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 |
---|---|---|---|---|---|---|---|---|---|
257 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ | 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]] | [M:[[1], [-2], [-2]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1 | 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. + 3*t^6.04 + 6*t^6.079 + t^6.447 + 2*t^6.487 + 5*t^6.526 + 4*t^6.566 + 5*t^6.974 + 3*t^7.013 + 6*t^7.053 + t^7.421 + 2*t^7.5 + 13*t^7.54 + 4*t^7.579 + t^7.947 + t^7.987 + 2*t^8.026 + 6*t^8.066 + 9*t^8.106 + t^8.434 - t^8.474 + t^8.513 + 7*t^8.553 + 6*t^8.593 + t^8.921 - t^4.5/y - (2*t^6.526)/y + t^7.013/y + t^7.053/y + (2*t^7.5)/y + (2*t^7.54)/y + (2*t^8.026)/y + (3*t^8.474)/y + (7*t^8.513)/y - t^8.553/y + (3*t^8.96)/y - t^4.5*y - 2*t^6.526*y + t^7.013*y + t^7.053*y + 2*t^7.5*y + 2*t^7.54*y + 2*t^8.026*y + 3*t^8.474*y + 7*t^8.513*y - t^8.553*y + 3*t^8.96*y | (2*t^2.026)/g1^2 + g1^2*t^2.474 + t^2.513/g1 + t^3. + 3*g1*t^3.487 + t^3.526/g1^2 + g1^2*t^3.974 + (2*t^4.013)/g1 + (4*t^4.053)/g1^4 + 2*t^4.5 + (2*t^4.54)/g1^3 + g1^4*t^4.947 + g1*t^4.987 + (3*t^5.026)/g1^2 + g1^2*t^5.474 + (7*t^5.513)/g1 + (2*t^5.553)/g1^4 + g1^3*t^5.96 + t^6. + (3*t^6.04)/g1^3 + (6*t^6.079)/g1^6 + g1^4*t^6.447 + 2*g1*t^6.487 + (5*t^6.526)/g1^2 + (4*t^6.566)/g1^5 + 5*g1^2*t^6.974 + (3*t^7.013)/g1 + (6*t^7.053)/g1^4 + g1^6*t^7.421 + 2*t^7.5 + (13*t^7.54)/g1^3 + (4*t^7.579)/g1^6 + g1^4*t^7.947 + g1*t^7.987 + (2*t^8.026)/g1^2 + (6*t^8.066)/g1^5 + (9*t^8.106)/g1^8 + g1^5*t^8.434 - g1^2*t^8.474 + t^8.513/g1 + (7*t^8.553)/g1^4 + (6*t^8.593)/g1^7 + g1^6*t^8.921 - t^4.5/y - (2*t^6.526)/(g1^2*y) + t^7.013/(g1*y) + t^7.053/(g1^4*y) + (2*t^7.5)/y + (2*t^7.54)/(g1^3*y) + (2*t^8.026)/(g1^2*y) + (3*g1^2*t^8.474)/y + (7*t^8.513)/(g1*y) - t^8.553/(g1^4*y) + (3*g1^3*t^8.96)/y - t^4.5*y - (2*t^6.526*y)/g1^2 + (t^7.013*y)/g1 + (t^7.053*y)/g1^4 + 2*t^7.5*y + (2*t^7.54*y)/g1^3 + (2*t^8.026*y)/g1^2 + 3*g1^2*t^8.474*y + (7*t^8.513*y)/g1 - (t^8.553*y)/g1^4 + 3*g1^3*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
408 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6772 | 0.8843 | 0.7658 | [M:[1.1628, 0.6744, 0.6744, 0.6744], q:[0.75, 0.4128], qb:[0.4244, 0.4128], phi:[0.5]] | 3*t^2.023 + t^2.477 + t^2.512 + t^3. + 3*t^3.488 + t^3.523 + 2*t^4.012 + 7*t^4.046 + 3*t^4.5 + 3*t^4.535 + t^4.954 + t^4.988 + 4*t^5.023 + t^5.477 + 10*t^5.512 + 3*t^5.546 + t^5.965 - 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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.5/y - t^4.5*y | detail |