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 |
---|---|---|---|---|---|---|---|---|---|
46560 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6698 | 0.8297 | 0.8073 | [M:[1.1533, 0.9823, 0.8467, 0.7363, 0.8719], q:[0.3682, 0.4785], qb:[0.6495, 0.7852], phi:[0.4297]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -15]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$ | ${}$ | -2 | t^2.209 + t^2.54 + t^2.578 + t^2.616 + t^2.947 + t^3.46 + t^3.498 + t^3.829 + t^4.16 + t^4.304 + t^4.342 + t^4.418 + t^4.673 + t^4.749 + t^4.787 + t^4.825 + t^5.08 + t^5.118 + 2*t^5.156 + t^5.186 + t^5.194 + t^5.232 + t^5.525 + t^5.563 + t^5.707 + t^5.894 - 2*t^6. + 2*t^6.038 + 2*t^6.076 + t^6.114 - t^6.331 + t^6.369 + t^6.407 + t^6.445 + t^6.551 + t^6.627 + t^6.7 + t^6.738 + t^6.776 - t^6.844 + t^6.882 + t^6.92 + 2*t^6.958 + 2*t^6.996 + t^7.034 + t^7.107 + t^7.289 + 2*t^7.327 + 2*t^7.365 + t^7.395 + t^7.403 + t^7.441 - t^7.582 + t^7.62 + 2*t^7.658 + t^7.696 + 2*t^7.734 + t^7.764 + 2*t^7.772 + t^7.802 + t^7.81 + t^7.84 + t^7.848 + t^7.916 + t^7.989 - t^8.095 + 2*t^8.103 + t^8.141 + t^8.179 - 3*t^8.209 + t^8.247 + t^8.285 + t^8.32 + t^8.323 + t^8.472 + t^8.51 - 3*t^8.54 - t^8.578 - t^8.616 + t^8.646 + 2*t^8.654 + t^8.684 + 2*t^8.692 + t^8.73 + t^8.76 + t^8.833 + t^8.836 + t^8.841 - t^8.871 - 2*t^8.947 + t^8.985 - t^4.289/y - t^6.498/y - t^6.867/y - t^6.905/y - t^7.236/y + t^7.342/y + t^7.673/y + t^7.711/y + t^7.749/y + t^7.787/y + t^7.825/y + t^8.08/y + t^8.118/y + (2*t^8.156)/y + t^8.194/y + t^8.487/y + t^8.525/y + t^8.563/y + t^8.669/y - t^4.289*y - t^6.498*y - t^6.867*y - t^6.905*y - t^7.236*y + t^7.342*y + t^7.673*y + t^7.711*y + t^7.749*y + t^7.787*y + t^7.825*y + t^8.08*y + t^8.118*y + 2*t^8.156*y + t^8.194*y + t^8.487*y + t^8.525*y + t^8.563*y + t^8.669*y | (g1^2*t^2.209)/g2^16 + (g2^7*t^2.54)/g1 + t^2.578/g2^4 + (g1*t^2.616)/g2^15 + (g2^8*t^2.947)/g1^2 + (g1*t^3.46)/g2^7 + (g1^2*t^3.498)/g2^18 + (g2^5*t^3.829)/g1 + (g2^28*t^4.16)/g1^4 + g1*g2*t^4.304 + (g1^2*t^4.342)/g2^10 + (g1^4*t^4.418)/g2^32 + (g2^13*t^4.673)/g1 + (g1*t^4.749)/g2^9 + (g1^2*t^4.787)/g2^20 + (g1^3*t^4.825)/g2^31 + (g2^14*t^5.08)/g1^2 + (g2^3*t^5.118)/g1 + (2*t^5.156)/g2^8 + (g1^2*t^5.186)/g2^2 + (g1*t^5.194)/g2^19 + (g1^2*t^5.232)/g2^30 + (g2^4*t^5.525)/g1^2 + t^5.563/(g1*g2^7) + (g1^4*t^5.707)/g2^34 + (g2^16*t^5.894)/g1^4 - 2*t^6. + (2*g1*t^6.038)/g2^11 + (2*g1^2*t^6.076)/g2^22 + (g1^3*t^6.114)/g2^33 - (g2^23*t^6.331)/g1^3 + (g2^12*t^6.369)/g1^2 + (g2*t^6.407)/g1 + t^6.445/g2^10 + (g1^4*t^6.551)/g2^26 + (g1^6*t^6.627)/g2^48 + (g2^35*t^6.7)/g1^5 + (g2^24*t^6.738)/g1^4 + (g2^13*t^6.776)/g1^3 - g2^8*t^6.844 + (g1*t^6.882)/g2^3 + (g1^2*t^6.92)/g2^14 + (2*g1^3*t^6.958)/g2^25 + (2*g1^4*t^6.996)/g2^36 + (g1^5*t^7.034)/g2^47 + (g2^36*t^7.107)/g1^6 + t^7.289/g2^2 + (2*g1*t^7.327)/g2^13 + (2*g1^2*t^7.365)/g2^24 + (g1^4*t^7.395)/g2^18 + (g1^3*t^7.403)/g2^35 + (g1^4*t^7.441)/g2^46 - (g2^32*t^7.582)/g1^4 + (g2^21*t^7.62)/g1^3 + (2*g2^10*t^7.658)/g1^2 + t^7.696/(g1*g2) + (2*t^7.734)/g2^12 + (g1^2*t^7.764)/g2^6 + (2*g1*t^7.772)/g2^23 + (g1^3*t^7.802)/g2^17 + (g1^2*t^7.81)/g2^34 + (g1^4*t^7.84)/g2^28 + (g1^3*t^7.848)/g2^45 + (g1^6*t^7.916)/g2^50 + (g2^33*t^7.989)/g1^5 - (g2^17*t^8.095)/g1 + (2*t^8.103)/g1^2 + t^8.141/(g1*g2^11) + t^8.179/g2^22 - (3*g1^2*t^8.209)/g2^16 + (g1^3*t^8.247)/g2^27 + (g1^4*t^8.285)/g2^38 + (g2^56*t^8.32)/g1^8 + (g1^5*t^8.323)/g2^49 + (g2^12*t^8.472)/g1^4 + (g2*t^8.51)/g1^3 - (3*g2^7*t^8.54)/g1 - t^8.578/g2^4 - (g1*t^8.616)/g2^15 + (g1^3*t^8.646)/g2^9 + (2*g1^2*t^8.654)/g2^26 + (g1^4*t^8.684)/g2^20 + (2*g1^3*t^8.692)/g2^37 + (g1^4*t^8.73)/g2^48 + (g1^6*t^8.76)/g2^42 + (g2^41*t^8.833)/g1^5 + (g1^8*t^8.836)/g2^64 + (g2^24*t^8.841)/g1^6 - (g2^30*t^8.871)/g1^4 - (2*g2^8*t^8.947)/g1^2 + t^8.985/(g1*g2^3) - t^4.289/(g2^2*y) - (g1^2*t^6.498)/(g2^18*y) - t^6.867/(g2^6*y) - (g1*t^6.905)/(g2^17*y) - (g2^6*t^7.236)/(g1^2*y) + (g1^2*t^7.342)/(g2^10*y) + (g2^13*t^7.673)/(g1*y) + (g2^2*t^7.711)/y + (g1*t^7.749)/(g2^9*y) + (g1^2*t^7.787)/(g2^20*y) + (g1^3*t^7.825)/(g2^31*y) + (g2^14*t^8.08)/(g1^2*y) + (g2^3*t^8.118)/(g1*y) + (2*t^8.156)/(g2^8*y) + (g1*t^8.194)/(g2^19*y) + (g2^15*t^8.487)/(g1^3*y) + (g2^4*t^8.525)/(g1^2*y) + t^8.563/(g1*g2^7*y) + (g1^3*t^8.669)/(g2^23*y) - (t^4.289*y)/g2^2 - (g1^2*t^6.498*y)/g2^18 - (t^6.867*y)/g2^6 - (g1*t^6.905*y)/g2^17 - (g2^6*t^7.236*y)/g1^2 + (g1^2*t^7.342*y)/g2^10 + (g2^13*t^7.673*y)/g1 + g2^2*t^7.711*y + (g1*t^7.749*y)/g2^9 + (g1^2*t^7.787*y)/g2^20 + (g1^3*t^7.825*y)/g2^31 + (g2^14*t^8.08*y)/g1^2 + (g2^3*t^8.118*y)/g1 + (2*t^8.156*y)/g2^8 + (g1*t^8.194*y)/g2^19 + (g2^15*t^8.487*y)/g1^3 + (g2^4*t^8.525*y)/g1^2 + (t^8.563*y)/(g1*g2^7) + (g1^3*t^8.669*y)/g2^23 |
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 |
---|---|---|---|---|---|---|---|---|
