | 0.9089 | 0.7895 | [M:[0.9983, 0.9363, 1.1256, 0.8744, 0.7504, 0.6884, 0.7504], q:[0.5955, 0.4062], qb:[0.4682, 0.7814], phi:[0.4372]] | t^2.065 + 2*t^2.251 + 2*t^2.623 + t^2.809 + t^2.995 + t^3.563 + t^4.121 + 2*t^4.131 + 3*t^4.317 + 4*t^4.503 + 2*t^4.688 + 5*t^4.874 + t^4.884 + 3*t^5.06 + 5*t^5.246 + t^5.432 + 2*t^5.618 + t^5.628 + t^5.804 + t^5.814 + t^5.99 - 3*t^6. - t^4.312/y - t^4.312*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48278 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6779 | 0.8345 | 0.8124 | [M:[0.9891, 0.93, 1.1291, 0.8709, 0.7527], q:[0.605, 0.4059], qb:[0.465, 0.7823], phi:[0.4355]] | t^2.258 + 2*t^2.613 + t^2.79 + t^2.967 + t^3.565 + t^3.742 + t^3.919 + t^4.096 + t^4.162 + t^4.339 + 2*t^4.516 + 2*t^4.871 + t^4.936 + t^5.048 + 4*t^5.226 + t^5.403 + 2*t^5.58 + t^5.757 + t^5.935 - 2*t^6. - t^4.306/y - t^4.306*y | detail |