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 |
---|---|---|---|---|---|---|---|---|---|
57579 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{3}$ | 0.9801 | 1.0962 | 0.8941 | [X:[1.1429, 1.4286, 1.4286], M:[], q:[1.0952, 0.2381], qb:[0.3333, 0.619], phi:[0.2857]] | [X:[[0], [0], [0]], M:[], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 5379/5488, c: 376/343, X1: 8/7, X2: 10/7, X3: 10/7, q1: 23/21, q2: 5/21, qb1: 1/3, qb2: 13/21, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{3}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}X_{1}$ | 1 | 2*t^2.57 + 2*t^3.43 + 3*t^4.29 + 2*t^4.71 + 3*t^5.14 + 2*t^5.57 + t^6. + 5*t^6.86 + 2*t^7.29 + 7*t^7.71 + 2*t^8.14 + 5*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6.43/y - (2*t^7.29)/y - (2*t^8.14)/y - t^3.86*y - t^4.71*y - t^6.43*y - 2*t^7.29*y - 2*t^8.14*y + t^8.57*y^2 | 2*t^2.57 + 2*t^3.43 + 3*t^4.29 + t^4.71/g1^3 + g1^3*t^4.71 + 3*t^5.14 + t^5.57/g1^3 + g1^3*t^5.57 + t^6. + 5*t^6.86 + t^7.29/g1^3 + g1^3*t^7.29 + 7*t^7.71 + t^8.14/g1^3 + g1^3*t^8.14 + 5*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6.43/y - (2*t^7.29)/y - (2*t^8.14)/y - t^3.86*y - t^4.71*y - t^6.43*y - 2*t^7.29*y - 2*t^8.14*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 |
---|---|---|---|---|---|---|---|---|
59042 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.9676 | 1.0747 | 0.9003 | [X:[1.1429, 1.4286, 1.4286], M:[1.1429], q:[1.0952, 0.2381], qb:[0.3333, 0.619], phi:[0.2857]] | t^2.57 + 3*t^3.43 + 3*t^4.29 + 2*t^4.71 + t^5.14 + 2*t^5.57 - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 2655/2744, c: 2949/2744, X1: 8/7, X2: 10/7, X3: 10/7, M1: 8/7, q1: 23/21, q2: 5/21, qb1: 1/3, qb2: 13/21, 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 |
---|---|---|---|---|---|---|---|---|---|
47925 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.2241 | 1.4234 | 0.86 | [X:[1.459], q:[0.7527, 0.2117], qb:[0.5178, 0.3292], phi:[0.3648]] | 2*t^2.189 + t^2.717 + t^3.246 + 2*t^3.283 + 2*t^3.811 + t^4.34 + 4*t^4.377 + 2*t^4.623 + 3*t^4.906 + 2*t^5.189 + 3*t^5.434 + 3*t^5.471 + 2*t^5.717 + t^5.963 + 3*t^6. - t^4.094/y - t^5.189/y - t^4.094*y - t^5.189*y | detail |