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 |
---|---|---|---|---|---|---|---|---|---|
1432 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{6}$ | 0.7079 | 0.871 | 0.8128 | [M:[1.0434, 0.8699, 1.0434, 0.8699, 1.0, 0.9566], q:[0.4566, 0.5], qb:[0.5, 0.6301], phi:[0.4783]] | [M:[[2], [-6], [2], [-6], [0], [-2]], q:[[-2], [0]], qb:[[0], [6]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}^{2}$ | -3 | 2*t^2.61 + 2*t^2.87 + t^3. + t^3.13 + t^3.26 + t^4.175 + 2*t^4.305 + 3*t^4.435 + t^4.695 + 2*t^4.825 + t^5.216 + 3*t^5.219 + 3*t^5.479 + 5*t^5.74 + 2*t^5.87 - 3*t^6. + t^6.13 + t^6.26 - t^6.39 + 2*t^6.784 + 3*t^6.914 + 6*t^7.044 + 4*t^7.175 + 6*t^7.305 + 3*t^7.435 + 3*t^7.695 + 4*t^7.829 + 2*t^8.086 + 4*t^8.089 + 8*t^8.349 + t^8.476 + t^8.479 + 3*t^8.74 - t^8.87 - t^4.435/y - (2*t^7.044)/y + (2*t^7.825)/y + t^8.219/y + (4*t^8.479)/y + (2*t^8.61)/y + (3*t^8.74)/y + (4*t^8.87)/y - t^4.435*y - 2*t^7.044*y + 2*t^7.825*y + t^8.219*y + 4*t^8.479*y + 2*t^8.61*y + 3*t^8.74*y + 4*t^8.87*y | (2*t^2.61)/g1^6 + (2*t^2.87)/g1^2 + t^3. + g1^2*t^3.13 + g1^4*t^3.26 + t^4.175/g1^5 + (2*t^4.305)/g1^3 + (3*t^4.435)/g1 + g1^3*t^4.695 + 2*g1^5*t^4.825 + g1^11*t^5.216 + (3*t^5.219)/g1^12 + (3*t^5.479)/g1^8 + (5*t^5.74)/g1^4 + (2*t^5.87)/g1^2 - 3*t^6. + g1^2*t^6.13 + g1^4*t^6.26 - g1^6*t^6.39 + (2*t^6.784)/g1^11 + (3*t^6.914)/g1^9 + (6*t^7.044)/g1^7 + (4*t^7.175)/g1^5 + (6*t^7.305)/g1^3 + (3*t^7.435)/g1 + 3*g1^3*t^7.695 + (4*t^7.829)/g1^18 + 2*g1^9*t^8.086 + (4*t^8.089)/g1^14 + (8*t^8.349)/g1^10 + g1^15*t^8.476 + t^8.479/g1^8 + (3*t^8.74)/g1^4 - t^8.87/g1^2 - t^4.435/(g1*y) - (2*t^7.044)/(g1^7*y) + (2*g1^5*t^7.825)/y + t^8.219/(g1^12*y) + (4*t^8.479)/(g1^8*y) + (2*t^8.61)/(g1^6*y) + (3*t^8.74)/(g1^4*y) + (4*t^8.87)/(g1^2*y) - (t^4.435*y)/g1 - (2*t^7.044*y)/g1^7 + 2*g1^5*t^7.825*y + (t^8.219*y)/g1^12 + (4*t^8.479*y)/g1^8 + (2*t^8.61*y)/g1^6 + (3*t^8.74*y)/g1^4 + (4*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
2496 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{6}$ + ${ }M_{3}M_{7}$ | 0.7122 | 0.8791 | 0.8102 | [M:[1.0486, 0.8542, 1.0486, 0.8542, 1.0, 0.9514, 0.9514], q:[0.4514, 0.5], qb:[0.5, 0.6458], phi:[0.4757]] | 2*t^2.563 + 3*t^2.854 + t^3. + t^3.292 + t^4.136 + 2*t^4.281 + 3*t^4.427 + t^4.719 + 2*t^4.864 + 3*t^5.125 + t^5.302 + 5*t^5.417 + 6*t^5.708 + 3*t^5.854 - 5*t^6. - t^4.427/y - t^4.427*y | detail | |
2497 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}M_{7}$ | 0.7041 | 0.864 | 0.815 | [M:[1.0381, 0.8856, 1.0381, 0.8856, 1.0, 0.9619, 1.0381], q:[0.4619, 0.5], qb:[0.5, 0.6144], phi:[0.4809]] | 2*t^2.657 + t^2.886 + t^3. + 2*t^3.114 + t^3.229 + t^4.214 + 2*t^4.328 + 3*t^4.443 + t^4.672 + 2*t^4.786 + t^5.129 + 3*t^5.314 + t^5.542 + 5*t^5.771 + t^5.886 - 3*t^6. - t^4.443/y - t^4.443*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 |
---|---|---|---|---|---|---|---|---|---|
934 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.7172 | 0.8839 | 0.8115 | [M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]] | t^2.401 + t^2.776 + 2*t^2.8 + t^2.825 + t^3. + t^3.399 + t^4.026 + t^4.201 + t^4.375 + t^4.4 + t^4.575 + t^4.625 + t^4.774 + t^4.799 + t^4.803 + t^4.999 + t^5.177 + 2*t^5.202 + t^5.223 + t^5.227 + t^5.551 + t^5.576 + 4*t^5.601 + t^5.626 + t^5.651 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail |