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 |
---|---|---|---|---|---|---|---|---|---|
46808 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6438 | 0.8203 | 0.7848 | [M:[0.8245, 0.7837, 0.6755, 1.2163, 1.1755], q:[0.75, 0.4255], qb:[0.3582, 0.4663], phi:[0.5]] | [M:[[3], [-2], [-3], [2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | ${}M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.026 + t^2.351 + t^2.474 + t^2.675 + t^3. + t^3.325 + t^3.526 + 2*t^3.649 + t^3.851 + 2*t^4.053 + t^4.175 + t^4.298 + t^4.377 + t^4.5 + 2*t^4.702 + t^4.825 + t^4.947 + 2*t^5.026 + t^5.149 + 3*t^5.351 + t^5.474 + t^5.553 + 3*t^5.675 + t^5.877 + t^6. + 2*t^6.079 + t^6.123 + 2*t^6.202 + 2*t^6.325 + 2*t^6.404 + 3*t^6.526 + 2*t^6.649 + 3*t^6.728 + t^6.772 + 2*t^6.851 + 2*t^6.974 + 4*t^7.053 + 2*t^7.175 + 2*t^7.298 + 4*t^7.377 + t^7.421 + t^7.5 + 2*t^7.579 + 6*t^7.702 + t^7.825 + 2*t^7.904 + 2*t^7.947 + 2*t^8.026 + 3*t^8.106 + 3*t^8.228 + 3*t^8.351 + 2*t^8.43 + 3*t^8.553 + 2*t^8.596 + 4*t^8.755 + 3*t^8.877 - t^4.5/y - t^6.526/y + t^7.377/y + t^7.5/y + t^7.702/y + t^7.825/y + (2*t^8.026)/y + t^8.149/y + (2*t^8.351)/y + (2*t^8.474)/y + (4*t^8.675)/y + t^8.798/y + (2*t^8.877)/y - t^4.5*y - t^6.526*y + t^7.377*y + t^7.5*y + t^7.702*y + t^7.825*y + 2*t^8.026*y + t^8.149*y + 2*t^8.351*y + 2*t^8.474*y + 4*t^8.675*y + t^8.798*y + 2*t^8.877*y | t^2.026/g1^3 + t^2.351/g1^2 + g1^3*t^2.474 + t^2.675/g1 + t^3. + g1*t^3.325 + t^3.526/g1^3 + 2*g1^2*t^3.649 + t^3.851/g1^2 + (2*t^4.053)/g1^6 + t^4.175/g1 + g1^4*t^4.298 + t^4.377/g1^5 + t^4.5 + (2*t^4.702)/g1^4 + g1*t^4.825 + g1^6*t^4.947 + (2*t^5.026)/g1^3 + g1^2*t^5.149 + (3*t^5.351)/g1^2 + g1^3*t^5.474 + t^5.553/g1^6 + (3*t^5.675)/g1 + t^5.877/g1^5 + t^6. + (2*t^6.079)/g1^9 + g1^5*t^6.123 + (2*t^6.202)/g1^4 + 2*g1*t^6.325 + (2*t^6.404)/g1^8 + (3*t^6.526)/g1^3 + 2*g1^2*t^6.649 + (3*t^6.728)/g1^7 + g1^7*t^6.772 + (2*t^6.851)/g1^2 + 2*g1^3*t^6.974 + (4*t^7.053)/g1^6 + (2*t^7.175)/g1 + 2*g1^4*t^7.298 + (4*t^7.377)/g1^5 + g1^9*t^7.421 + t^7.5 + (2*t^7.579)/g1^9 + (6*t^7.702)/g1^4 + g1*t^7.825 + (2*t^7.904)/g1^8 + 2*g1^6*t^7.947 + (2*t^8.026)/g1^3 + (3*t^8.106)/g1^12 + (3*t^8.228)/g1^7 + (3*t^8.351)/g1^2 + (2*t^8.43)/g1^11 + (3*t^8.553)/g1^6 + 2*g1^8*t^8.596 + (4*t^8.755)/g1^10 + (3*t^8.877)/g1^5 - t^4.5/y - t^6.526/(g1^3*y) + t^7.377/(g1^5*y) + t^7.5/y + t^7.702/(g1^4*y) + (g1*t^7.825)/y + (2*t^8.026)/(g1^3*y) + (g1^2*t^8.149)/y + (2*t^8.351)/(g1^2*y) + (2*g1^3*t^8.474)/y + (4*t^8.675)/(g1*y) + (g1^4*t^8.798)/y + (2*t^8.877)/(g1^5*y) - t^4.5*y - (t^6.526*y)/g1^3 + (t^7.377*y)/g1^5 + t^7.5*y + (t^7.702*y)/g1^4 + g1*t^7.825*y + (2*t^8.026*y)/g1^3 + g1^2*t^8.149*y + (2*t^8.351*y)/g1^2 + 2*g1^3*t^8.474*y + (4*t^8.675*y)/g1 + g1^4*t^8.798*y + (2*t^8.877*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
53454 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.664 | 0.8582 | 0.7737 | [M:[0.8199, 0.7867, 0.6801, 1.2133, 1.1801, 0.7133], q:[0.75, 0.4301], qb:[0.3566, 0.4633], phi:[0.5]] | t^2.04 + t^2.14 + t^2.36 + t^2.46 + t^2.68 + t^3. + t^3.32 + t^3.54 + 2*t^3.64 + 2*t^4.081 + 2*t^4.18 + 2*t^4.28 + t^4.401 + 2*t^4.5 + t^4.599 + 2*t^4.72 + 2*t^4.82 + t^4.919 + 2*t^5.04 + 2*t^5.14 + 3*t^5.36 + 2*t^5.46 + t^5.581 + 4*t^5.68 + 2*t^5.78 + 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 |
---|---|---|---|---|---|---|---|---|---|
46512 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.6593 | 0.8468 | 0.7786 | [M:[0.8067, 0.7955, 0.6933, 1.2045], q:[0.75, 0.4433], qb:[0.3522, 0.4545], phi:[0.5]] | t^2.08 + t^2.387 + 2*t^2.42 + t^2.693 + t^3. + t^3.307 + 2*t^3.613 + t^3.887 + 2*t^4.16 + t^4.193 + t^4.227 + t^4.466 + 2*t^4.5 + 2*t^4.773 + 2*t^4.807 + 3*t^4.84 + 2*t^5.08 + 2*t^5.113 + 3*t^5.387 + 2*t^5.42 + 3*t^5.693 + t^5.727 - t^4.5/y - t^4.5*y | detail |