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 |
---|---|---|---|---|---|---|---|---|---|
58047 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 0.9965 | 1.1126 | 0.8957 | [X:[1.4286, 1.4286], M:[1.1429], q:[0.8571, 0.1905], qb:[0.8571, 0.381], phi:[0.2857]] | [X:[[0], [0]], M:[[0]], q:[[-1], [0]], qb:[[1], [0]], phi:[[0]]] | 1 | {a: 5469/5488, c: 3053/2744, X1: 10/7, X2: 10/7, M1: 8/7, q1: 6/7, q2: 4/21, qb1: 6/7, qb2: 8/21, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | 0 | t^2.57 + t^3.14 + 2*t^3.43 + t^3.71 + 3*t^4.29 + t^4.57 + 2*t^5.14 + t^5.71 + t^6.29 + 2*t^6.57 + 4*t^6.86 + 2*t^7.14 + 3*t^7.43 + 5*t^7.71 + 2*t^8. + t^8.29 + 5*t^8.57 + 2*t^8.86 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^7./y - (2*t^7.29)/y - t^7.57/y - (2*t^8.14)/y + t^8.71/y - t^3.86*y - t^4.71*y - t^7.*y - 2*t^7.29*y - t^7.57*y - 2*t^8.14*y + t^8.71*y + t^8.57*y^2 | t^2.57 + g1*t^3.14 + 2*t^3.43 + t^3.71/g1 + 3*t^4.29 + t^4.57/g1 + 2*t^5.14 + g1*t^5.71 + g1^2*t^6.29 + 2*g1*t^6.57 + 4*t^6.86 + (2*t^7.14)/g1 + t^7.43/g1^2 + 2*g1*t^7.43 + 5*t^7.71 + (2*t^8.)/g1 + t^8.29/g1^2 + 5*t^8.57 + t^8.86/g1 + g1^2*t^8.86 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (g1*t^7.)/y - (2*t^7.29)/y - t^7.57/(g1*y) - (2*t^8.14)/y + (g1*t^8.71)/y - t^3.86*y - t^4.71*y - g1*t^7.*y - 2*t^7.29*y - (t^7.57*y)/g1 - 2*t^8.14*y + g1*t^8.71*y + t^8.57*y^2 |
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 |
---|---|---|---|---|---|---|---|---|
61111 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{1}M_{2}$ | 1.0091 | 1.1341 | 0.8898 | [X:[1.4286, 1.4286], M:[1.1429, 0.8571], q:[0.8571, 0.1905], qb:[0.8571, 0.381], phi:[0.2857]] | 2*t^2.57 + t^3.14 + t^3.43 + t^3.71 + 3*t^4.29 + t^4.57 + 4*t^5.14 + 2*t^5.71 - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 2769/2744, c: 389/343, X1: 10/7, X2: 10/7, M1: 8/7, M2: 6/7, q1: 6/7, q2: 4/21, qb1: 6/7, qb2: 8/21, phi1: 2/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
57323 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.1157 | 1.2303 | 0.9068 | [X:[1.5413], M:[0.9173], q:[0.8853, 0.416], qb:[0.8853, 0.4373], phi:[0.2293]] | t^2.064 + t^2.56 + t^2.752 + t^3.904 + t^3.936 + t^3.968 + t^4.128 + 2*t^4.624 + t^4.816 + t^5.12 + 2*t^5.312 + t^5.504 + t^5.808 + t^5.84 + t^5.968 - t^6. - t^3.688/y - t^4.376/y - t^5.752/y - t^3.688*y - t^4.376*y - t^5.752*y | detail |