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 |
---|---|---|---|---|---|---|---|---|---|
57473 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.075 | 1.1578 | 0.9285 | [X:[1.535], M:[1.3025, 1.1625], q:[0.4187, 0.8837], qb:[0.4187, 0.8837], phi:[0.2325]] | [X:[[0, 0, 2]], M:[[0, 0, 3], [0, 0, -5]], q:[[-1, 0, 5], [0, -1, 1]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}$ | -5 | t^3.21 + t^3.49 + 4*t^3.91 + t^4.6 + t^5.3 + 4*t^5.86 - 5*t^6. + t^6.42 + t^6.98 + 4*t^7.12 + t^7.4 + 10*t^7.81 - 4*t^7.95 + 3*t^8.09 + 4*t^8.51 - 4*t^8.65 + 2*t^8.79 + t^8.09/y^2 - t^3.7/y - t^4.4/y - t^7.19/y - (4*t^7.6)/y - t^7.88/y - t^8.3/y - t^3.7*y - t^4.4*y - t^7.19*y - 4*t^7.6*y - t^7.88*y - t^8.3*y + t^8.09*y^2 | g3^4*t^3.21 + t^3.49/g3^5 + (g1*g3*t^3.91)/g2 + 2*g3^3*t^3.91 + (g2*g3^5*t^3.91)/g1 + g3^2*t^4.6 + g3*t^5.3 + (g1^3*t^5.86)/g3^3 + (g1^2*g2*t^5.86)/g3 + (g3^10*t^5.86)/(g1^2*g2) + (g3^12*t^5.86)/g1^3 - 3*t^6. - (g1*t^6.)/(g2*g3^2) - (g2*g3^2*t^6.)/g1 + g3^8*t^6.42 + t^6.98/g3^10 + (g1*g3^5*t^7.12)/g2 + 2*g3^7*t^7.12 + (g2*g3^9*t^7.12)/g1 + t^7.4/g3^2 + (g1^2*g3^2*t^7.81)/g2^2 + (2*g1*g3^4*t^7.81)/g2 + 4*g3^6*t^7.81 + (2*g2*g3^8*t^7.81)/g1 + (g2^2*g3^10*t^7.81)/g1^2 - (g1^3*t^7.95)/g3^6 - (g1^2*g2*t^7.95)/g3^4 - (g3^7*t^7.95)/(g1^2*g2) - (g3^9*t^7.95)/g1^3 + (3*t^8.09)/g3^3 + (g1*g3^3*t^8.51)/g2 + 2*g3^5*t^8.51 + (g2*g3^7*t^8.51)/g1 - (g1^3*t^8.65)/g3^7 - (g1^2*g2*t^8.65)/g3^5 - (g3^6*t^8.65)/(g1^2*g2) - (g3^8*t^8.65)/g1^3 + (2*t^8.79)/g3^4 + t^8.09/(g3^3*y^2) - t^3.7/(g3*y) - t^4.4/(g3^2*y) - t^7.19/(g3^6*y) - (g1*t^7.6)/(g2*y) - (2*g3^2*t^7.6)/y - (g2*g3^4*t^7.6)/(g1*y) - t^7.88/(g3^7*y) - (g3*t^8.3)/y - (t^3.7*y)/g3 - (t^4.4*y)/g3^2 - (t^7.19*y)/g3^6 - (g1*t^7.6*y)/g2 - 2*g3^2*t^7.6*y - (g2*g3^4*t^7.6*y)/g1 - (t^7.88*y)/g3^7 - g3*t^8.3*y + (t^8.09*y^2)/g3^3 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
47915 | SU3adj1nf2 | ${}M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.476 | 1.6893 | 0.8737 | [M:[0.9872, 0.9765], q:[0.5118, 0.4754], qb:[0.5118, 0.4754], phi:[0.3376]] | t^2.026 + t^2.852 + t^2.929 + 3*t^2.961 + t^3.865 + 2*t^3.974 + t^4.051 + t^4.083 + 2*t^4.878 + t^4.955 + 5*t^4.987 + t^5.096 + 2*t^5.4 + 2*t^5.51 + t^5.705 + t^5.782 + 3*t^5.814 + t^5.859 + 2*t^5.891 + 6*t^5.923 - 2*t^6. - t^4.013/y - t^5.026/y - t^4.013*y - t^5.026*y | detail |