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 |
---|---|---|---|---|---|---|---|---|---|
47141 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6487 | 0.7997 | 0.8112 | [M:[1.1684, 1.0791, 0.8316, 0.8087, 1.0561], q:[0.4043, 0.4273], qb:[0.5166, 0.764], phi:[0.4719]] | [M:[[12], [-30], [-12], [22], [4]], q:[[11], [-23]], qb:[[19], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$ | ${}$ | -1 | t^2.426 + t^2.495 + t^2.832 + t^3.168 + t^3.237 + t^3.505 + 2*t^3.842 + t^3.911 + t^3.98 + t^4.179 + t^4.247 + t^4.515 + t^4.852 + t^4.921 + t^4.99 + t^5.258 + t^5.327 + t^5.594 + 2*t^5.663 - t^6. + t^6.268 + 2*t^6.337 + 2*t^6.406 + 2*t^6.474 + t^6.605 + 3*t^6.673 + t^6.742 + t^6.811 + t^6.941 + 2*t^7.01 + t^7.079 + t^7.217 + t^7.278 + 3*t^7.347 + t^7.485 + 3*t^7.684 + 2*t^7.753 + 2*t^7.821 + t^7.89 + t^7.959 + 3*t^8.02 + 2*t^8.089 + t^8.158 + t^8.227 + 2*t^8.357 - 2*t^8.426 - t^8.564 + 2*t^8.694 + t^8.763 + 2*t^8.9 + t^8.969 - t^4.416/y - t^6.842/y + t^7.179/y - t^7.653/y + t^7.921/y + t^7.99/y + t^8.258/y + t^8.327/y + t^8.594/y + (2*t^8.663)/y + t^8.732/y + t^8.931/y - t^4.416*y - t^6.842*y + t^7.179*y - t^7.653*y + t^7.921*y + t^7.99*y + t^8.258*y + t^8.327*y + t^8.594*y + 2*t^8.663*y + t^8.732*y + t^8.931*y | g1^22*t^2.426 + t^2.495/g1^12 + t^2.832/g1^4 + g1^4*t^3.168 + t^3.237/g1^30 + g1^12*t^3.505 + 2*g1^20*t^3.842 + t^3.911/g1^14 + t^3.98/g1^48 + g1^28*t^4.179 + t^4.247/g1^6 + g1^36*t^4.515 + g1^44*t^4.852 + g1^10*t^4.921 + t^4.99/g1^24 + g1^18*t^5.258 + t^5.327/g1^16 + g1^26*t^5.594 + (2*t^5.663)/g1^8 - t^6. + g1^42*t^6.268 + 2*g1^8*t^6.337 + (2*t^6.406)/g1^26 + (2*t^6.474)/g1^60 + g1^50*t^6.605 + 3*g1^16*t^6.673 + t^6.742/g1^18 + t^6.811/g1^52 + g1^58*t^6.941 + 2*g1^24*t^7.01 + t^7.079/g1^10 + t^7.217/g1^78 + g1^66*t^7.278 + 3*g1^32*t^7.347 + t^7.485/g1^36 + 3*g1^40*t^7.684 + 2*g1^6*t^7.753 + (2*t^7.821)/g1^28 + t^7.89/g1^62 + t^7.959/g1^96 + 3*g1^48*t^8.02 + 2*g1^14*t^8.089 + t^8.158/g1^20 + t^8.227/g1^54 + 2*g1^56*t^8.357 - 2*g1^22*t^8.426 - t^8.564/g1^46 + 2*g1^64*t^8.694 + g1^30*t^8.763 + (2*t^8.9)/g1^38 + t^8.969/g1^72 - t^4.416/(g1^2*y) - (g1^20*t^6.842)/y + (g1^28*t^7.179)/y - t^7.653/(g1^32*y) + (g1^10*t^7.921)/y + t^7.99/(g1^24*y) + (g1^18*t^8.258)/y + t^8.327/(g1^16*y) + (g1^26*t^8.594)/y + (2*t^8.663)/(g1^8*y) + t^8.732/(g1^42*y) + (g1^34*t^8.931)/y - (t^4.416*y)/g1^2 - g1^20*t^6.842*y + g1^28*t^7.179*y - (t^7.653*y)/g1^32 + g1^10*t^7.921*y + (t^7.99*y)/g1^24 + g1^18*t^8.258*y + (t^8.327*y)/g1^16 + g1^26*t^8.594*y + (2*t^8.663*y)/g1^8 + (t^8.732*y)/g1^42 + g1^34*t^8.931*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 |
---|---|---|---|---|---|---|---|---|
55585 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}M_{6}$ | 0.654 | 0.8084 | 0.8089 | [M:[1.1707, 1.0733, 0.8293, 0.8129, 1.0569, 0.9431], q:[0.4064, 0.4229], qb:[0.5202, 0.7642], phi:[0.4716]] | t^2.439 + t^2.488 + 2*t^2.829 + t^3.22 + t^3.512 + 2*t^3.853 + t^3.903 + t^3.952 + t^4.195 + t^4.244 + t^4.536 + t^4.877 + t^4.927 + t^4.976 + 2*t^5.268 + 2*t^5.317 + 3*t^5.659 - 2*t^6. - t^4.415/y - t^4.415*y | detail | |
55609 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6696 | 0.8411 | 0.796 | [M:[1.1677, 1.0808, 0.8323, 0.8074, 1.0559, 0.6707], q:[0.4037, 0.4286], qb:[0.5155, 0.764], phi:[0.4721]] | t^2.012 + t^2.422 + t^2.497 + t^2.832 + t^3.168 + t^3.242 + t^3.503 + 2*t^3.838 + t^3.913 + t^4.024 + t^4.174 + t^4.248 + t^4.434 + 2*t^4.509 + 2*t^4.845 + t^4.919 + t^4.994 + t^5.18 + 2*t^5.255 + t^5.329 + t^5.515 + t^5.59 + 2*t^5.665 + 2*t^5.851 + t^5.925 - t^6. - t^4.416/y - t^4.416*y | detail | |
55647 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6436 | 0.7912 | 0.8134 | [M:[1.1661, 1.0848, 0.8339, 0.8045, 1.0554, 1.0554], q:[0.4022, 0.4317], qb:[0.5129, 0.7638], phi:[0.4723]] | t^2.413 + t^2.502 + 2*t^3.166 + t^3.255 + t^3.498 + 2*t^3.83 + t^3.919 + t^4.007 + t^4.162 + t^4.251 + t^4.495 + t^4.827 + t^4.915 + t^5.004 + 2*t^5.579 + 2*t^5.668 - 2*t^6. - t^4.417/y - t^4.417*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 |
---|---|---|---|---|---|---|---|---|---|
46623 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6935 | 0.8487 | 0.8171 | [M:[1.0327, 0.99, 0.9673, 0.9882, 1.0109], q:[0.4941, 0.4732], qb:[0.5159, 0.5386], phi:[0.4946]] | t^2.902 + t^2.964 + t^2.967 + t^2.97 + t^3.033 + t^3.098 + t^3.163 + t^4.323 + t^4.386 + t^4.448 + t^4.451 + t^4.514 + t^4.519 + t^4.579 + t^4.582 + t^4.647 + t^4.715 + t^5.869 + t^5.929 + 2*t^5.935 + t^5.94 + t^5.997 - 2*t^6. - t^4.484/y - t^4.484*y | detail |