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 |
---|---|---|---|---|---|---|---|---|---|
56223 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6525 | 0.8091 | 0.8064 | [M:[1.1169, 1.1688, 0.8831, 0.7013, 0.8312, 0.8312, 1.2987], q:[0.3506, 0.5325], qb:[0.4806, 0.7662], phi:[0.4675]] | [M:[[-1], [-10], [1], [-6], [10], [10], [6]], q:[[-3], [4]], qb:[[13], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.494 + t^2.649 + t^2.805 + t^3.039 + t^3.351 + t^3.741 + 2*t^3.896 + t^4.052 + t^4.286 + t^4.442 + t^4.597 + 3*t^4.987 + 2*t^5.143 + 3*t^5.299 + 2*t^5.533 + t^5.689 + 2*t^5.844 - 2*t^6. + t^6.079 - t^6.156 + 2*t^6.234 + 4*t^6.39 + 2*t^6.546 + t^6.701 + 3*t^6.78 - t^6.857 + 4*t^6.936 - t^7.013 + 4*t^7.091 + t^7.325 - t^7.403 + 5*t^7.481 - t^7.558 + 5*t^7.637 + 5*t^7.792 + 4*t^8.027 + 4*t^8.182 - t^8.259 + 5*t^8.338 - 4*t^8.494 + 3*t^8.572 - 4*t^8.649 + 5*t^8.728 - 4*t^8.805 + 7*t^8.884 - t^8.961 - t^4.403/y - t^6.896/y - t^7.208/y + t^7.597/y + t^7.909/y + t^7.987/y + (2*t^8.143)/y + (2*t^8.299)/y + t^8.454/y + (2*t^8.533)/y + t^8.689/y + (3*t^8.844)/y - t^4.403*y - t^6.896*y - t^7.208*y + t^7.597*y + t^7.909*y + t^7.987*y + 2*t^8.143*y + 2*t^8.299*y + t^8.454*y + 2*t^8.533*y + t^8.689*y + 3*t^8.844*y | 2*g1^10*t^2.494 + g1*t^2.649 + t^2.805/g1^8 + g1^17*t^3.039 + t^3.351/g1 + g1^15*t^3.741 + 2*g1^6*t^3.896 + t^4.052/g1^3 + g1^22*t^4.286 + g1^13*t^4.442 + g1^4*t^4.597 + 3*g1^20*t^4.987 + 2*g1^11*t^5.143 + 3*g1^2*t^5.299 + 2*g1^27*t^5.533 + g1^18*t^5.689 + 2*g1^9*t^5.844 - 2*t^6. + g1^34*t^6.079 - t^6.156/g1^9 + 2*g1^25*t^6.234 + 4*g1^16*t^6.39 + 2*g1^7*t^6.546 + t^6.701/g1^2 + 3*g1^32*t^6.78 - t^6.857/g1^11 + 4*g1^23*t^6.936 - t^7.013/g1^20 + 4*g1^14*t^7.091 + g1^39*t^7.325 - t^7.403/g1^4 + 5*g1^30*t^7.481 - t^7.558/g1^13 + 5*g1^21*t^7.637 + 5*g1^12*t^7.792 + 4*g1^37*t^8.027 + 4*g1^28*t^8.182 - t^8.259/g1^15 + 5*g1^19*t^8.338 - 4*g1^10*t^8.494 + 3*g1^44*t^8.572 - 4*g1*t^8.649 + 5*g1^35*t^8.728 - (4*t^8.805)/g1^8 + 7*g1^26*t^8.884 - t^8.961/g1^17 - t^4.403/(g1^4*y) - (g1^6*t^6.896)/y - t^7.208/(g1^12*y) + (g1^4*t^7.597)/y + t^7.909/(g1^14*y) + (g1^20*t^7.987)/y + (2*g1^11*t^8.143)/y + (2*g1^2*t^8.299)/y + t^8.454/(g1^7*y) + (2*g1^27*t^8.533)/y + (g1^18*t^8.689)/y + (3*g1^9*t^8.844)/y - (t^4.403*y)/g1^4 - g1^6*t^6.896*y - (t^7.208*y)/g1^12 + g1^4*t^7.597*y + (t^7.909*y)/g1^14 + g1^20*t^7.987*y + 2*g1^11*t^8.143*y + 2*g1^2*t^8.299*y + (t^8.454*y)/g1^7 + 2*g1^27*t^8.533*y + g1^18*t^8.689*y + 3*g1^9*t^8.844*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 |
---|---|---|---|---|---|---|---|---|
58886 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.6567 | 0.8111 | 0.8096 | [M:[1.1131, 1.131, 0.8869, 0.6786, 0.869, 0.869, 1.3214, 0.9227], q:[0.3393, 0.5476], qb:[0.5297, 0.7738], phi:[0.4524]] | 2*t^2.607 + t^2.661 + t^2.714 + t^2.768 + t^3.339 + t^3.911 + 2*t^3.964 + t^4.018 + t^4.536 + t^4.589 + t^4.643 + 3*t^5.214 + 2*t^5.268 + 3*t^5.321 + 2*t^5.375 + t^5.429 + t^5.482 + t^5.536 + t^5.946 - 2*t^6. - t^4.357/y - t^4.357*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 |
---|---|---|---|---|---|---|---|---|---|
50977 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ | 0.673 | 0.8479 | 0.7937 | [M:[1.1166, 1.1662, 0.8834, 0.6997, 0.8338, 0.8338], q:[0.3499, 0.5335], qb:[0.4839, 0.7668], phi:[0.4665]] | t^2.099 + 2*t^2.501 + t^2.65 + t^2.799 + t^3.052 + t^3.35 + t^3.752 + t^3.901 + t^4.05 + t^4.198 + t^4.303 + t^4.452 + 3*t^4.601 + t^4.749 + t^4.898 + 3*t^5.003 + 3*t^5.152 + 3*t^5.3 + t^5.449 + 2*t^5.554 + t^5.702 + 3*t^5.851 - t^6. - t^4.399/y - t^4.399*y | detail |