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 |
---|---|---|---|---|---|---|---|---|---|
79580 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.358 | 2.4955 | 0.9449 | [X:[], M:[0.8666, 0.8003], q:[0.7332, 0.4665], qb:[], phi:[], S:[0.5999, 0.5335], Sb:[], A:[], Ab:[]] | [X:[], M:[[-1], [6]], q:[[-2], [-4]], qb:[], phi:[], S:[[-3], [4]], Sb:[], A:[], Ab:[]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }S_{2}^{2}$, ${ }S_{1}^{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }M_{2}S_{2}^{2}$ | ${}$ | -1 | t^2.401 + t^2.6 + t^3.201 + t^3.599 + t^4.399 + t^4.599 + t^4.802 + t^5.001 + t^5.2 + t^5.399 + t^5.602 - t^6. + 2*t^6.199 + 2*t^6.402 + t^6.601 + 3*t^6.8 + 3*t^6.999 + 3*t^7.198 + t^7.202 + t^7.401 + 2*t^7.601 + 3*t^7.8 + 3*t^7.999 + t^8.003 + 2*t^8.198 - t^8.401 + 3*t^8.799 + 2*t^8.803 + 2*t^8.998 - t^4.601/y - t^4.8/y - t^7.001/y - t^7.2/y - (2*t^7.802)/y - t^8.001/y - (2*t^8.2)/y - (2*t^8.399)/y + t^8.602/y + t^8.801/y - t^4.601*y - t^4.8*y - t^7.001*y - t^7.2*y - 2*t^7.802*y - t^8.001*y - 2*t^8.2*y - 2*t^8.399*y + t^8.602*y + t^8.801*y | g1^6*t^2.401 + t^2.6/g1 + g1^8*t^3.201 + t^3.599/g1^6 + t^4.399/g1^4 + t^4.599/g1^11 + g1^12*t^4.802 + g1^5*t^5.001 + t^5.2/g1^2 + t^5.399/g1^9 + g1^14*t^5.602 - t^6. + (2*t^6.199)/g1^7 + 2*g1^16*t^6.402 + g1^9*t^6.601 + 3*g1^2*t^6.8 + (3*t^6.999)/g1^5 + (3*t^7.198)/g1^12 + g1^18*t^7.202 + g1^11*t^7.401 + 2*g1^4*t^7.601 + (3*t^7.8)/g1^3 + (3*t^7.999)/g1^10 + g1^20*t^8.003 + (2*t^8.198)/g1^17 - g1^6*t^8.401 + (3*t^8.799)/g1^8 + 2*g1^22*t^8.803 + (2*t^8.998)/g1^15 - (g1^4*t^4.601)/y - t^4.8/(g1^3*y) - (g1^10*t^7.001)/y - (g1^3*t^7.2)/y - (2*g1^12*t^7.802)/y - (g1^5*t^8.001)/y - (2*t^8.2)/(g1^2*y) - (2*t^8.399)/(g1^9*y) + (g1^14*t^8.602)/y + (g1^7*t^8.801)/y - g1^4*t^4.601*y - (t^4.8*y)/g1^3 - g1^10*t^7.001*y - g1^3*t^7.2*y - 2*g1^12*t^7.802*y - g1^5*t^8.001*y - (2*t^8.2*y)/g1^2 - (2*t^8.399*y)/g1^9 + g1^14*t^8.602*y + g1^7*t^8.801*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 |
---|---|---|---|---|---|---|---|---|
79698 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}M_{3}$ | 2.3418 | 2.4682 | 0.9488 | [X:[], M:[0.8652, 0.8089, 1.1911], q:[0.7304, 0.4608], qb:[], phi:[], S:[0.5956, 0.5392], Sb:[], A:[], Ab:[]] | t^2.596 + t^3.235 + 2*t^3.573 + t^4.382 + t^4.551 + t^5.191 + t^5.36 - 2*t^6. - t^4.618/y - t^4.787/y - t^4.618*y - t^4.787*y | detail | |
79699 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{2}X_{1}$ | 2.0974 | 2.1827 | 0.961 | [X:[1.4545], M:[0.9091, 0.5455], q:[0.8182, 0.6364], qb:[], phi:[], S:[0.7273, 0.3636], Sb:[], A:[], Ab:[]] | t^2.182 + t^2.727 + 4*t^4.364 + t^4.909 + 2*t^5.455 - t^6. - t^4.091/y - t^5.182/y - t^4.091*y - t^5.182*y | detail | {a: 44667/21296, c: 23241/10648, X1: 16/11, M1: 10/11, M2: 6/11, q1: 9/11, q2: 7/11, S1: 8/11, S2: 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 |
---|---|---|---|---|---|---|---|---|---|
79499 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.4056 | 2.5313 | 0.9504 | [X:[], M:[0.8878, 0.6733], q:[0.7178, 0.6088], qb:[], phi:[], S:[0.5478, 0.5644], Sb:[], A:[], Ab:[]] | t^2.02 + t^2.663 + t^3.287 + t^3.386 + t^4.04 + t^4.683 + t^5.297 + t^5.307 + t^5.327 + t^5.346 + t^5.406 + t^5.624 + t^5.95 - 2*t^6. - t^4.644/y - t^4.693/y - t^4.644*y - t^4.693*y | detail |