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 |
|---|---|---|---|---|---|---|---|---|---|
| 5028 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{8}$ | 0.683 | 0.8581 | 0.796 | [X:[1.3746], M:[1.0, 0.8007, 0.6254, 1.1753, 0.8247, 0.7491, 0.7011, 1.1993], q:[0.5996, 0.4004], qb:[0.7749, 0.4244], phi:[0.4502]] | [X:[[5]], M:[[0], [-8], [-5], [-3], [3], [10], [-12], [8]], q:[[4], [-4]], qb:[[1], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$ | ${}$ | -1 | t^2.103 + t^2.247 + t^2.474 + t^2.701 + t^3. + t^3.072 + t^3.526 + t^3.598 + t^3.825 + t^4.124 + t^4.206 + 2*t^4.351 + t^4.423 + t^4.495 + t^4.577 + t^4.722 + t^4.804 + 3*t^4.948 + t^5.103 + 2*t^5.175 + t^5.247 + t^5.319 + t^5.546 + t^5.629 + 2*t^5.701 + 2*t^5.773 + t^5.845 - t^6. + 2*t^6.072 + t^6.144 + t^6.227 + t^6.299 + t^6.31 + t^6.371 + 2*t^6.454 + t^6.526 + 3*t^6.598 + 2*t^6.67 + t^6.681 + t^6.742 - t^6.753 + t^6.825 + t^6.897 + t^6.907 + t^6.969 + 3*t^7.052 + t^7.124 + 4*t^7.196 + t^7.206 + t^7.278 + 4*t^7.423 + 2*t^7.495 + t^7.567 + 3*t^7.649 + t^7.732 + t^7.794 + 2*t^7.804 + t^7.876 + 3*t^7.948 + 4*t^8.02 + t^8.093 - t^8.103 + 2*t^8.319 + t^8.33 + t^8.392 + t^8.402 + t^8.413 + 2*t^8.546 + 2*t^8.557 + 2*t^8.618 + t^8.701 + 3*t^8.773 + t^8.784 + 4*t^8.845 - t^8.856 + 2*t^8.917 + t^8.989 - t^4.351/y - t^6.454/y - t^6.598/y - t^7.052/y + t^7.351/y + t^7.577/y + t^7.649/y + t^7.722/y + t^7.804/y + t^7.948/y + (2*t^8.103)/y + (2*t^8.175)/y + (2*t^8.247)/y + t^8.319/y + t^8.474/y + t^8.546/y - t^8.557/y + t^8.629/y + t^8.701/y + (2*t^8.773)/y + t^8.928/y - t^4.351*y - t^6.454*y - t^6.598*y - t^7.052*y + t^7.351*y + t^7.577*y + t^7.649*y + t^7.722*y + t^7.804*y + t^7.948*y + 2*t^8.103*y + 2*t^8.175*y + 2*t^8.247*y + t^8.319*y + t^8.474*y + t^8.546*y - t^8.557*y + t^8.629*y + t^8.701*y + 2*t^8.773*y + t^8.928*y | t^2.103/g1^12 + g1^10*t^2.247 + g1^3*t^2.474 + t^2.701/g1^4 + t^3. + g1^11*t^3.072 + t^3.526/g1^3 + g1^8*t^3.598 + g1*t^3.825 + g1^5*t^4.124 + t^4.206/g1^24 + (2*t^4.351)/g1^2 + g1^9*t^4.423 + g1^20*t^4.495 + t^4.577/g1^9 + g1^13*t^4.722 + t^4.804/g1^16 + 3*g1^6*t^4.948 + t^5.103/g1^12 + (2*t^5.175)/g1 + g1^10*t^5.247 + g1^21*t^5.319 + g1^14*t^5.546 + t^5.629/g1^15 + (2*t^5.701)/g1^4 + 2*g1^7*t^5.773 + g1^18*t^5.845 - t^6. + 2*g1^11*t^6.072 + g1^22*t^6.144 + t^6.227/g1^7 + g1^4*t^6.299 + t^6.31/g1^36 + g1^15*t^6.371 + (2*t^6.454)/g1^14 + t^6.526/g1^3 + 3*g1^8*t^6.598 + 2*g1^19*t^6.67 + t^6.681/g1^21 + g1^30*t^6.742 - t^6.753/g1^10 + g1*t^6.825 + g1^12*t^6.897 + t^6.907/g1^28 + g1^23*t^6.969 + (3*t^7.052)/g1^6 + g1^5*t^7.124 + 4*g1^16*t^7.196 + t^7.206/g1^24 + t^7.278/g1^13 + 4*g1^9*t^7.423 + 2*g1^20*t^7.495 + g1^31*t^7.567 + 3*g1^2*t^7.649 + t^7.732/g1^27 + g1^24*t^7.794 + (2*t^7.804)/g1^16 + t^7.876/g1^5 + 3*g1^6*t^7.948 + 4*g1^17*t^8.02 + g1^28*t^8.093 - t^8.103/g1^12 + 2*g1^21*t^8.319 + t^8.33/g1^19 + g1^32*t^8.392 + t^8.402/g1^8 + t^8.413/g1^48 + 2*g1^14*t^8.546 + (2*t^8.557)/g1^26 + 2*g1^25*t^8.618 + t^8.701/g1^4 + 3*g1^7*t^8.773 + t^8.784/g1^33 + 4*g1^18*t^8.845 - t^8.856/g1^22 + 2*g1^29*t^8.917 + g1^40*t^8.989 - t^4.351/(g1^2*y) - t^6.454/(g1^14*y) - (g1^8*t^6.598)/y - t^7.052/(g1^6*y) + t^7.351/(g1^2*y) + t^7.577/(g1^9*y) + (g1^2*t^7.649)/y + (g1^13*t^7.722)/y + t^7.804/(g1^16*y) + (g1^6*t^7.948)/y + (2*t^8.103)/(g1^12*y) + (2*t^8.175)/(g1*y) + (2*g1^10*t^8.247)/y + (g1^21*t^8.319)/y + (g1^3*t^8.474)/y + (g1^14*t^8.546)/y - t^8.557/(g1^26*y) + t^8.629/(g1^15*y) + t^8.701/(g1^4*y) + (2*g1^7*t^8.773)/y + t^8.928/(g1^11*y) - (t^4.351*y)/g1^2 - (t^6.454*y)/g1^14 - g1^8*t^6.598*y - (t^7.052*y)/g1^6 + (t^7.351*y)/g1^2 + (t^7.577*y)/g1^9 + g1^2*t^7.649*y + g1^13*t^7.722*y + (t^7.804*y)/g1^16 + g1^6*t^7.948*y + (2*t^8.103*y)/g1^12 + (2*t^8.175*y)/g1 + 2*g1^10*t^8.247*y + g1^21*t^8.319*y + g1^3*t^8.474*y + g1^14*t^8.546*y - (t^8.557*y)/g1^26 + (t^8.629*y)/g1^15 + (t^8.701*y)/g1^4 + 2*g1^7*t^8.773*y + (t^8.928*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 |
|---|---|---|---|---|---|---|---|---|
| 6636 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{4}M_{9}$ | 0.698 | 0.8845 | 0.7892 | [X:[1.3709], M:[1.0, 0.8065, 0.6291, 1.1775, 0.8225, 0.7418, 0.7098, 1.1935, 0.8225], q:[0.5967, 0.4033], qb:[0.7742, 0.4193], phi:[0.4516]] | t^2.129 + t^2.225 + 2*t^2.468 + t^2.71 + t^3. + t^3.048 + t^3.58 + t^3.823 + t^4.113 + t^4.259 + 2*t^4.355 + t^4.403 + t^4.451 + 2*t^4.597 + 2*t^4.693 + t^4.839 + 5*t^4.935 + t^5.129 + 3*t^5.177 + t^5.225 + t^5.273 + t^5.468 + 2*t^5.516 + 2*t^5.71 + t^5.758 + t^5.806 - 2*t^6. - t^4.355/y - t^4.355*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3156 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6999 | 0.8874 | 0.7887 | [X:[1.3826], M:[1.0, 0.7878, 0.6174, 1.1704, 0.8296, 0.7653, 0.6817], q:[0.6061, 0.3939], qb:[0.7765, 0.4357], phi:[0.4469]] | t^2.045 + t^2.296 + t^2.363 + t^2.489 + t^2.682 + t^3. + t^3.125 + t^3.511 + t^3.83 + t^4.09 + t^4.148 + 2*t^4.341 + t^4.408 + t^4.466 + t^4.534 + t^4.592 + t^4.659 + 2*t^4.727 + t^4.785 + t^4.852 + 3*t^4.977 + 2*t^5.045 + 2*t^5.17 + t^5.296 + t^5.363 + t^5.421 + t^5.489 + t^5.556 + t^5.614 + t^5.682 + 2*t^5.807 + t^5.875 - t^6. - t^4.341/y - t^4.341*y | detail |