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 |
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1595 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ | 0.6513 | 0.7969 | 0.8172 | [X:[1.3565], M:[1.0262, 1.0957, 1.1651, 0.9738, 0.6435, 0.8349, 0.8349], q:[0.7739, 0.3912], qb:[0.5826, 0.4437], phi:[0.4522]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-14]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$ | ${}$ | -2 | 2*t^2.505 + t^2.921 + t^3.079 + t^3.287 + t^3.653 + t^3.704 + t^3.861 + t^4.019 + t^4.069 + t^4.278 + t^4.435 + t^4.852 + 3*t^5.009 + t^5.426 + t^5.583 + 2*t^5.792 - 2*t^6. + 2*t^6.157 + 2*t^6.208 + 2*t^6.366 - t^6.417 + 2*t^6.523 + t^6.574 + t^6.625 + t^6.732 + t^6.782 + 3*t^6.94 + t^7.097 + t^7.306 + 2*t^7.356 + t^7.407 + 4*t^7.514 + t^7.565 + t^7.671 + 2*t^7.722 + t^7.88 + t^7.931 + t^7.981 + t^8.037 + 2*t^8.088 + t^8.139 + 3*t^8.296 - t^8.347 + t^8.454 - 4*t^8.505 + t^8.555 + 2*t^8.662 + 2*t^8.713 + 3*t^8.87 - 3*t^8.921 - t^4.356/y - t^6.861/y + t^7.852/y + t^8.009/y + (2*t^8.426)/y + (2*t^8.583)/y + (2*t^8.792)/y - t^4.356*y - t^6.861*y + t^7.852*y + t^8.009*y + 2*t^8.426*y + 2*t^8.583*y + 2*t^8.792*y | (2*t^2.505)/g1^14 + g1^22*t^2.921 + t^3.079/g1^22 + t^3.287/g1^4 + t^3.653/g1^30 + g1^32*t^3.704 + t^3.861/g1^12 + t^4.019/g1^56 + g1^6*t^4.069 + g1^24*t^4.278 + t^4.435/g1^20 + g1^16*t^4.852 + (3*t^5.009)/g1^28 + g1^8*t^5.426 + t^5.583/g1^36 + (2*t^5.792)/g1^18 - 2*t^6. + (2*t^6.157)/g1^44 + 2*g1^18*t^6.208 + (2*t^6.366)/g1^26 - g1^36*t^6.417 + (2*t^6.523)/g1^70 + t^6.574/g1^8 + g1^54*t^6.625 + t^6.732/g1^52 + g1^10*t^6.782 + (3*t^6.94)/g1^34 + t^7.097/g1^78 + t^7.306/g1^60 + 2*g1^2*t^7.356 + g1^64*t^7.407 + (4*t^7.514)/g1^42 + g1^20*t^7.565 + t^7.671/g1^86 + (2*t^7.722)/g1^24 + t^7.88/g1^68 + t^7.931/g1^6 + g1^56*t^7.981 + t^8.037/g1^112 + (2*t^8.088)/g1^50 + g1^12*t^8.139 + (3*t^8.296)/g1^32 - g1^30*t^8.347 + t^8.454/g1^76 - (4*t^8.505)/g1^14 + g1^48*t^8.555 + (2*t^8.662)/g1^58 + 2*g1^4*t^8.713 + (3*t^8.87)/g1^40 - 3*g1^22*t^8.921 - (g1^2*t^4.356)/y - t^6.861/(g1^12*y) + (g1^16*t^7.852)/y + t^8.009/(g1^28*y) + (2*g1^8*t^8.426)/y + (2*t^8.583)/(g1^36*y) + (2*t^8.792)/(g1^18*y) - g1^2*t^4.356*y - (t^6.861*y)/g1^12 + g1^16*t^7.852*y + (t^8.009*y)/g1^28 + 2*g1^8*t^8.426*y + (2*t^8.583*y)/g1^36 + (2*t^8.792*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
3978 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6715 | 0.835 | 0.8043 | [X:[1.3557], M:[1.0291, 1.0962, 1.1633, 0.9709, 0.6443, 0.8367, 0.8367, 0.7114], q:[0.7741, 0.3892], qb:[0.5816, 0.4475], phi:[0.4519]] | t^2.134 + 2*t^2.51 + t^2.913 + t^3.087 + t^3.289 + t^3.665 + t^3.691 + t^4.04 + t^4.067 + 2*t^4.268 + t^4.443 + 2*t^4.644 + t^4.846 + 3*t^5.02 + t^5.047 + t^5.222 + 2*t^5.423 + t^5.597 + 3*t^5.799 + t^5.825 - 2*t^6. - t^4.356/y - t^4.356*y | detail | |
3977 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6701 | 0.8325 | 0.8049 | [X:[1.36], M:[1.0135, 1.0934, 1.1732, 0.9865, 0.64, 0.8268, 0.8268, 0.7469], q:[0.7733, 0.3999], qb:[0.5866, 0.4269], phi:[0.4533]] | t^2.241 + 2*t^2.48 + t^2.959 + t^3.041 + t^3.28 + t^3.601 + t^3.84 + t^3.921 + t^4.08 + t^4.319 + t^4.4 + t^4.482 + 2*t^4.721 + t^4.88 + 3*t^4.961 + t^5.2 + t^5.281 + t^5.44 + 2*t^5.521 + 2*t^5.76 + t^5.842 - 2*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
1025 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ | 0.6373 | 0.7722 | 0.8253 | [X:[1.3537], M:[1.0366, 1.0976, 1.1585, 0.9634, 0.6463, 0.8415], q:[0.7744, 0.3841], qb:[0.5793, 0.4573], phi:[0.4512]] | t^2.524 + t^2.89 + t^3.11 + t^3.293 + t^3.476 + t^3.658 + t^3.695 + t^3.878 + t^4.061 + t^4.098 + t^4.244 + t^4.463 + t^4.829 + t^5.049 + t^5.817 - t^6. - t^4.354/y - t^4.354*y | detail |