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 |
---|---|---|---|---|---|---|---|---|---|
2190 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6598 | 0.801 | 0.8238 | [M:[1.0337, 1.1123, 0.9607, 0.8877, 0.7416, 0.9663, 1.2584], q:[0.7781, 0.4073], qb:[0.5589, 0.4804], phi:[0.4438]] | [M:[[32], [-12], [22], [12], [-8], [-32], [8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}^{2}$ | ${}$ | -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*g1^12*t^2.663 + g1^22*t^2.882 + t^2.899/g1^32 + t^3.556/g1^2 + 2*g1^8*t^3.775 + g1^18*t^3.994 + t^4.011/g1^36 + g1^28*t^4.214 + t^4.23/g1^26 + t^4.449/g1^16 + t^4.685/g1^60 + 3*g1^24*t^5.326 + g1^34*t^5.545 + (2*t^5.562)/g1^20 + t^5.798/g1^64 - 3*t^6. - t^6.236/g1^44 + 4*g1^20*t^6.438 + 3*g1^30*t^6.657 + (2*t^6.674)/g1^24 + 2*g1^40*t^6.877 + (2*t^6.893)/g1^14 + t^6.91/g1^68 + t^7.112/g1^4 + t^7.129/g1^58 + (2*t^7.348)/g1^48 + g1^16*t^7.551 + t^7.584/g1^92 + 2*g1^26*t^7.77 + 6*g1^36*t^7.989 + (2*t^8.006)/g1^18 + 2*g1^46*t^8.208 + (4*t^8.225)/g1^8 + t^8.241/g1^62 - g1^2*t^8.444 + (4*t^8.46)/g1^52 + g1^66*t^8.646 - 6*g1^12*t^8.663 + (2*t^8.696)/g1^96 - 3*g1^22*t^8.882 - (4*t^8.899)/g1^32 + t^8.915/g1^86 - (g1^6*t^4.331)/y - (g1^18*t^6.994)/y - (g1^28*t^7.214)/y + t^7.449/(g1^16*y) + t^7.669/(g1^6*y) + (g1^24*t^8.326)/y + (2*g1^34*t^8.545)/y + (2*t^8.562)/(g1^20*y) + t^8.781/(g1^10*y) - g1^6*t^4.331*y - g1^18*t^6.994*y - g1^28*t^7.214*y + (t^7.449*y)/g1^16 + (t^7.669*y)/g1^6 + g1^24*t^8.326*y + 2*g1^34*t^8.545*y + (2*t^8.562*y)/g1^20 + (t^8.781*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
4185 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ | 0.6754 | 0.8282 | 0.8156 | [M:[1.0316, 1.1131, 0.9593, 0.8869, 0.7421, 0.9684, 1.2579, 0.8145], q:[0.7783, 0.4072], qb:[0.5611, 0.4796], phi:[0.4434]] | t^2.443 + 2*t^2.661 + t^2.878 + t^2.905 + 2*t^3.774 + t^3.991 + t^4.018 + t^4.208 + t^4.235 + t^4.453 + t^4.697 + t^4.887 + 2*t^5.104 + 4*t^5.321 + t^5.348 + t^5.538 + 2*t^5.566 + t^5.81 - 3*t^6. - t^4.33/y - t^4.33*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 |
---|---|---|---|---|---|---|---|---|---|
1158 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6792 | 0.8367 | 0.8118 | [M:[1.0385, 1.1106, 0.964, 0.8894, 0.7404, 0.9615], q:[0.7776, 0.4075], qb:[0.554, 0.482], 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 |