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 |
---|---|---|---|---|---|---|---|---|---|
58969 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ | 0.8924 | 1.0345 | 0.8627 | [X:[1.6364, 1.4545], M:[1.2727], q:[0.0909, 1.0], qb:[0.4545, 0.2727], phi:[0.3636]] | [X:[[0], [0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 19005/21296, c: 11015/10648, X1: 18/11, X2: 16/11, M1: 14/11, q1: 1/11, q2: 1, qb1: 5/11, qb2: 3/11, phi1: 4/11} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${2}\phi_{1}^{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.18 + t^2.73 + t^3.27 + 3*t^3.82 + 2*t^4.09 + 2*t^4.36 + 2*t^4.64 + 3*t^4.91 + t^5.45 + 2*t^5.73 + 4*t^6.55 + 2*t^6.82 + 3*t^7.09 + 4*t^7.36 + 7*t^7.64 + 2*t^7.91 + 6*t^8.18 + 4*t^8.45 + 5*t^8.73 - t^4.09/y - t^5.18/y - t^7.36/y - t^7.91/y - t^8.45/y - t^4.09*y - t^5.18*y - t^7.36*y - t^7.91*y - t^8.45*y | t^2.18 + t^2.73 + t^3.27 + 3*t^3.82 + t^4.09/g1^3 + g1^3*t^4.09 + 2*t^4.36 + t^4.64/g1^3 + g1^3*t^4.64 + 3*t^4.91 + t^5.45 + t^5.73/g1^3 + g1^3*t^5.73 + 4*t^6.55 + t^6.82/g1^3 + g1^3*t^6.82 + 3*t^7.09 + (2*t^7.36)/g1^3 + 2*g1^3*t^7.36 + 7*t^7.64 + t^7.91/g1^3 + g1^3*t^7.91 + 4*t^8.18 + t^8.18/g1^6 + g1^6*t^8.18 + (2*t^8.45)/g1^3 + 2*g1^3*t^8.45 + 3*t^8.73 + t^8.73/g1^6 + g1^6*t^8.73 - t^4.09/y - t^5.18/y - t^7.36/y - t^7.91/y - t^8.45/y - t^4.09*y - t^5.18*y - t^7.36*y - t^7.91*y - t^8.45*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 |
---|---|---|---|---|---|---|---|---|
61220 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 0.9007 | 1.0485 | 0.8591 | [X:[1.6364, 1.4545], M:[1.2727, 0.9091], q:[0.0909, 1.0], qb:[0.4545, 0.2727], phi:[0.3636]] | t^2.18 + 2*t^2.73 + 3*t^3.82 + 2*t^4.09 + 2*t^4.36 + 2*t^4.64 + 4*t^4.91 + 2*t^5.45 + 2*t^5.73 - t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 9591/10648, c: 2791/2662, X1: 18/11, X2: 16/11, M1: 14/11, M2: 10/11, q1: 1/11, q2: 1, qb1: 5/11, qb2: 3/11, phi1: 4/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
57728 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.1613 | 1.3662 | 0.85 | [X:[1.594], M:[1.1879], q:[0.2239, 0.5394], qb:[0.6183, 0.1822], phi:[0.406]] | t^2.16 + t^2.44 + t^2.53 + t^3.38 + t^3.47 + t^3.56 + 2*t^3.65 + t^3.74 + t^4.17 + t^4.18 + t^4.33 + 2*t^4.6 + t^4.69 + t^4.78 + t^4.87 + 2*t^4.96 + t^5.13 + t^5.29 + t^5.38 + t^5.4 + t^5.47 + t^5.55 + t^5.64 + t^5.67 + t^5.73 + 3*t^5.82 + 3*t^5.91 - 3*t^6. - t^4.22/y - t^5.44/y - t^4.22*y - t^5.44*y | detail |