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 |
---|---|---|---|---|---|---|---|---|---|
4724 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6592 | 0.821 | 0.8029 | [M:[1.0546, 0.8266, 1.0594, 0.8218, 1.1782, 0.7078, 0.9406, 1.1734], q:[0.5321, 0.4133], qb:[0.4085, 0.7648], phi:[0.4703]] | [M:[[-30], [22], [4], [-12], [12], [14], [-4], [-22]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.124 + t^2.466 + 2*t^2.822 + t^3.164 + t^3.52 + t^3.534 + t^3.862 + 2*t^3.891 + t^4.233 + 2*t^4.247 + t^4.589 + t^4.603 + t^4.931 + 2*t^4.945 + 3*t^5.287 + 3*t^5.644 + t^5.658 + 3*t^5.986 - 2*t^6. + t^6.014 + 2*t^6.328 + t^6.342 + 2*t^6.356 + t^6.371 + 3*t^6.684 + 4*t^6.713 + t^6.727 + t^7.026 - t^7.04 + 3*t^7.055 + 3*t^7.069 + t^7.382 + t^7.397 + 2*t^7.411 + 2*t^7.425 + t^7.724 + 3*t^7.753 + 3*t^7.767 + 2*t^7.782 + t^8.095 + 4*t^8.109 - 2*t^8.124 + 3*t^8.138 + 2*t^8.451 + 2*t^8.466 + 3*t^8.494 + t^8.793 + 5*t^8.808 - 5*t^8.822 + 2*t^8.836 + 2*t^8.85 - t^4.411/y - t^6.534/y - t^7.233/y + t^7.247/y - t^7.575/y + (2*t^7.589)/y + (2*t^7.945)/y + (4*t^8.287)/y + t^8.629/y + (2*t^8.644)/y + (4*t^8.986)/y - t^4.411*y - t^6.534*y - t^7.233*y + t^7.247*y - t^7.575*y + 2*t^7.589*y + 2*t^7.945*y + 4*t^8.287*y + t^8.629*y + 2*t^8.644*y + 4*t^8.986*y | g1^14*t^2.124 + t^2.466/g1^12 + (2*t^2.822)/g1^4 + t^3.164/g1^30 + t^3.52/g1^22 + g1^12*t^3.534 + t^3.862/g1^48 + 2*g1^20*t^3.891 + t^4.233/g1^6 + 2*g1^28*t^4.247 + g1^2*t^4.589 + g1^36*t^4.603 + t^4.931/g1^24 + 2*g1^10*t^4.945 + (3*t^5.287)/g1^16 + (3*t^5.644)/g1^8 + g1^26*t^5.658 + (3*t^5.986)/g1^34 - 2*t^6. + g1^34*t^6.014 + (2*t^6.328)/g1^60 + t^6.342/g1^26 + 2*g1^8*t^6.356 + g1^42*t^6.371 + (3*t^6.684)/g1^52 + 4*g1^16*t^6.713 + g1^50*t^6.727 + t^7.026/g1^78 - t^7.04/g1^44 + (3*t^7.055)/g1^10 + 3*g1^24*t^7.069 + t^7.382/g1^70 + t^7.397/g1^36 + (2*t^7.411)/g1^2 + 2*g1^32*t^7.425 + t^7.724/g1^96 + (3*t^7.753)/g1^28 + 3*g1^6*t^7.767 + 2*g1^40*t^7.782 + t^8.095/g1^54 + (4*t^8.109)/g1^20 - 2*g1^14*t^8.124 + 3*g1^48*t^8.138 + (2*t^8.451)/g1^46 + (2*t^8.466)/g1^12 + 3*g1^56*t^8.494 + t^8.793/g1^72 + (5*t^8.808)/g1^38 - (5*t^8.822)/g1^4 + 2*g1^30*t^8.836 + 2*g1^64*t^8.85 - t^4.411/(g1^2*y) - (g1^12*t^6.534)/y - t^7.233/(g1^6*y) + (g1^28*t^7.247)/y - t^7.575/(g1^32*y) + (2*g1^2*t^7.589)/y + (2*g1^10*t^7.945)/y + (4*t^8.287)/(g1^16*y) + t^8.629/(g1^42*y) + (2*t^8.644)/(g1^8*y) + (4*t^8.986)/(g1^34*y) - (t^4.411*y)/g1^2 - g1^12*t^6.534*y - (t^7.233*y)/g1^6 + g1^28*t^7.247*y - (t^7.575*y)/g1^32 + 2*g1^2*t^7.589*y + 2*g1^10*t^7.945*y + (4*t^8.287*y)/g1^16 + (t^8.629*y)/g1^42 + (2*t^8.644*y)/g1^8 + (4*t^8.986*y)/g1^34 |
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 |
---|---|---|---|---|---|---|---|---|
6301 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6797 | 0.8605 | 0.7899 | [M:[1.066, 0.8182, 1.0579, 0.8264, 1.1736, 0.7025, 0.9421, 1.1818, 0.6943], q:[0.5248, 0.4091], qb:[0.4173, 0.7645], phi:[0.4711]] | t^2.083 + t^2.108 + t^2.479 + 2*t^2.826 + t^3.198 + t^3.521 + t^3.545 + 2*t^3.868 + t^4.166 + t^4.191 + 2*t^4.215 + t^4.24 + 2*t^4.562 + t^4.587 + 2*t^4.909 + 2*t^4.934 + t^4.958 + t^5.281 + 3*t^5.306 + t^5.604 + 2*t^5.628 + 3*t^5.653 + 2*t^5.951 + t^5.975 - 2*t^6. - t^4.413/y - t^4.413*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
2617 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6745 | 0.8479 | 0.7955 | [M:[1.077, 0.8102, 1.0564, 0.8308, 1.1692, 0.6974, 0.9436], q:[0.5179, 0.4051], qb:[0.4257, 0.7641], phi:[0.4718]] | t^2.092 + t^2.431 + t^2.492 + 2*t^2.831 + t^3.231 + t^3.508 + 2*t^3.846 + t^3.969 + 2*t^4.184 + t^4.246 + 2*t^4.523 + t^4.585 + t^4.861 + 3*t^4.923 + t^4.985 + 2*t^5.261 + 3*t^5.323 + t^5.6 + 3*t^5.662 + 2*t^5.938 - 2*t^6. - t^4.415/y - t^4.415*y | detail |