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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57610 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3051 | 1.4597 | 0.8941 | [X:[1.3819], M:[1.2363], q:[0.6424, 0.4061], qb:[0.3576, 0.7395], phi:[0.3091]] | [X:[[0, 2]], M:[[0, -4]], q:[[-1, 2], [-1, 6]], qb:[[1, -2], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{6}$ | ${}\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 1 | t^2.78 + t^3. + t^3.22 + t^3.44 + t^3.71 + t^3.93 + 3*t^4.15 + t^4.36 + t^5.07 + 2*t^5.29 + t^5.56 + t^6. + 3*t^6.22 + 4*t^6.44 + t^6.49 + t^6.66 + t^6.87 + 2*t^6.93 + 4*t^7.15 + 4*t^7.36 + t^7.42 + 4*t^7.58 + t^7.8 + 2*t^7.85 + t^8.07 + 6*t^8.29 + t^8.34 + 5*t^8.51 + 3*t^8.73 + t^8.78 + t^8.78/y^2 - t^3.93/y - t^4.85/y - t^6.71/y - t^6.93/y - t^7.36/y - (2*t^7.64)/y - t^7.85/y - (2*t^8.07)/y - t^8.29/y - t^8.56/y + t^8.78/y - t^3.93*y - t^4.85*y - t^6.71*y - t^6.93*y - t^7.36*y - 2*t^7.64*y - t^7.85*y - 2*t^8.07*y - t^8.29*y - t^8.56*y + t^8.78*y + t^8.78*y^2 | t^2.78/g2^3 + t^3. + g2^3*t^3.22 + g2^6*t^3.44 + t^3.71/g2^4 + t^3.93/g2 + 3*g2^2*t^4.15 + g2^5*t^4.36 + g2*t^5.07 + (g1^3*t^5.29)/g2^5 + (g2^13*t^5.29)/g1^3 + t^5.56/g2^6 - t^6. + (g1^3*t^6.)/g2^9 + (g2^9*t^6.)/g1^3 + (g1^3*t^6.22)/g2^6 + g2^3*t^6.22 + (g2^12*t^6.22)/g1^3 + (g1^3*t^6.44)/g2^3 + 2*g2^6*t^6.44 + (g2^15*t^6.44)/g1^3 + t^6.49/g2^7 + g2^9*t^6.66 + g2^12*t^6.87 + (2*t^6.93)/g2 + 4*g2^2*t^7.15 + 4*g2^5*t^7.36 + t^7.42/g2^8 + 4*g2^8*t^7.58 + g2^11*t^7.8 - (g1^3*t^7.85)/g2^11 + (4*t^7.85)/g2^2 - (g2^7*t^7.85)/g1^3 - (g1^3*t^8.07)/g2^8 + 3*g2*t^8.07 - (g2^10*t^8.07)/g1^3 + 6*g2^4*t^8.29 + t^8.34/g2^9 + (g1^3*t^8.51)/g2^2 + 3*g2^7*t^8.51 + (g2^16*t^8.51)/g1^3 + g1^3*g2*t^8.73 + g2^10*t^8.73 + (g2^19*t^8.73)/g1^3 + t^8.78/g2^3 + t^8.78/(g2^3*y^2) - t^3.93/(g2*y) - t^4.85/(g2^2*y) - t^6.71/(g2^4*y) - t^6.93/(g2*y) - (g2^5*t^7.36)/y - (2*t^7.64)/(g2^5*y) - t^7.85/(g2^2*y) - (2*g2*t^8.07)/y - (g2^4*t^8.29)/y - t^8.56/(g2^6*y) + t^8.78/(g2^3*y) - (t^3.93*y)/g2 - (t^4.85*y)/g2^2 - (t^6.71*y)/g2^4 - (t^6.93*y)/g2 - g2^5*t^7.36*y - (2*t^7.64*y)/g2^5 - (t^7.85*y)/g2^2 - 2*g2*t^8.07*y - g2^4*t^8.29*y - (t^8.56*y)/g2^6 + (t^8.78*y)/g2^3 + (t^8.78*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
58718 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3258 | 1.4998 | 0.884 | [X:[1.3813], M:[1.2375, 0.6906], q:[0.6427, 0.4052], qb:[0.3573, 0.7386], phi:[0.3094]] | t^2.07 + t^2.78 + t^3. + t^3.22 + t^3.43 + t^3.71 + 4*t^4.14 + t^4.36 + t^4.86 + 2*t^5.07 + 3*t^5.29 + t^5.5 + t^5.57 + t^5.78 + t^6. - t^3.93/y - t^4.86/y - t^6./y - t^3.93*y - t^4.86*y - t^6.*y | detail | |
59506 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.3198 | 1.4824 | 0.8903 | [X:[1.3987], M:[1.2026, 0.8039], q:[0.634, 0.4314], qb:[0.366, 0.7647], phi:[0.3006]] | t^2.41 + t^2.71 + t^3. + t^3.29 + t^3.61 + t^3.9 + 3*t^4.2 + t^4.49 + t^4.82 + t^5.1 + t^5.12 + 2*t^5.39 + 2*t^5.41 + t^5.71 + t^6. - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | |
58569 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.2849 | 1.4311 | 0.8978 | [X:[1.4152], M:[1.1695], q:[0.6822, 0.5127], qb:[0.3178, 0.733], phi:[0.2924]] | t^2.63 + t^3. + t^3.37 + t^3.51 + t^3.74 + t^3.88 + 3*t^4.25 + t^4.61 + t^4.98 + t^5.12 + t^5.26 + t^5.49 + t^5.86 - t^3.88/y - t^4.75/y - t^3.88*y - t^4.75*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 |
---|---|---|---|---|---|---|---|---|---|
47930 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.455 | 1.6433 | 0.8854 | [X:[1.3388], M:[0.9552], q:[0.4818, 0.5266], qb:[0.5182, 0.4896], phi:[0.3306]] | t^2.866 + t^2.914 + t^2.976 + t^3. + t^3.049 + t^3.906 + t^3.992 + t^4.016 + t^4.041 + t^4.126 + t^4.898 + t^4.984 + t^5.033 + t^5.118 + t^5.463 + t^5.484 + t^5.57 + t^5.597 + t^5.731 + t^5.78 + t^5.829 + t^5.841 + t^5.89 + t^5.914 + t^5.951 + t^5.963 + t^5.976 - 3*t^6. - t^3.992/y - t^4.984/y - t^3.992*y - t^4.984*y | detail |