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 |
---|---|---|---|---|---|---|---|---|---|
60505 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8615 | 0.8797 | 0.9794 | [X:[1.7133, 1.5699], M:[0.8602], q:[0.6667, 0.5233], qb:[0.4732, 1.4767], phi:[0.1434]] | [X:[[2], [3]], M:[[-6]], q:[[0], [1]], qb:[[6], [-1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | ${}$ | -2 | t^2.58 + t^3.85 + t^4.28 + t^4.71 + t^5.14 + t^5.16 + t^5.55 - 2*t^6. + t^6.86 - t^7.27 + 3*t^7.29 + 2*t^7.72 + t^7.74 + t^8.13 + t^8.15 + 2*t^8.56 - t^8.58 + t^8.99 + t^7.29/y^2 - t^3.43/y - t^3.86/y - t^6.01/y - t^6.44/y - t^7.71/y - t^8.14/y - t^8.57/y - t^8.59/y - t^3.43*y - t^3.86*y - t^6.01*y - t^6.44*y - t^7.71*y - t^8.14*y - t^8.57*y - t^8.59*y + t^7.29*y^2 | t^2.58/g1^6 + g1^5*t^3.85 + g1^4*t^4.28 + g1^3*t^4.71 + g1^2*t^5.14 + t^5.16/g1^12 + g1^15*t^5.55 - 2*t^6. + t^6.86/g1^2 - g1^11*t^7.27 + (3*t^7.29)/g1^3 + (2*t^7.72)/g1^4 + t^7.74/g1^18 + g1^9*t^8.13 + t^8.15/g1^5 + 2*g1^8*t^8.56 - t^8.58/g1^6 + g1^7*t^8.99 + t^7.29/(g1^3*y^2) - t^3.43/(g1*y) - t^3.86/(g1^2*y) - t^6.01/(g1^7*y) - t^6.44/(g1^8*y) - (g1^3*t^7.71)/y - (g1^2*t^8.14)/y - (g1*t^8.57)/y - t^8.59/(g1^13*y) - (t^3.43*y)/g1 - (t^3.86*y)/g1^2 - (t^6.01*y)/g1^7 - (t^6.44*y)/g1^8 - g1^3*t^7.71*y - g1^2*t^8.14*y - g1*t^8.57*y - (t^8.59*y)/g1^13 + (t^7.29*y^2)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
61209 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 0.8565 | 0.869 | 0.9856 | [X:[1.7333, 1.6], M:[0.8], q:[0.6667, 0.5333], qb:[0.5333, 1.4667], phi:[0.1333]] | t^2.4 + t^4. + t^4.4 + 2*t^4.8 + t^5.2 - t^6. - t^3.4/y - t^3.8/y - t^5.8/y - t^3.4*y - t^3.8*y - t^5.8*y | detail | {a: 1713/2000, c: 869/1000, X1: 26/15, X2: 8/5, M1: 4/5, q1: 2/3, q2: 8/15, qb1: 8/15, qb2: 22/15, phi1: 2/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
57691 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.4007 | 1.5922 | 0.8798 | [X:[1.3576], M:[0.791], q:[0.6667, 0.3455], qb:[0.5424, 0.5184], phi:[0.3212]] | t^2.37 + t^2.59 + t^2.66 + t^2.89 + 2*t^3.56 + t^3.63 + t^4.07 + 2*t^4.52 + 2*t^4.59 + t^4.75 + t^4.96 + t^5.04 + t^5.18 + 2*t^5.26 + t^5.33 + 2*t^5.48 + 2*t^5.55 + t^5.7 + t^5.77 + t^5.78 + t^5.93 - t^6. - t^3.96/y - t^4.93/y - t^3.96*y - t^4.93*y | detail |