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 |
---|---|---|---|---|---|---|---|---|---|
50905 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6217 | 0.7664 | 0.8112 | [X:[1.4074], M:[1.0926, 1.0372, 0.9074, 0.5926, 1.0, 0.6851], q:[0.2963, 0.6112], qb:[0.6665, 0.7963], phi:[0.4074]] | [X:[[2]], M:[[-2], [10], [2], [-2], [0], [-4]], q:[[-1], [3]], qb:[[-9], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.055 + t^2.445 + t^2.722 + t^3. + t^3.112 + t^3.278 + t^3.833 + 2*t^4.111 + t^4.222 + t^4.388 + t^4.5 + t^4.778 + t^4.889 + t^5.055 + 2*t^5.167 + t^5.221 + t^5.333 + 2*t^5.445 + t^5.556 + t^5.722 + t^5.888 - t^6. + t^6.166 + t^6.223 + 2*t^6.278 + t^6.444 + 2*t^6.555 + 2*t^6.833 + 2*t^6.945 - t^7.056 + 2*t^7.111 + t^7.222 + t^7.277 + 2*t^7.334 + t^7.388 + 2*t^7.5 + 2*t^7.612 + 2*t^7.666 + t^7.889 + 2*t^7.944 + 2*t^8.001 - 2*t^8.055 + t^8.167 + 3*t^8.221 + t^8.279 + 2*t^8.333 - t^8.445 + 2*t^8.499 + t^8.611 + t^8.668 - t^8.722 + t^8.888 - t^4.222/y - t^6.278/y - t^6.667/y + t^7.111/y - t^7.334/y + t^7.5/y + (2*t^7.778)/y + t^8.055/y + (3*t^8.167)/y + t^8.445/y + t^8.556/y + t^8.722/y + t^8.834/y + t^8.888/y - t^4.222*y - t^6.278*y - t^6.667*y + t^7.111*y - t^7.334*y + t^7.5*y + 2*t^7.778*y + t^8.055*y + 3*t^8.167*y + t^8.445*y + t^8.556*y + t^8.722*y + t^8.834*y + t^8.888*y | t^2.055/g1^4 + g1^4*t^2.445 + g1^2*t^2.722 + t^3. + g1^10*t^3.112 + t^3.278/g1^2 + t^3.833/g1^6 + (2*t^4.111)/g1^8 + g1^2*t^4.222 + t^4.388/g1^10 + t^4.5 + t^4.778/g1^2 + g1^8*t^4.889 + t^5.055/g1^4 + 2*g1^6*t^5.167 + t^5.221/g1^16 + t^5.333/g1^6 + 2*g1^4*t^5.445 + g1^14*t^5.556 + g1^2*t^5.722 + t^5.888/g1^10 - t^6. + t^6.166/g1^12 + g1^20*t^6.223 + (2*t^6.278)/g1^2 + t^6.444/g1^14 + (2*t^6.555)/g1^4 + (2*t^6.833)/g1^6 + 2*g1^4*t^6.945 - g1^14*t^7.056 + (2*t^7.111)/g1^8 + g1^2*t^7.222 + t^7.277/g1^20 + 2*g1^12*t^7.334 + t^7.388/g1^10 + 2*t^7.5 + 2*g1^10*t^7.612 + (2*t^7.666)/g1^12 + g1^8*t^7.889 + (2*t^7.944)/g1^14 + 2*g1^18*t^8.001 - (2*t^8.055)/g1^4 + g1^6*t^8.167 + (3*t^8.221)/g1^16 + g1^16*t^8.279 + (2*t^8.333)/g1^6 - g1^4*t^8.445 + (2*t^8.499)/g1^18 + t^8.611/g1^8 + g1^24*t^8.668 - g1^2*t^8.722 + t^8.888/g1^10 - (g1^2*t^4.222)/y - t^6.278/(g1^2*y) - (g1^6*t^6.667)/y + t^7.111/(g1^8*y) - (g1^12*t^7.334)/y + t^7.5/y + (2*t^7.778)/(g1^2*y) + t^8.055/(g1^4*y) + (3*g1^6*t^8.167)/y + (g1^4*t^8.445)/y + (g1^14*t^8.556)/y + (g1^2*t^8.722)/y + (g1^12*t^8.834)/y + t^8.888/(g1^10*y) - g1^2*t^4.222*y - (t^6.278*y)/g1^2 - g1^6*t^6.667*y + (t^7.111*y)/g1^8 - g1^12*t^7.334*y + t^7.5*y + (2*t^7.778*y)/g1^2 + (t^8.055*y)/g1^4 + 3*g1^6*t^8.167*y + g1^4*t^8.445*y + g1^14*t^8.556*y + g1^2*t^8.722*y + g1^12*t^8.834*y + (t^8.888*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
56157 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.6303 | 0.7806 | 0.8075 | [X:[1.4046], M:[1.0954, 1.0229, 0.9046, 0.5954, 1.0, 0.6909, 0.9046], q:[0.2977, 0.6069], qb:[0.6794, 0.7977], phi:[0.4046]] | t^2.073 + t^2.427 + 2*t^2.714 + t^3. + t^3.069 + t^3.859 + 2*t^4.145 + t^4.214 + t^4.431 + t^4.5 + 2*t^4.786 + t^4.855 + t^5.073 + 3*t^5.141 + t^5.29 + 4*t^5.427 + t^5.496 + t^5.714 + t^5.782 + t^5.931 - 2*t^6. - t^4.214/y - t^4.214*y | detail | |
56155 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6065 | 0.7407 | 0.8188 | [X:[1.4119], M:[1.0881, 1.0595, 0.9119, 0.5881, 1.0, 0.6762, 1.1762], q:[0.294, 0.6179], qb:[0.6464, 0.794], phi:[0.4119]] | t^2.029 + t^2.736 + t^3. + t^3.179 + t^3.264 + t^3.529 + t^3.793 + 2*t^4.057 + t^4.236 + t^4.321 + t^4.764 + t^5.029 + t^5.114 + t^5.207 + t^5.293 + t^5.471 + t^5.557 + t^5.821 - t^6. - t^4.236/y - t^4.236*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 |
---|---|---|---|---|---|---|---|---|---|
48277 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}X_{1}$ | 0.601 | 0.726 | 0.8278 | [X:[1.4067], M:[1.0933, 1.0336, 0.9067, 0.5933, 1.0], q:[0.2966, 0.6101], qb:[0.6697, 0.7966], phi:[0.4067]] | 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^4.22/y - t^4.22*y | detail |