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 |
---|---|---|---|---|---|---|---|---|---|
47232 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6252 | 0.7769 | 0.8047 | [M:[1.0648, 0.7824, 1.1451, 0.7176, 1.0], q:[0.6489, 0.2863], qb:[0.5687, 0.7863], phi:[0.4275]] | [M:[[-12], [-6], [4], [6], [0]], q:[[11], [1]], qb:[[-5], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{3}$ | ${}$ | -1 | t^2.153 + t^2.347 + t^2.565 + t^3. + t^3.194 + t^3.218 + t^3.435 + t^4.065 + t^4.088 + 2*t^4.306 + t^4.5 + 2*t^4.694 + t^4.718 + t^4.935 + t^5.13 + t^5.176 + 2*t^5.347 + t^5.37 + t^5.542 + 2*t^5.565 + t^5.588 + t^5.782 - t^6. + 2*t^6.218 + t^6.389 + t^6.412 + t^6.435 + 2*t^6.458 + t^6.63 + 2*t^6.653 + t^6.847 + t^6.87 + t^7.042 + t^7.088 + 2*t^7.259 + t^7.282 + t^7.306 + t^7.329 + 2*t^7.5 + 2*t^7.523 + 3*t^7.694 + t^7.718 + 2*t^7.741 + 2*t^7.889 + t^7.912 + 2*t^8.13 - 2*t^8.153 + t^8.176 - 2*t^8.347 + 2*t^8.37 + t^8.394 + t^8.542 + t^8.565 + 3*t^8.611 + t^8.736 + 2*t^8.759 + t^8.782 + t^8.806 - t^4.282/y - t^6.435/y - t^6.63/y + t^7.088/y - t^7.477/y + t^7.5/y + t^7.718/y + t^7.912/y + t^7.935/y + t^8.13/y + t^8.153/y + (2*t^8.347)/y + t^8.37/y + t^8.542/y + (2*t^8.565)/y + t^8.759/y + t^8.782/y - t^8.977/y - t^4.282*y - t^6.435*y - t^6.63*y + t^7.088*y - t^7.477*y + t^7.5*y + t^7.718*y + t^7.912*y + t^7.935*y + t^8.13*y + t^8.153*y + 2*t^8.347*y + t^8.37*y + t^8.542*y + 2*t^8.565*y + t^8.759*y + t^8.782*y - t^8.977*y | g1^6*t^2.153 + t^2.347/g1^6 + t^2.565/g1^4 + t^3. + t^3.194/g1^12 + g1^2*t^3.218 + g1^4*t^3.435 + t^4.065/g1^4 + g1^10*t^4.088 + 2*g1^12*t^4.306 + t^4.5 + (2*t^4.694)/g1^12 + g1^2*t^4.718 + g1^4*t^4.935 + t^5.13/g1^8 + g1^20*t^5.176 + (2*t^5.347)/g1^6 + g1^8*t^5.37 + t^5.542/g1^18 + (2*t^5.565)/g1^4 + g1^10*t^5.588 + t^5.782/g1^2 - t^6. + 2*g1^2*t^6.218 + t^6.389/g1^24 + t^6.412/g1^10 + g1^4*t^6.435 + 2*g1^18*t^6.458 + t^6.63/g1^8 + 2*g1^6*t^6.653 + t^6.847/g1^6 + g1^8*t^6.87 + t^7.042/g1^18 + g1^10*t^7.088 + (2*t^7.259)/g1^16 + t^7.282/g1^2 + g1^12*t^7.306 + g1^26*t^7.329 + 2*t^7.5 + 2*g1^14*t^7.523 + (3*t^7.694)/g1^12 + g1^2*t^7.718 + 2*g1^16*t^7.741 + (2*t^7.889)/g1^24 + t^7.912/g1^10 + (2*t^8.13)/g1^8 - 2*g1^6*t^8.153 + g1^20*t^8.176 - (2*t^8.347)/g1^6 + 2*g1^8*t^8.37 + g1^22*t^8.394 + t^8.542/g1^18 + t^8.565/g1^4 + 3*g1^24*t^8.611 + t^8.736/g1^30 + (2*t^8.759)/g1^16 + t^8.782/g1^2 + g1^12*t^8.806 - t^4.282/(g1^2*y) - (g1^4*t^6.435)/y - t^6.63/(g1^8*y) + (g1^10*t^7.088)/y - t^7.477/(g1^14*y) + t^7.5/y + (g1^2*t^7.718)/y + t^7.912/(g1^10*y) + (g1^4*t^7.935)/y + t^8.13/(g1^8*y) + (g1^6*t^8.153)/y + (2*t^8.347)/(g1^6*y) + (g1^8*t^8.37)/y + t^8.542/(g1^18*y) + (2*t^8.565)/(g1^4*y) + t^8.759/(g1^16*y) + t^8.782/(g1^2*y) - t^8.977/(g1^14*y) - (t^4.282*y)/g1^2 - g1^4*t^6.435*y - (t^6.63*y)/g1^8 + g1^10*t^7.088*y - (t^7.477*y)/g1^14 + t^7.5*y + g1^2*t^7.718*y + (t^7.912*y)/g1^10 + g1^4*t^7.935*y + (t^8.13*y)/g1^8 + g1^6*t^8.153*y + (2*t^8.347*y)/g1^6 + g1^8*t^8.37*y + (t^8.542*y)/g1^18 + (2*t^8.565*y)/g1^4 + (t^8.759*y)/g1^16 + (t^8.782*y)/g1^2 - (t^8.977*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|
55636 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.632 | 0.7882 | 0.8018 | [M:[1.0543, 0.7772, 1.1486, 0.7228, 1.0, 0.9257], q:[0.6585, 0.2871], qb:[0.5643, 0.7871], phi:[0.4257]] | t^2.168 + t^2.332 + t^2.554 + t^2.777 + t^3. + t^3.163 + t^3.446 + t^4.054 + t^4.114 + 2*t^4.337 + t^4.5 + 2*t^4.663 + t^4.723 + 2*t^4.946 + 2*t^5.109 + t^5.228 + 3*t^5.332 + t^5.495 + 2*t^5.554 + t^5.614 + t^5.777 + t^5.94 - t^6. - t^4.277/y - t^4.277*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 |
---|---|---|---|---|---|---|---|---|---|
46367 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6912 | 0.864 | 0.8 | [M:[0.9777, 0.9825, 1.1199, 0.6799, 0.6751], q:[0.5799, 0.4425], qb:[0.4376, 0.78], phi:[0.44]] | t^2.025 + t^2.04 + t^2.64 + t^2.933 + t^2.948 + t^3.36 + t^3.653 + t^3.667 + t^3.946 + t^4.05 + t^4.065 + 2*t^4.08 + t^4.372 + t^4.387 + t^4.665 + t^4.68 + t^4.799 + t^4.958 + 2*t^4.973 + t^4.987 + t^5.28 + t^5.385 + t^5.4 + t^5.678 + 2*t^5.693 + t^5.707 + t^5.866 + t^5.881 + t^5.895 + t^5.971 - 2*t^6. - t^4.32/y - t^4.32*y | detail |