46843 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ | 0.6651 | 0.8215 | 0.8096 | [M:[1.1482, 1.0528, 0.8518, 0.7461, 0.9472], q:[0.3731, 0.4788], qb:[0.5741, 0.7751], phi:[0.4497]] | t^2.238 + t^2.555 + t^2.698 + t^2.841 + t^3.159 + t^3.445 + t^3.588 + t^3.905 + t^4.048 + t^4.191 + t^4.222 + t^4.477 + t^4.508 + 2*t^4.794 + t^4.937 + t^5.08 + t^5.111 + t^5.254 + 2*t^5.397 + t^5.54 + t^5.683 + t^5.826 + t^5.857 - t^6. - t^4.349/y - t^4.349*y | detail | |
46948 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6669 | 0.8242 | 0.8092 | [M:[1.1719, 0.9689, 0.8281, 0.7812, 0.922], q:[0.3906, 0.4375], qb:[0.6405, 0.7812], phi:[0.4375]] | t^2.344 + t^2.484 + t^2.625 + t^2.766 + t^2.907 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.265 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + 2*t^4.969 + 2*t^5.11 + t^5.156 + 2*t^5.25 + t^5.391 + 2*t^5.532 + t^5.673 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | |
47271 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6596 | 0.8132 | 0.8111 | [M:[1.1671, 1.0406, 0.8329, 0.7923, 1.0], q:[0.3962, 0.4368], qb:[0.5632, 0.7709], phi:[0.4582]] | t^2.377 + t^2.499 + t^2.749 + t^3. + t^3.122 + t^3.501 + t^3.752 + t^3.874 + t^3.995 + t^4.002 + t^4.253 + t^4.375 + 2*t^4.754 + t^4.876 + t^4.998 + t^5.126 + t^5.248 + t^5.377 + 2*t^5.499 + t^5.749 + t^5.871 - t^6. - t^4.375/y - t^4.375*y | detail | |
46820 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6898 | 0.8671 | 0.7956 | [M:[1.1511, 0.9905, 0.8489, 0.7331, 0.8747, 0.7202], q:[0.3665, 0.4824], qb:[0.6429, 0.7846], phi:[0.4309]] | t^2.161 + t^2.199 + t^2.547 + t^2.585 + t^2.624 + t^2.972 + t^3.453 + t^3.492 + t^4.187 + t^4.282 + 2*t^4.321 + t^4.36 + t^4.398 + t^4.669 + t^4.707 + 2*t^4.746 + 2*t^4.785 + t^4.823 + t^5.094 + 2*t^5.132 + t^5.15 + 2*t^5.171 + t^5.209 + t^5.248 + t^5.557 + t^5.596 + t^5.614 + t^5.652 + t^5.691 + t^5.943 - 2*t^6. - t^4.293/y - t^4.293*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 |
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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 |
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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 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7297 | 0.8972 | 0.8133 | [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^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y | detail |