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 |
---|---|---|---|---|---|---|---|---|---|
2673 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{7}$ | 0.601 | 0.726 | 0.8278 | [X:[1.4067], M:[1.0336, 0.5933, 0.7202, 0.9067, 1.0933, 1.0, 1.2798], q:[0.6697, 0.2966], qb:[0.6101, 0.7966], phi:[0.4067]] | [X:[[2]], M:[[10], [-2], [6], [2], [-2], [0], [-6]], q:[[-9], [-1]], qb:[[3], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | t^2.44 + t^2.72 + t^3. + t^3.101 + t^3.28 + t^3.839 + t^3.94 + t^4.119 + t^4.22 + t^4.399 + t^4.881 + t^5.161 + t^5.239 + 2*t^5.44 + t^5.541 + t^5.72 - t^6. - t^6.179 + t^6.202 + t^6.28 + t^6.381 + t^6.56 + t^6.661 + t^6.839 + 2*t^6.94 + t^7.119 + 2*t^7.321 + t^7.601 + 2*t^7.679 + 2*t^7.881 + t^7.959 + 2*t^7.982 + 2*t^8.161 + 2*t^8.239 + t^8.339 - t^8.44 + t^8.518 - t^8.619 + t^8.642 - t^8.72 + t^8.821 - t^8.899 - t^4.22/y - t^6.661/y + t^7.119/y - t^7.321/y + t^7.78/y + t^8.161/y + t^8.44/y + t^8.541/y + (2*t^8.72)/y + t^8.821/y - t^4.22*y - t^6.661*y + t^7.119*y - t^7.321*y + t^7.78*y + t^8.161*y + t^8.44*y + t^8.541*y + 2*t^8.72*y + t^8.821*y | g1^4*t^2.44 + g1^2*t^2.72 + t^3. + g1^10*t^3.101 + t^3.28/g1^2 + t^3.839/g1^6 + g1^4*t^3.94 + t^4.119/g1^8 + g1^2*t^4.22 + t^4.399/g1^10 + g1^8*t^4.881 + g1^6*t^5.161 + t^5.239/g1^16 + 2*g1^4*t^5.44 + g1^14*t^5.541 + g1^2*t^5.72 - t^6. - t^6.179/g1^12 + g1^20*t^6.202 + t^6.28/g1^2 + g1^8*t^6.381 + t^6.56/g1^4 + g1^6*t^6.661 + t^6.839/g1^6 + 2*g1^4*t^6.94 + t^7.119/g1^8 + 2*g1^12*t^7.321 + g1^10*t^7.601 + (2*t^7.679)/g1^12 + 2*g1^8*t^7.881 + t^7.959/g1^14 + 2*g1^18*t^7.982 + 2*g1^6*t^8.161 + (2*t^8.239)/g1^16 + t^8.339/g1^6 - g1^4*t^8.44 + t^8.518/g1^18 - t^8.619/g1^8 + g1^24*t^8.642 - g1^2*t^8.72 + g1^12*t^8.821 - t^8.899/g1^10 - (g1^2*t^4.22)/y - (g1^6*t^6.661)/y + t^7.119/(g1^8*y) - (g1^12*t^7.321)/y + t^7.78/(g1^2*y) + (g1^6*t^8.161)/y + (g1^4*t^8.44)/y + (g1^14*t^8.541)/y + (2*g1^2*t^8.72)/y + (g1^12*t^8.821)/y - g1^2*t^4.22*y - g1^6*t^6.661*y + (t^7.119*y)/g1^8 - g1^12*t^7.321*y + (t^7.78*y)/g1^2 + g1^6*t^8.161*y + g1^4*t^8.44*y + g1^14*t^8.541*y + 2*g1^2*t^8.72*y + g1^12*t^8.821*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 |
---|---|---|---|---|---|---|---|---|
4844 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6097 | 0.7407 | 0.8231 | [X:[1.4036], M:[1.0181, 0.5964, 0.7109, 0.9036, 1.0964, 1.0, 1.2891, 0.9036], q:[0.6837, 0.2982], qb:[0.6054, 0.7982], phi:[0.4036]] | t^2.422 + 2*t^2.711 + t^3. + t^3.054 + t^3.867 + t^3.922 + t^4.156 + t^4.211 + t^4.446 + t^4.844 + 2*t^5.133 + t^5.313 + 4*t^5.422 + t^5.476 + t^5.711 + t^5.765 - 2*t^6. - t^4.211/y - t^4.211*y | detail | |
4842 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.5856 | 0.6996 | 0.8371 | [X:[1.4115], M:[1.0576, 0.5885, 0.7346, 0.9115, 1.0885, 1.0, 1.2654, 1.177], q:[0.6482, 0.2942], qb:[0.6173, 0.7942], phi:[0.4115]] | t^2.735 + t^3. + t^3.173 + t^3.265 + t^3.531 + t^3.796 + t^3.969 + t^4.062 + t^4.235 + t^4.327 + t^5.124 + t^5.469 - t^6. - t^4.235/y - t^4.235*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 |
---|---|---|---|---|---|---|---|---|---|
1563 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ | 0.6212 | 0.7642 | 0.8129 | [X:[1.4041], M:[1.0207, 0.5959, 0.7124, 0.9041, 1.0959, 1.0], q:[0.6814, 0.2979], qb:[0.6062, 0.7979], phi:[0.4041]] | t^2.137 + t^2.425 + t^2.712 + t^3. + t^3.062 + t^3.288 + t^3.925 + t^4.15 + t^4.212 + t^4.274 + t^4.438 + t^4.562 + 2*t^4.85 + 2*t^5.137 + t^5.199 + t^5.301 + 3*t^5.425 + t^5.487 + t^5.712 - t^6. - t^4.212/y - t^4.212*y | detail |