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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59434 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.1385 | 1.326 | 0.8586 | [X:[1.6], M:[1.2, 1.2], q:[0.6, 0.2], qb:[0.6, 0.2], phi:[0.4]] | [X:[[0, 0]], M:[[-1, 1], [1, -1]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 2277/2000, c: 663/500, X1: 8/5, M1: 6/5, M2: 6/5, q1: 3/5, q2: 1/5, qb1: 3/5, qb2: 1/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}\tilde{q}_{2}^{2}$ | 8 | 2*t^2.4 + 7*t^3.6 + 2*t^4.2 + 5*t^4.8 + 6*t^5.4 + 8*t^6. + 4*t^6.6 + 25*t^7.2 + 10*t^7.8 + 17*t^8.4 - t^4.2/y - t^5.4/y - t^6.6/y - (4*t^7.8)/y - t^4.2*y - t^5.4*y - t^6.6*y - 4*t^7.8*y | 2*t^2.4 + 3*t^3.6 + (2*g1*t^3.6)/g2 + (2*g2*t^3.6)/g1 + t^4.2/(g1*g2^2) + g1*g2^2*t^4.2 + 5*t^4.8 + t^5.4/g2^3 + t^5.4/(g1*g2^2) + t^5.4/(g1^2*g2) + g1^2*g2*t^5.4 + g1*g2^2*t^5.4 + g2^3*t^5.4 + 2*t^6. + (3*g1*t^6.)/g2 + (3*g2*t^6.)/g1 + (2*t^6.6)/(g1*g2^2) + 2*g1*g2^2*t^6.6 + 13*t^7.2 + (3*g1^2*t^7.2)/g2^2 + (3*g1*t^7.2)/g2 + (3*g2*t^7.2)/g1 + (3*g2^2*t^7.2)/g1^2 + (2*t^7.8)/g2^3 + t^7.8/(g1*g2^2) + (2*t^7.8)/(g1^2*g2) + 2*g1^2*g2*t^7.8 + g1*g2^2*t^7.8 + 2*g2^3*t^7.8 + 3*t^8.4 + t^8.4/(g1^2*g2^4) + (6*g1*t^8.4)/g2 + (6*g2*t^8.4)/g1 + g1^2*g2^4*t^8.4 - t^4.2/y - t^5.4/y - t^6.6/y - (2*t^7.8)/y - (g1*t^7.8)/(g2*y) - (g2*t^7.8)/(g1*y) - t^4.2*y - t^5.4*y - t^6.6*y - 2*t^7.8*y - (g1*t^7.8*y)/g2 - (g2*t^7.8*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|---|
57433 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.1558 | 1.3573 | 0.8515 | [X:[1.6], M:[1.1748], q:[0.5832, 0.2084], qb:[0.6168, 0.1916], phi:[0.4]] | t^2.324 + 2*t^2.4 + 2*t^3.524 + 3*t^3.6 + t^3.676 + 2*t^4.2 + t^4.649 + 2*t^4.724 + 5*t^4.8 + 2*t^5.324 + 2*t^5.4 + 2*t^5.476 + 2*t^5.849 + 6*t^5.924 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |