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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4473 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{8}$ | 0.7002 | 0.8611 | 0.8132 | [M:[0.9371, 1.021, 1.0629, 0.8951, 0.9371, 0.979, 0.9371, 1.1049], q:[0.4685, 0.5944], qb:[0.4685, 0.5105], phi:[0.4895]] | [M:[[-6], [2], [6], [-10], [-6], [-2], [-6], [10]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -6 | 3*t^2.811 + 3*t^2.937 + t^3.315 + 3*t^4.28 + 2*t^4.406 + t^4.531 + 2*t^4.657 + t^4.783 + t^5.035 + 4*t^5.623 + 8*t^5.748 + 4*t^5.874 - 6*t^6. + 2*t^6.252 - 2*t^6.377 + t^6.629 + 7*t^7.091 + 12*t^7.217 + 3*t^7.343 + 4*t^7.594 + 3*t^7.972 + t^8.349 + 5*t^8.434 + 15*t^8.56 + 14*t^8.685 - 8*t^8.811 - 14*t^8.937 - t^4.469/y - (2*t^7.28)/y - t^7.406/y + t^7.531/y + (2*t^7.657)/y + (3*t^8.623)/y + (9*t^8.748)/y + (3*t^8.874)/y - t^4.469*y - 2*t^7.28*y - t^7.406*y + t^7.531*y + 2*t^7.657*y + 3*t^8.623*y + 9*t^8.748*y + 3*t^8.874*y | (3*t^2.811)/g1^6 + (3*t^2.937)/g1^2 + g1^10*t^3.315 + (3*t^4.28)/g1^7 + (2*t^4.406)/g1^3 + g1*t^4.531 + 2*g1^5*t^4.657 + g1^9*t^4.783 + g1^17*t^5.035 + (4*t^5.623)/g1^12 + (8*t^5.748)/g1^8 + (4*t^5.874)/g1^4 - 6*t^6. + 2*g1^8*t^6.252 - 2*g1^12*t^6.377 + g1^20*t^6.629 + (7*t^7.091)/g1^13 + (12*t^7.217)/g1^9 + (3*t^7.343)/g1^5 + 4*g1^3*t^7.594 + 3*g1^15*t^7.972 + g1^27*t^8.349 + (5*t^8.434)/g1^18 + (15*t^8.56)/g1^14 + (14*t^8.685)/g1^10 - (8*t^8.811)/g1^6 - (14*t^8.937)/g1^2 - t^4.469/(g1*y) - (2*t^7.28)/(g1^7*y) - t^7.406/(g1^3*y) + (g1*t^7.531)/y + (2*g1^5*t^7.657)/y + (3*t^8.623)/(g1^12*y) + (9*t^8.748)/(g1^8*y) + (3*t^8.874)/(g1^4*y) - (t^4.469*y)/g1 - (2*t^7.28*y)/g1^7 - (t^7.406*y)/g1^3 + g1*t^7.531*y + 2*g1^5*t^7.657*y + (3*t^8.623*y)/g1^12 + (9*t^8.748*y)/g1^8 + (3*t^8.874*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|---|
2437 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7118 | 0.8844 | 0.8049 | [M:[0.9078, 1.0307, 1.0922, 0.8463, 0.9078, 0.9693, 0.9078], q:[0.4539, 0.6383], qb:[0.4539, 0.5154], phi:[0.4846]] | t^2.539 + 3*t^2.723 + 3*t^2.908 + 3*t^4.177 + 2*t^4.362 + t^4.546 + 2*t^4.73 + t^4.915 + t^5.078 + 3*t^5.262 + t^5.284 + 7*t^5.447 + 8*t^5.631 + 4*t^5.816 - 6*t^6. - t^4.454/y - t^4.454*y | detail |