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 |
---|---|---|---|---|---|---|---|---|---|
57695 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9112 | 0.9616 | 0.9476 | [X:[1.6258, 1.4387], M:[], q:[0.686, 0.4409], qb:[0.4365, 1.314], phi:[0.1871]] | [X:[[6], [9]], M:[], q:[[-11], [25]], qb:[[-7], [11]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.63 + t^3.19 + t^3.75 + t^4.32 + t^4.88 + t^5.26 + t^5.61 + t^5.65 + t^5.83 - 2*t^6. + 2*t^6.39 - t^6.56 + 2*t^6.95 + 3*t^7.51 + t^7.68 - t^7.86 + t^8.07 + 2*t^8.25 + t^8.28 - t^8.42 - t^8.63 + 2*t^8.81 + t^8.85 - t^8.98 + t^7.68/y^2 - t^3.56/y - t^4.12/y - t^6.19/y - t^6.75/y - t^7.32/y - t^7.88/y - t^8.44/y - t^3.56*y - t^4.12*y - t^6.19*y - t^6.75*y - t^7.32*y - t^7.88*y - t^8.44*y + t^7.68*y^2 | g1^18*t^2.63 + g1^15*t^3.19 + g1^12*t^3.75 + g1^9*t^4.32 + g1^6*t^4.88 + g1^36*t^5.26 + t^5.61/g1^30 + g1^66*t^5.65 + g1^33*t^5.83 - 2*t^6. + 2*g1^30*t^6.39 - t^6.56/g1^3 + 2*g1^27*t^6.95 + 3*g1^24*t^7.51 + t^7.68/g1^9 - t^7.86/g1^42 + g1^21*t^8.07 + (2*t^8.25)/g1^12 + g1^84*t^8.28 - t^8.42/g1^45 - g1^18*t^8.63 + (2*t^8.81)/g1^15 + g1^81*t^8.85 - t^8.98/g1^48 + t^7.68/(g1^9*y^2) - t^3.56/(g1^3*y) - t^4.12/(g1^6*y) - (g1^15*t^6.19)/y - (g1^12*t^6.75)/y - (g1^9*t^7.32)/y - (g1^6*t^7.88)/y - (g1^3*t^8.44)/y - (t^3.56*y)/g1^3 - (t^4.12*y)/g1^6 - g1^15*t^6.19*y - g1^12*t^6.75*y - g1^9*t^7.32*y - g1^6*t^7.88*y - g1^3*t^8.44*y + (t^7.68*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
60635 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.9304 | 0.996 | 0.9341 | [X:[1.6273, 1.4409], M:[0.7454], q:[0.6833, 0.4471], qb:[0.4348, 1.3167], phi:[0.1864]] | t^2.24 + t^2.65 + t^3.2 + t^4.32 + t^4.47 + 2*t^4.88 + t^5.29 + t^5.44 + t^5.59 + t^5.7 + t^5.85 - 2*t^6. - t^3.56/y - t^4.12/y - t^5.8/y - t^3.56*y - t^4.12*y - t^5.8*y | detail | |
58592 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }q_{2}\tilde{q}_{2}$ | 0.8711 | 0.9023 | 0.9654 | [X:[1.6667, 1.5], M:[], q:[0.6111, 0.6111], qb:[0.3889, 1.3889], phi:[0.1667]] | t^3. + t^3.5 + t^4. + t^4.5 + 2*t^5. - t^6. - t^3.5/y - t^4./y - t^3.5*y - t^4.*y | detail | {a: 223/256, c: 231/256, X1: 5/3, X2: 3/2, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 25/18, phi1: 1/6} |
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 |
---|---|---|---|---|---|---|---|---|---|
47944 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4415 | 1.6256 | 0.8868 | [X:[1.3426], q:[0.5765, 0.5182], qb:[0.4526, 0.4803], phi:[0.3287]] | t^2.913 + t^2.959 + t^2.996 + t^3.087 + t^3.17 + t^3.899 + t^3.982 + t^4.028 + t^4.074 + t^4.157 + t^4.885 + t^4.968 + t^5.06 + 2*t^5.143 + t^5.226 + t^5.825 + t^5.871 + t^5.908 + t^5.954 + t^5.991 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y | detail |