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 |
---|---|---|---|---|---|---|---|---|---|
55280 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5708 | 0.7142 | 0.7992 | [M:[1.2793, 1.015, 0.7207, 0.6907, 0.985, 1.1471], q:[0.3454, 0.3754], qb:[0.6396, 0.9339], phi:[0.4264]] | [M:[[-6], [14], [6], [-22], [-14], [4]], q:[[-11], [17]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$ | ${}$ | -1 | t^2.072 + t^2.162 + t^2.955 + t^3.045 + t^3.351 + 2*t^3.441 + t^3.531 + t^3.838 + t^4.144 + t^4.234 + t^4.324 + t^4.721 + t^5.027 + 2*t^5.117 + t^5.207 + t^5.424 + 2*t^5.514 + 2*t^5.604 + t^5.694 + t^5.91 - t^6. + t^6.217 + 2*t^6.306 + 2*t^6.396 + 2*t^6.486 + t^6.576 + t^6.703 + 2*t^6.793 + 2*t^6.883 + t^6.973 + t^7.063 + t^7.099 + 2*t^7.189 + t^7.279 + t^7.496 + 2*t^7.586 + 2*t^7.676 + t^7.766 + t^7.856 + t^7.982 - t^8.072 - t^8.162 + t^8.289 + 2*t^8.379 + 2*t^8.469 + 2*t^8.559 + t^8.649 + t^8.739 + t^8.775 + 2*t^8.865 - t^8.955 - t^4.279/y - t^6.351/y + t^7.234/y + t^8.027/y + (2*t^8.117)/y + (2*t^8.207)/y + (3*t^8.514)/y + (3*t^8.604)/y + t^8.694/y + t^8.91/y - t^4.279*y - t^6.351*y + t^7.234*y + t^8.027*y + 2*t^8.117*y + 2*t^8.207*y + 3*t^8.514*y + 3*t^8.604*y + t^8.694*y + t^8.91*y | t^2.072/g1^22 + g1^6*t^2.162 + t^2.955/g1^14 + g1^14*t^3.045 + t^3.351/g1^24 + 2*g1^4*t^3.441 + g1^32*t^3.531 + t^3.838/g1^6 + t^4.144/g1^44 + t^4.234/g1^16 + g1^12*t^4.324 + g1^2*t^4.721 + t^5.027/g1^36 + (2*t^5.117)/g1^8 + g1^20*t^5.207 + t^5.424/g1^46 + (2*t^5.514)/g1^18 + 2*g1^10*t^5.604 + g1^38*t^5.694 + t^5.91/g1^28 - t^6. + t^6.217/g1^66 + (2*t^6.306)/g1^38 + (2*t^6.396)/g1^10 + 2*g1^18*t^6.486 + g1^46*t^6.576 + t^6.703/g1^48 + (2*t^6.793)/g1^20 + 2*g1^8*t^6.883 + g1^36*t^6.973 + g1^64*t^7.063 + t^7.099/g1^58 + (2*t^7.189)/g1^30 + t^7.279/g1^2 + t^7.496/g1^68 + (2*t^7.586)/g1^40 + (2*t^7.676)/g1^12 + g1^16*t^7.766 + g1^44*t^7.856 + t^7.982/g1^50 - t^8.072/g1^22 - g1^6*t^8.162 + t^8.289/g1^88 + (2*t^8.379)/g1^60 + (2*t^8.469)/g1^32 + (2*t^8.559)/g1^4 + g1^24*t^8.649 + g1^52*t^8.739 + t^8.775/g1^70 + (2*t^8.865)/g1^42 - t^8.955/g1^14 - t^4.279/(g1^2*y) - t^6.351/(g1^24*y) + t^7.234/(g1^16*y) + t^8.027/(g1^36*y) + (2*t^8.117)/(g1^8*y) + (2*g1^20*t^8.207)/y + (3*t^8.514)/(g1^18*y) + (3*g1^10*t^8.604)/y + (g1^38*t^8.694)/y + t^8.91/(g1^28*y) - (t^4.279*y)/g1^2 - (t^6.351*y)/g1^24 + (t^7.234*y)/g1^16 + (t^8.027*y)/g1^36 + (2*t^8.117*y)/g1^8 + 2*g1^20*t^8.207*y + (3*t^8.514*y)/g1^18 + 3*g1^10*t^8.604*y + g1^38*t^8.694*y + (t^8.91*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
56925 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.5829 | 0.7351 | 0.7929 | [M:[1.2885, 0.9934, 0.7115, 0.7246, 1.0066, 1.141, 0.8459], q:[0.3623, 0.3492], qb:[0.6443, 0.9262], phi:[0.4295]] | t^2.134 + t^2.174 + t^2.538 + t^2.98 + t^3.02 + t^3.384 + 2*t^3.423 + t^3.866 + t^4.269 + t^4.308 + t^4.348 + t^4.672 + 2*t^4.711 + t^5.075 + t^5.115 + 2*t^5.154 + t^5.193 + 2*t^5.518 + 3*t^5.557 + t^5.597 + t^5.921 + 2*t^5.961 - t^6. - t^4.289/y - t^4.289*y | detail | |
56926 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.5666 | 0.7034 | 0.8055 | [X:[1.3424], M:[1.2703, 1.0361, 0.7297, 0.6576, 0.9639, 1.1532, 0.7747], q:[0.3288, 0.401], qb:[0.6351, 0.9415], phi:[0.4234]] | t^2.189 + t^2.324 + t^2.892 + t^3.108 + t^3.243 + 2*t^3.459 + t^3.811 + t^4.027 + t^4.378 + t^4.513 + t^4.648 + t^4.73 + t^5.081 + t^5.216 + t^5.297 + t^5.432 + t^5.567 + t^5.649 + 2*t^5.784 - t^6. - t^4.27/y - t^4.27*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 |
---|---|---|---|---|---|---|---|---|---|
46836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6993 | 0.8557 | 0.8173 | [M:[1.0132, 1.0457, 0.9868, 0.8954, 0.9543, 1.0294], q:[0.4477, 0.5391], qb:[0.5066, 0.5655], phi:[0.4853]] | t^2.686 + t^2.863 + t^2.961 + t^3.039 + t^3.088 + t^3.137 + t^3.216 + t^4.142 + t^4.319 + t^4.416 + 2*t^4.495 + t^4.593 + t^4.672 + t^4.691 + t^4.77 + t^4.849 + t^5.372 + t^5.549 + t^5.726 + t^5.775 + t^5.902 + t^5.951 - 2*t^6. - t^4.456/y - t^4.456*y | detail |