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 |
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5476 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$ + ${ }M_{2}M_{8}$ | 0.5866 | 0.7234 | 0.8109 | [X:[1.2149, 1.4138], M:[0.5862, 1.0053, 0.7851, 0.8064, 1.1936, 0.9947, 0.8064, 0.9947], q:[0.9112, 0.5027], qb:[0.3037, 0.691], phi:[0.3979]] | [X:[[28], [26]], M:[[-26], [10], [-28], [12], [-12], [-10], [12], [-10]], q:[[21], [5]], qb:[[7], [-17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -2 | t^2.387 + 2*t^2.419 + 2*t^2.984 + t^3.613 + t^3.645 + t^4.21 + t^4.241 + t^4.775 + 3*t^4.806 + 3*t^4.838 + t^5.371 + 3*t^5.403 + 2*t^5.968 - 2*t^6. + 2*t^6.032 + 2*t^6.064 - t^6.565 + 3*t^6.629 + 2*t^6.661 + 2*t^7.194 + 4*t^7.225 + 4*t^7.257 + t^7.289 + t^7.759 + t^7.79 + 2*t^7.822 + t^7.854 + t^7.886 - 4*t^8.419 + 4*t^8.451 + 4*t^8.483 + 2*t^8.952 - 6*t^8.984 - t^4.194/y - t^6.581/y - t^6.613/y - t^7.178/y + t^7.21/y + t^7.775/y + (3*t^7.806)/y + t^7.838/y + (2*t^8.371)/y + (4*t^8.403)/y - t^4.194*y - t^6.581*y - t^6.613*y - t^7.178*y + t^7.21*y + t^7.775*y + 3*t^7.806*y + t^7.838*y + 2*t^8.371*y + 4*t^8.403*y | t^2.387/g1^8 + 2*g1^12*t^2.419 + (2*t^2.984)/g1^10 + g1^8*t^3.613 + g1^28*t^3.645 + g1^6*t^4.21 + g1^26*t^4.241 + t^4.775/g1^16 + 3*g1^4*t^4.806 + 3*g1^24*t^4.838 + t^5.371/g1^18 + 3*g1^2*t^5.403 + (2*t^5.968)/g1^20 - 2*t^6. + 2*g1^20*t^6.032 + 2*g1^40*t^6.064 - t^6.565/g1^22 + 3*g1^18*t^6.629 + 2*g1^38*t^6.661 + (2*t^7.194)/g1^4 + 4*g1^16*t^7.225 + 4*g1^36*t^7.257 + g1^56*t^7.289 + t^7.759/g1^26 + t^7.79/g1^6 + 2*g1^14*t^7.822 + g1^34*t^7.854 + g1^54*t^7.886 - 4*g1^12*t^8.419 + 4*g1^32*t^8.451 + 4*g1^52*t^8.483 + (2*t^8.952)/g1^30 - (6*t^8.984)/g1^10 - t^4.194/(g1^4*y) - t^6.581/(g1^12*y) - (g1^8*t^6.613)/y - t^7.178/(g1^14*y) + (g1^6*t^7.21)/y + t^7.775/(g1^16*y) + (3*g1^4*t^7.806)/y + (g1^24*t^7.838)/y + (2*t^8.371)/(g1^18*y) + (4*g1^2*t^8.403)/y - (t^4.194*y)/g1^4 - (t^6.581*y)/g1^12 - g1^8*t^6.613*y - (t^7.178*y)/g1^14 + g1^6*t^7.21*y + (t^7.775*y)/g1^16 + 3*g1^4*t^7.806*y + g1^24*t^7.838*y + (2*t^8.371*y)/g1^18 + 4*g1^2*t^8.403*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3886 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}X_{2}$ | 0.5867 | 0.7259 | 0.8083 | [X:[1.1773, 1.379], M:[0.621, 0.9919, 0.8227, 0.7903, 1.2097, 1.0081, 0.7903], q:[0.883, 0.496], qb:[0.2943, 0.7138], phi:[0.4032]] | 2*t^2.371 + t^2.419 + t^2.976 + t^3.024 + t^3.532 + t^3.581 + t^4.137 + t^4.185 + 3*t^4.742 + 3*t^4.79 + t^4.839 + 2*t^5.347 + 2*t^5.395 + 2*t^5.903 + 3*t^5.951 - t^6. - t^4.21/y - t^4.21*y | detail |