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 |
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55548 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ | 0.6598 | 0.801 | 0.8238 | [X:[1.337], M:[0.663, 1.1123, 0.9607, 0.7416, 0.8877, 1.2584], q:[0.7781, 0.5589], qb:[0.4804, 0.4073], phi:[0.4438]] | [X:[[36]], M:[[-36], [12], [-22], [8], [-12], [-8]], q:[[3], [33]], qb:[[-11], [-1]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | 2*t^2.663 + t^2.882 + t^2.899 + t^3.556 + 2*t^3.775 + t^3.994 + t^4.011 + t^4.214 + t^4.23 + t^4.449 + t^4.685 + 3*t^5.326 + t^5.545 + 2*t^5.562 + t^5.798 - 3*t^6. - t^6.236 + 4*t^6.438 + 3*t^6.657 + 2*t^6.674 + 2*t^6.877 + 2*t^6.893 + t^6.91 + t^7.112 + t^7.129 + 2*t^7.348 + t^7.551 + t^7.584 + 2*t^7.77 + 6*t^7.989 + 2*t^8.006 + 2*t^8.208 + 4*t^8.225 + t^8.241 - t^8.444 + 4*t^8.46 + t^8.646 - 6*t^8.663 + 2*t^8.696 - 3*t^8.882 - 4*t^8.899 + t^8.915 - t^4.331/y - t^6.994/y - t^7.214/y + t^7.449/y + t^7.669/y + t^8.326/y + (2*t^8.545)/y + (2*t^8.562)/y + t^8.781/y - t^4.331*y - t^6.994*y - t^7.214*y + t^7.449*y + t^7.669*y + t^8.326*y + 2*t^8.545*y + 2*t^8.562*y + t^8.781*y | (2*t^2.663)/g1^12 + t^2.882/g1^22 + g1^32*t^2.899 + g1^2*t^3.556 + (2*t^3.775)/g1^8 + t^3.994/g1^18 + g1^36*t^4.011 + t^4.214/g1^28 + g1^26*t^4.23 + g1^16*t^4.449 + g1^60*t^4.685 + (3*t^5.326)/g1^24 + t^5.545/g1^34 + 2*g1^20*t^5.562 + g1^64*t^5.798 - 3*t^6. - g1^44*t^6.236 + (4*t^6.438)/g1^20 + (3*t^6.657)/g1^30 + 2*g1^24*t^6.674 + (2*t^6.877)/g1^40 + 2*g1^14*t^6.893 + g1^68*t^6.91 + g1^4*t^7.112 + g1^58*t^7.129 + 2*g1^48*t^7.348 + t^7.551/g1^16 + g1^92*t^7.584 + (2*t^7.77)/g1^26 + (6*t^7.989)/g1^36 + 2*g1^18*t^8.006 + (2*t^8.208)/g1^46 + 4*g1^8*t^8.225 + g1^62*t^8.241 - t^8.444/g1^2 + 4*g1^52*t^8.46 + t^8.646/g1^66 - (6*t^8.663)/g1^12 + 2*g1^96*t^8.696 - (3*t^8.882)/g1^22 - 4*g1^32*t^8.899 + g1^86*t^8.915 - t^4.331/(g1^6*y) - t^6.994/(g1^18*y) - t^7.214/(g1^28*y) + (g1^16*t^7.449)/y + (g1^6*t^7.669)/y + t^8.326/(g1^24*y) + (2*t^8.545)/(g1^34*y) + (2*g1^20*t^8.562)/y + (g1^10*t^8.781)/y - (t^4.331*y)/g1^6 - (t^6.994*y)/g1^18 - (t^7.214*y)/g1^28 + g1^16*t^7.449*y + g1^6*t^7.669*y + (t^8.326*y)/g1^24 + (2*t^8.545*y)/g1^34 + 2*g1^20*t^8.562*y + g1^10*t^8.781*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 |
---|---|---|---|---|---|---|---|---|
57114 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6807 | 0.8426 | 0.8079 | [X:[1.3367], M:[0.6633, 1.1122, 0.9609, 0.7415, 0.8878, 1.2585, 0.6684], q:[0.7781, 0.5587], qb:[0.4804, 0.4073], phi:[0.4439]] | t^2.005 + 2*t^2.663 + t^2.883 + t^2.898 + t^3.556 + 2*t^3.776 + 2*t^4.01 + t^4.214 + t^4.23 + t^4.449 + 2*t^4.668 + t^4.684 + t^4.888 + t^4.903 + 3*t^5.327 + t^5.546 + 3*t^5.561 + 2*t^5.781 + t^5.796 - 3*t^6. - t^4.332/y - t^4.332*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 |
---|---|---|---|---|---|---|---|---|---|
47089 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ | 0.6792 | 0.8367 | 0.8118 | [X:[1.3317], M:[0.6683, 1.1106, 0.964, 0.7404, 0.8894], q:[0.7776, 0.554], qb:[0.482, 0.4075], phi:[0.4447]] | t^2.221 + 2*t^2.668 + t^2.884 + t^2.892 + t^3.555 + t^3.779 + t^3.995 + t^4.002 + t^4.219 + t^4.226 + 2*t^4.442 + t^4.658 + 2*t^4.889 + t^5.106 + t^5.113 + 3*t^5.337 + 2*t^5.553 + t^5.56 + t^5.769 + t^5.776 - 2*t^6. - t^4.334/y - t^4.334*y | detail |