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 |
---|---|---|---|---|---|---|---|---|---|
405 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.6359 | 0.8017 | 0.7932 | [M:[1.1522, 0.6956, 0.6739, 1.3261], q:[0.75, 0.4239], qb:[0.4239, 0.4022], phi:[0.5]] | [M:[[2], [-4], [-1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -1 | t^2.087 + 2*t^2.478 + t^3. + 2*t^3.457 + 2*t^3.522 + 2*t^3.978 + 3*t^4.043 + t^4.174 + 2*t^4.565 + 3*t^4.957 + t^5.087 + 2*t^5.478 + 2*t^5.543 + 2*t^5.609 + 2*t^5.935 - t^6. + 3*t^6.13 + t^6.261 + 4*t^6.457 + 4*t^6.522 + 2*t^6.652 + 2*t^6.913 + 2*t^6.978 + 5*t^7.043 + t^7.174 + 4*t^7.435 + 2*t^7.5 + 4*t^7.565 + 2*t^7.63 + 2*t^7.696 + 2*t^7.957 + 4*t^8.022 + 4*t^8.087 + 3*t^8.217 + t^8.348 + 2*t^8.413 - 4*t^8.478 + 4*t^8.609 + 2*t^8.739 + 4*t^8.935 - t^4.5/y - t^6.587/y + t^7.043/y + (2*t^7.565)/y + t^8.087/y + t^8.413/y + (2*t^8.478)/y + (2*t^8.543)/y + (2*t^8.609)/y - t^8.674/y + (4*t^8.935)/y - t^4.5*y - t^6.587*y + t^7.043*y + 2*t^7.565*y + t^8.087*y + t^8.413*y + 2*t^8.478*y + 2*t^8.543*y + 2*t^8.609*y - t^8.674*y + 4*t^8.935*y | t^2.087/g1^4 + 2*g1*t^2.478 + t^3. + 2*g1^2*t^3.457 + (2*t^3.522)/g1 + 2*g1*t^3.978 + (3*t^4.043)/g1^2 + t^4.174/g1^8 + (2*t^4.565)/g1^3 + 3*g1^2*t^4.957 + t^5.087/g1^4 + 2*g1*t^5.478 + (2*t^5.543)/g1^2 + (2*t^5.609)/g1^5 + 2*g1^3*t^5.935 - t^6. + (3*t^6.13)/g1^6 + t^6.261/g1^12 + 4*g1^2*t^6.457 + (4*t^6.522)/g1 + (2*t^6.652)/g1^7 + 2*g1^4*t^6.913 + 2*g1*t^6.978 + (5*t^7.043)/g1^2 + t^7.174/g1^8 + 4*g1^3*t^7.435 + 2*t^7.5 + (4*t^7.565)/g1^3 + (2*t^7.63)/g1^6 + (2*t^7.696)/g1^9 + 2*g1^2*t^7.957 + (4*t^8.022)/g1 + (4*t^8.087)/g1^4 + (3*t^8.217)/g1^10 + t^8.348/g1^16 + 2*g1^4*t^8.413 - 4*g1*t^8.478 + (4*t^8.609)/g1^5 + (2*t^8.739)/g1^11 + 4*g1^3*t^8.935 - t^4.5/y - t^6.587/(g1^4*y) + t^7.043/(g1^2*y) + (2*t^7.565)/(g1^3*y) + t^8.087/(g1^4*y) + (g1^4*t^8.413)/y + (2*g1*t^8.478)/y + (2*t^8.543)/(g1^2*y) + (2*t^8.609)/(g1^5*y) - t^8.674/(g1^8*y) + (4*g1^3*t^8.935)/y - t^4.5*y - (t^6.587*y)/g1^4 + (t^7.043*y)/g1^2 + (2*t^7.565*y)/g1^3 + (t^8.087*y)/g1^4 + g1^4*t^8.413*y + 2*g1*t^8.478*y + (2*t^8.543*y)/g1^2 + (2*t^8.609*y)/g1^5 - (t^8.674*y)/g1^8 + 4*g1^3*t^8.935*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 |
---|---|---|---|---|---|---|---|---|
1835 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6509 | 0.8273 | 0.7868 | [M:[1.1451, 0.7098, 0.6774, 1.3226, 0.8226], q:[0.75, 0.4274], qb:[0.4274, 0.3951], phi:[0.5]] | t^2.129 + 3*t^2.468 + t^3. + 2*t^3.435 + t^3.532 + 2*t^3.968 + 3*t^4.065 + t^4.259 + 3*t^4.597 + 6*t^4.935 + t^5.129 + 3*t^5.468 + 2*t^5.565 + t^5.662 + 4*t^5.903 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
253 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6567 | 0.8429 | 0.7791 | [M:[1.1526, 0.6948, 0.6737], q:[0.75, 0.4237], qb:[0.4237, 0.4026], phi:[0.5]] | t^2.021 + t^2.084 + 2*t^2.479 + t^3. + 2*t^3.458 + 2*t^3.521 + t^3.979 + 4*t^4.042 + t^4.106 + t^4.169 + 2*t^4.5 + 2*t^4.563 + 3*t^4.958 + t^5.021 + t^5.084 + 4*t^5.479 + 4*t^5.542 + 2*t^5.606 + 2*t^5.937 - t^4.5/y - t^4.5*y | detail |