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 |
---|---|---|---|---|---|---|---|---|---|
164 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6363 | 0.8037 | 0.7917 | [M:[1.1421, 0.679], q:[0.75, 0.429], qb:[0.429, 0.3921], phi:[0.5]] | [M:[[2], [-1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0 | t^2.037 + 2*t^2.463 + t^3. + 2*t^3.426 + 2*t^3.537 + t^3.853 + t^3.963 + 4*t^4.074 + 2*t^4.5 + 3*t^4.926 + t^5.037 + 4*t^5.463 + 2*t^5.574 + 3*t^5.889 + 2*t^6.111 + 2*t^6.316 + 2*t^6.426 + 6*t^6.537 + 3*t^6.853 + 4*t^6.963 + 3*t^7.074 + 2*t^7.279 + 4*t^7.389 + 4*t^7.5 + 4*t^7.611 + t^7.705 + t^7.816 + 6*t^7.926 - t^8.037 + 7*t^8.147 + 4*t^8.353 - 2*t^8.463 + 2*t^8.574 + 3*t^8.779 + 4*t^8.889 - t^4.5/y - t^6.537/y + t^7.074/y + (2*t^7.5)/y + t^8.037/y + (5*t^8.463)/y + t^8.574/y + (5*t^8.889)/y - t^4.5*y - t^6.537*y + t^7.074*y + 2*t^7.5*y + t^8.037*y + 5*t^8.463*y + t^8.574*y + 5*t^8.889*y | t^2.037/g1 + 2*g1*t^2.463 + t^3. + 2*g1^2*t^3.426 + (2*t^3.537)/g1 + g1^4*t^3.853 + g1*t^3.963 + (4*t^4.074)/g1^2 + 2*t^4.5 + 3*g1^2*t^4.926 + t^5.037/g1 + 4*g1*t^5.463 + (2*t^5.574)/g1^2 + 3*g1^3*t^5.889 + (2*t^6.111)/g1^3 + 2*g1^5*t^6.316 + 2*g1^2*t^6.426 + (6*t^6.537)/g1 + 3*g1^4*t^6.853 + 4*g1*t^6.963 + (3*t^7.074)/g1^2 + 2*g1^6*t^7.279 + 4*g1^3*t^7.389 + 4*t^7.5 + (4*t^7.611)/g1^3 + g1^8*t^7.705 + g1^5*t^7.816 + 6*g1^2*t^7.926 - t^8.037/g1 + (7*t^8.147)/g1^4 + 4*g1^4*t^8.353 - 2*g1*t^8.463 + (2*t^8.574)/g1^2 + 3*g1^6*t^8.779 + 4*g1^3*t^8.889 - t^4.5/y - t^6.537/(g1*y) + t^7.074/(g1^2*y) + (2*t^7.5)/y + t^8.037/(g1*y) + (5*g1*t^8.463)/y + t^8.574/(g1^2*y) + (5*g1^3*t^8.889)/y - t^4.5*y - (t^6.537*y)/g1 + (t^7.074*y)/g1^2 + 2*t^7.5*y + (t^8.037*y)/g1 + 5*g1*t^8.463*y + (t^8.574*y)/g1^2 + 5*g1^3*t^8.889*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 |
---|---|---|---|---|---|---|---|---|
259 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.6155 | 0.7629 | 0.8067 | [M:[1.1409, 0.6796, 1.3204], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]] | 2*t^2.461 + t^3. + 2*t^3.423 + 2*t^3.539 + t^3.845 + 2*t^3.961 + 3*t^4.077 + 3*t^4.923 + 2*t^5.461 + 2*t^5.884 - t^6. - t^4.5/y - t^4.5*y | detail | |
258 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6571 | 0.8446 | 0.778 | [M:[1.1432, 0.6784, 0.6784], q:[0.75, 0.4284], qb:[0.4284, 0.3932], phi:[0.5]] | 2*t^2.035 + 2*t^2.465 + t^3. + 2*t^3.43 + 2*t^3.535 + t^3.859 + 6*t^4.07 + 4*t^4.5 + 3*t^4.93 + 2*t^5.035 + 6*t^5.465 + 4*t^5.57 + 4*t^5.894 - t^6. - t^4.5/y - t^4.5*y | detail | |
1723 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6516 | 0.8309 | 0.7842 | [M:[1.131, 0.6845, 0.8155], q:[0.75, 0.4345], qb:[0.4345, 0.381], phi:[0.5]] | t^2.053 + 3*t^2.447 + t^3. + 2*t^3.393 + t^3.553 + t^3.786 + t^3.947 + 4*t^4.107 + 3*t^4.5 + 6*t^4.893 + t^5.053 + 5*t^5.447 + t^5.607 + 5*t^5.84 - t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
103 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6363 | 0.8038 | 0.7916 | [M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.4275, 0.392], phi:[0.5]] | t^2.032 + t^2.458 + t^2.468 + t^3. + 2*t^3.426 + t^3.532 + t^3.542 + t^3.852 + t^3.958 + 2*t^4.065 + t^4.074 + t^4.083 + t^4.491 + t^4.5 + t^4.917 + t^4.926 + t^4.935 + t^5.032 + 3*t^5.458 + t^5.468 + t^5.565 + t^5.574 + 2*t^5.884 + t^5.893 + t^5.991 - t^6. - t^4.5/y - t^4.5*y | detail |