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 |
---|---|---|---|---|---|---|---|---|---|
53488 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.7134 | 0.8806 | 0.8101 | [M:[0.9499, 0.8496, 0.9499, 1.0501, 1.0501, 0.8496], q:[0.5251, 0.5251], qb:[0.6253, 0.4248], phi:[0.4749]] | [M:[[2], [6], [2], [-2], [-2], [6]], q:[[-1], [-1]], qb:[[-5], [3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}^{2}$ | 0 | 2*t^2.549 + 3*t^2.85 + 2*t^3.15 + t^3.974 + 2*t^4.274 + 4*t^4.575 + 2*t^4.876 + 3*t^5.098 + t^5.177 + 5*t^5.398 + 6*t^5.699 - 2*t^6.301 + 2*t^6.522 - t^6.602 + 6*t^6.823 + 10*t^7.124 + 9*t^7.425 + 4*t^7.646 + 3*t^7.726 + 8*t^7.947 + 10*t^8.248 + 3*t^8.549 - 6*t^8.85 - t^4.425/y - (2*t^6.974)/y - t^7.274/y + t^7.575/y + (2*t^7.876)/y + t^8.098/y + (6*t^8.398)/y + (7*t^8.699)/y - t^4.425*y - 2*t^6.974*y - t^7.274*y + t^7.575*y + 2*t^7.876*y + t^8.098*y + 6*t^8.398*y + 7*t^8.699*y | 2*g1^6*t^2.549 + 3*g1^2*t^2.85 + (2*t^3.15)/g1^2 + g1^7*t^3.974 + 2*g1^3*t^4.274 + (4*t^4.575)/g1 + (2*t^4.876)/g1^5 + 3*g1^12*t^5.098 + t^5.177/g1^9 + 5*g1^8*t^5.398 + 6*g1^4*t^5.699 - (2*t^6.301)/g1^4 + 2*g1^13*t^6.522 - t^6.602/g1^8 + 6*g1^9*t^6.823 + 10*g1^5*t^7.124 + 9*g1*t^7.425 + 4*g1^18*t^7.646 + (3*t^7.726)/g1^3 + 8*g1^14*t^7.947 + 10*g1^10*t^8.248 + 3*g1^6*t^8.549 - 6*g1^2*t^8.85 - (g1*t^4.425)/y - (2*g1^7*t^6.974)/y - (g1^3*t^7.274)/y + t^7.575/(g1*y) + (2*t^7.876)/(g1^5*y) + (g1^12*t^8.098)/y + (6*g1^8*t^8.398)/y + (7*g1^4*t^8.699)/y - g1*t^4.425*y - 2*g1^7*t^6.974*y - g1^3*t^7.274*y + (t^7.575*y)/g1 + (2*t^7.876*y)/g1^5 + g1^12*t^8.098*y + 6*g1^8*t^8.398*y + 7*g1^4*t^8.699*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 |
---|---|---|---|---|---|---|---|---|
56462 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{7}$ | 0.7183 | 0.89 | 0.807 | [M:[0.9449, 0.8347, 0.9449, 1.0551, 1.0551, 0.8347, 0.9449], q:[0.5275, 0.5275], qb:[0.6377, 0.4174], phi:[0.4725]] | 2*t^2.504 + 4*t^2.835 + t^3.165 + t^3.922 + 2*t^4.252 + 4*t^4.583 + 2*t^4.913 + 3*t^5.008 + t^5.244 + 7*t^5.339 + 8*t^5.669 - 2*t^6. - t^4.417/y - t^4.417*y | detail | |
56463 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7342 | 0.9217 | 0.7966 | [M:[0.9505, 0.8516, 0.9505, 1.0495, 1.0495, 0.8516, 0.6731], q:[0.5247, 0.5247], qb:[0.6236, 0.4258], phi:[0.4753]] | t^2.019 + 2*t^2.555 + 3*t^2.852 + 2*t^3.148 + t^4.038 + 2*t^4.277 + 6*t^4.574 + 5*t^4.871 + 3*t^5.11 + 3*t^5.168 + 5*t^5.407 + 6*t^5.703 - t^4.426/y - t^4.426*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 |
---|---|---|---|---|---|---|---|---|---|
47230 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7182 | 0.8876 | 0.8092 | [M:[0.8798, 0.8198, 1.0, 1.0601, 1.0, 0.8798], q:[0.5901, 0.53], qb:[0.5901, 0.4099], phi:[0.47]] | t^2.459 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.869 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.919 + 3*t^4.951 + 2*t^5.099 + 4*t^5.279 + 2*t^5.459 + 5*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y | detail |