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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58082 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6658 | 0.8419 | 0.7909 | [M:[1.1831, 0.7323, 0.8169, 0.8451, 0.8169, 1.1549, 0.8169, 0.7887], q:[0.4226, 0.3944], qb:[0.8451, 0.7605], phi:[0.3944]] | [M:[[3], [12], [-3], [-8], [-3], [8], [-3], [2]], q:[[-4], [1]], qb:[[-8], [7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | t^2.197 + 2*t^2.366 + 3*t^2.451 + t^3.465 + 2*t^3.718 + t^4.394 + 2*t^4.563 + 3*t^4.648 + 3*t^4.732 + 7*t^4.817 + 6*t^4.901 + t^5.662 + t^5.831 + 3*t^5.915 - 3*t^6. + 2*t^6.085 + 5*t^6.169 + t^6.591 + 2*t^6.76 + 3*t^6.845 + 4*t^6.929 + 6*t^7.014 + 7*t^7.099 + 9*t^7.183 + 10*t^7.268 + 7*t^7.352 + 2*t^7.437 + t^7.859 + t^8.028 + 3*t^8.112 - 2*t^8.197 + t^8.282 - 2*t^8.366 - 9*t^8.451 + 4*t^8.535 + 8*t^8.62 + t^8.788 + 2*t^8.957 - t^4.183/y - t^6.38/y - (2*t^6.549)/y - (2*t^6.634)/y + (2*t^7.563)/y + (3*t^7.648)/y + (3*t^7.732)/y + (8*t^7.817)/y + (3*t^7.901)/y + t^7.986/y - t^8.577/y + t^8.662/y - (2*t^8.746)/y + (2*t^8.915)/y - t^4.183*y - t^6.38*y - 2*t^6.549*y - 2*t^6.634*y + 2*t^7.563*y + 3*t^7.648*y + 3*t^7.732*y + 8*t^7.817*y + 3*t^7.901*y + t^7.986*y - t^8.577*y + t^8.662*y - 2*t^8.746*y + 2*t^8.915*y | g1^12*t^2.197 + 2*g1^2*t^2.366 + (3*t^2.451)/g1^3 + g1^8*t^3.465 + (2*t^3.718)/g1^7 + g1^24*t^4.394 + 2*g1^14*t^4.563 + 3*g1^9*t^4.648 + 3*g1^4*t^4.732 + (7*t^4.817)/g1 + (6*t^4.901)/g1^6 + g1^20*t^5.662 + g1^10*t^5.831 + 3*g1^5*t^5.915 - 3*t^6. + (2*t^6.085)/g1^5 + (5*t^6.169)/g1^10 + g1^36*t^6.591 + 2*g1^26*t^6.76 + 3*g1^21*t^6.845 + 4*g1^16*t^6.929 + 6*g1^11*t^7.014 + 7*g1^6*t^7.099 + 9*g1*t^7.183 + (10*t^7.268)/g1^4 + (7*t^7.352)/g1^9 + (2*t^7.437)/g1^14 + g1^32*t^7.859 + g1^22*t^8.028 + 3*g1^17*t^8.112 - 2*g1^12*t^8.197 + g1^7*t^8.282 - 2*g1^2*t^8.366 - (9*t^8.451)/g1^3 + (4*t^8.535)/g1^8 + (8*t^8.62)/g1^13 + g1^48*t^8.788 + 2*g1^38*t^8.957 - (g1*t^4.183)/y - (g1^13*t^6.38)/y - (2*g1^3*t^6.549)/y - (2*t^6.634)/(g1^2*y) + (2*g1^14*t^7.563)/y + (3*g1^9*t^7.648)/y + (3*g1^4*t^7.732)/y + (8*t^7.817)/(g1*y) + (3*t^7.901)/(g1^6*y) + t^7.986/(g1^11*y) - (g1^25*t^8.577)/y + (g1^20*t^8.662)/y - (2*g1^15*t^8.746)/y + (2*g1^5*t^8.915)/y - g1*t^4.183*y - g1^13*t^6.38*y - 2*g1^3*t^6.549*y - (2*t^6.634*y)/g1^2 + 2*g1^14*t^7.563*y + 3*g1^9*t^7.648*y + 3*g1^4*t^7.732*y + (8*t^7.817*y)/g1 + (3*t^7.901*y)/g1^6 + (t^7.986*y)/g1^11 - g1^25*t^8.577*y + g1^20*t^8.662*y - 2*g1^15*t^8.746*y + 2*g1^5*t^8.915*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 |
---|---|---|---|---|---|---|---|---|---|
56042 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ | 0.6487 | 0.8115 | 0.7994 | [M:[1.185, 0.7398, 0.815, 0.8401, 0.815, 1.1599, 0.815], q:[0.4201, 0.395], qb:[0.8401, 0.7649], phi:[0.395]] | t^2.22 + t^2.37 + 3*t^2.445 + t^3.48 + t^3.63 + 2*t^3.705 + t^4.439 + t^4.589 + 3*t^4.665 + t^4.74 + 4*t^4.815 + 6*t^4.89 + t^5.699 + t^5.85 + 3*t^5.925 - 2*t^6. - t^4.185/y - t^4.185*y | detail |