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 |
---|---|---|---|---|---|---|---|---|---|
163 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6356 | 0.8019 | 0.7926 | [M:[1.1615, 0.6769], q:[0.75, 0.4115], qb:[0.4269, 0.4115], phi:[0.5]] | [M:[[1], [-2]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1 | t^2.031 + t^2.469 + t^2.515 + t^3. + 3*t^3.485 + t^3.531 + 2*t^3.969 + 2*t^4.015 + 2*t^4.062 + t^4.5 + t^4.546 + t^4.938 + t^4.985 + 2*t^5.031 + t^5.469 + 4*t^5.515 + t^5.562 + t^5.954 + t^6. + t^6.046 + 2*t^6.092 + 2*t^6.438 + 3*t^6.485 + 3*t^6.531 + 2*t^6.577 + 5*t^6.969 + 2*t^7.015 + 3*t^7.062 + t^7.408 + 3*t^7.454 + 2*t^7.5 + 6*t^7.546 + 2*t^7.592 + 3*t^7.938 + 2*t^7.985 + 3*t^8.031 + 3*t^8.077 + 3*t^8.123 + t^8.423 - t^8.469 + 2*t^8.562 + 2*t^8.608 + 2*t^8.908 + t^8.954 - t^4.5/y - t^6.531/y + t^7.015/y + t^7.5/y + t^7.546/y + t^8.031/y + (2*t^8.469)/y + (4*t^8.515)/y + (3*t^8.954)/y - t^4.5*y - t^6.531*y + t^7.015*y + t^7.5*y + t^7.546*y + t^8.031*y + 2*t^8.469*y + 4*t^8.515*y + 3*t^8.954*y | t^2.031/g1^2 + g1^2*t^2.469 + t^2.515/g1 + t^3. + 3*g1*t^3.485 + t^3.531/g1^2 + 2*g1^2*t^3.969 + (2*t^4.015)/g1 + (2*t^4.062)/g1^4 + t^4.5 + t^4.546/g1^3 + g1^4*t^4.938 + g1*t^4.985 + (2*t^5.031)/g1^2 + g1^2*t^5.469 + (4*t^5.515)/g1 + t^5.562/g1^4 + g1^3*t^5.954 + t^6. + t^6.046/g1^3 + (2*t^6.092)/g1^6 + 2*g1^4*t^6.438 + 3*g1*t^6.485 + (3*t^6.531)/g1^2 + (2*t^6.577)/g1^5 + 5*g1^2*t^6.969 + (2*t^7.015)/g1 + (3*t^7.062)/g1^4 + g1^6*t^7.408 + 3*g1^3*t^7.454 + 2*t^7.5 + (6*t^7.546)/g1^3 + (2*t^7.592)/g1^6 + 3*g1^4*t^7.938 + 2*g1*t^7.985 + (3*t^8.031)/g1^2 + (3*t^8.077)/g1^5 + (3*t^8.123)/g1^8 + g1^5*t^8.423 - g1^2*t^8.469 + (2*t^8.562)/g1^4 + (2*t^8.608)/g1^7 + 2*g1^6*t^8.908 + g1^3*t^8.954 - t^4.5/y - t^6.531/(g1^2*y) + t^7.015/(g1*y) + t^7.5/y + t^7.546/(g1^3*y) + t^8.031/(g1^2*y) + (2*g1^2*t^8.469)/y + (4*t^8.515)/(g1*y) + (3*g1^3*t^8.954)/y - t^4.5*y - (t^6.531*y)/g1^2 + (t^7.015*y)/g1 + t^7.5*y + (t^7.546*y)/g1^3 + (t^8.031*y)/g1^2 + 2*g1^2*t^8.469*y + (4*t^8.515*y)/g1 + 3*g1^3*t^8.954*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 |
---|---|---|---|---|---|---|---|---|
257 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ | 0.6564 | 0.8431 | 0.7786 | [M:[1.1623, 0.6755, 0.6755], q:[0.75, 0.4123], qb:[0.4255, 0.4123], phi:[0.5]] | 2*t^2.026 + t^2.474 + t^2.513 + t^3. + 3*t^3.487 + t^3.526 + t^3.974 + 2*t^4.013 + 4*t^4.053 + 2*t^4.5 + 2*t^4.54 + t^4.947 + t^4.987 + 3*t^5.026 + t^5.474 + 7*t^5.513 + 2*t^5.553 + t^5.96 + 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 |