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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3961 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ | 0.6717 | 0.85 | 0.7902 | [X:[1.6175, 1.3228], M:[0.8526, 0.6772, 1.1474, 0.3825, 0.7649, 0.7211, 0.7211, 0.8526], q:[0.4044, 0.743], qb:[0.4482, 0.8745], phi:[0.3825]] | [X:[[0, 1], [0, 7]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, -2], [-2, 4], [2, -13], [0, 3]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | 2*t^2.163 + 2*t^2.295 + 2*t^2.558 + 2*t^3.574 + t^3.968 + 3*t^4.326 + 4*t^4.458 + 3*t^4.59 + 4*t^4.721 + 5*t^4.853 + 3*t^5.116 + 3*t^5.737 + 2*t^5.868 - 3*t^6. + 4*t^6.132 + t^6.263 + 4*t^6.49 + 2*t^6.526 + 6*t^6.621 + 6*t^6.753 + 9*t^6.884 + 8*t^7.016 + 8*t^7.147 + 2*t^7.279 + 4*t^7.41 + 3*t^7.674 + 4*t^7.9 + t^7.937 + 2*t^8.032 - 4*t^8.163 - t^8.295 + 2*t^8.426 - 7*t^8.558 + 5*t^8.653 + 4*t^8.689 + 8*t^8.784 + 2*t^8.821 + 9*t^8.916 - t^4.147/y - (2*t^6.311)/y - (2*t^6.442)/y - t^6.705/y + t^7.326/y + (4*t^7.458)/y + (2*t^7.59)/y + (4*t^7.721)/y + (6*t^7.853)/y + (2*t^7.984)/y + t^8.116/y - (3*t^8.474)/y - (4*t^8.605)/y + t^8.737/y + (2*t^8.868)/y - t^4.147*y - 2*t^6.311*y - 2*t^6.442*y - t^6.705*y + t^7.326*y + 4*t^7.458*y + 2*t^7.59*y + 4*t^7.721*y + 6*t^7.853*y + 2*t^7.984*y + t^8.116*y - 3*t^8.474*y - 4*t^8.605*y + t^8.737*y + 2*t^8.868*y | (g1^2*t^2.163)/g2^13 + (g2^4*t^2.163)/g1^2 + (2*t^2.295)/g2^2 + 2*g2^3*t^2.558 + (g1^2*t^3.574)/g2^9 + (g2^8*t^3.574)/g1^2 + g2^7*t^3.968 + (g1^4*t^4.326)/g2^26 + t^4.326/g2^9 + (g2^8*t^4.326)/g1^4 + (2*g1^2*t^4.458)/g2^15 + (2*g2^2*t^4.458)/g1^2 + (3*t^4.59)/g2^4 + (2*g1^2*t^4.721)/g2^10 + (2*g2^7*t^4.721)/g1^2 + 5*g2*t^4.853 + 3*g2^6*t^5.116 + (g1^4*t^5.737)/g2^22 + t^5.737/g2^5 + (g2^12*t^5.737)/g1^4 + (g1^2*t^5.868)/g2^11 + (g2^6*t^5.868)/g1^2 - 3*t^6. + (2*g1^2*t^6.132)/g2^6 + (2*g2^11*t^6.132)/g1^2 + g2^5*t^6.263 + (g1^6*t^6.49)/g2^39 + (g1^2*t^6.49)/g2^22 + t^6.49/(g1^2*g2^5) + (g2^12*t^6.49)/g1^6 + 2*g2^10*t^6.526 + (2*g1^4*t^6.621)/g2^28 + (2*t^6.621)/g2^11 + (2*g2^6*t^6.621)/g1^4 + (3*t^6.753)/g1^2 + (3*g1^2*t^6.753)/g2^17 + (2*g1^4*t^6.884)/g2^23 + (5*t^6.884)/g2^6 + (2*g2^11*t^6.884)/g1^4 + (4*g1^2*t^7.016)/g2^12 + (4*g2^5*t^7.016)/g1^2 + (g1^4*t^7.147)/g2^18 + (6*t^7.147)/g2 + (g2^16*t^7.147)/g1^4 + (g1^2*t^7.279)/g2^7 + (g2^10*t^7.279)/g1^2 + 4*g2^4*t^7.41 + 3*g2^9*t^7.674 + (g1^6*t^7.9)/g2^35 + (g1^2*t^7.9)/g2^18 + t^7.9/(g1^2*g2) + (g2^16*t^7.9)/g1^6 + g2^14*t^7.937 + (g1^4*t^8.032)/g2^24 + (g2^10*t^8.032)/g1^4 - (2*g1^2*t^8.163)/g2^13 - (2*g2^4*t^8.163)/g1^2 + (2*g1^4*t^8.295)/g2^19 - (5*t^8.295)/g2^2 + (2*g2^15*t^8.295)/g1^4 + (g1^2*t^8.426)/g2^8 + (g2^9*t^8.426)/g1^2 - 7*g2^3*t^8.558 + (g1^8*t^8.653)/g2^52 + (g1^4*t^8.653)/g2^35 + t^8.653/g2^18 + t^8.653/(g1^4*g2) + (g2^16*t^8.653)/g1^8 + (2*g1^2*t^8.689)/g2^3 + (2*g2^14*t^8.689)/g1^2 + (2*g1^6*t^8.784)/g2^41 + (2*g1^2*t^8.784)/g2^24 + (2*t^8.784)/(g1^2*g2^7) + (2*g2^10*t^8.784)/g1^6 + 2*g2^8*t^8.821 + (3*g1^4*t^8.916)/g2^30 + (3*t^8.916)/g2^13 + (3*g2^4*t^8.916)/g1^4 - t^4.147/(g2*y) - (g1^2*t^6.311)/(g2^14*y) - (g2^3*t^6.311)/(g1^2*y) - (2*t^6.442)/(g2^3*y) - (g2^2*t^6.705)/y + t^7.326/(g2^9*y) + (2*g1^2*t^7.458)/(g2^15*y) + (2*g2^2*t^7.458)/(g1^2*y) + (2*t^7.59)/(g2^4*y) + (2*g1^2*t^7.721)/(g2^10*y) + (2*g2^7*t^7.721)/(g1^2*y) + (6*g2*t^7.853)/y + (g1^2*t^7.984)/(g2^5*y) + (g2^12*t^7.984)/(g1^2*y) + (g2^6*t^8.116)/y - (g1^4*t^8.474)/(g2^27*y) - t^8.474/(g2^10*y) - (g2^7*t^8.474)/(g1^4*y) - (2*g1^2*t^8.605)/(g2^16*y) - (2*g2*t^8.605)/(g1^2*y) + (g1^4*t^8.737)/(g2^22*y) - t^8.737/(g2^5*y) + (g2^12*t^8.737)/(g1^4*y) + (g1^2*t^8.868)/(g2^11*y) + (g2^6*t^8.868)/(g1^2*y) - (t^4.147*y)/g2 - (g1^2*t^6.311*y)/g2^14 - (g2^3*t^6.311*y)/g1^2 - (2*t^6.442*y)/g2^3 - g2^2*t^6.705*y + (t^7.326*y)/g2^9 + (2*g1^2*t^7.458*y)/g2^15 + (2*g2^2*t^7.458*y)/g1^2 + (2*t^7.59*y)/g2^4 + (2*g1^2*t^7.721*y)/g2^10 + (2*g2^7*t^7.721*y)/g1^2 + 6*g2*t^7.853*y + (g1^2*t^7.984*y)/g2^5 + (g2^12*t^7.984*y)/g1^2 + g2^6*t^8.116*y - (g1^4*t^8.474*y)/g2^27 - (t^8.474*y)/g2^10 - (g2^7*t^8.474*y)/g1^4 - (2*g1^2*t^8.605*y)/g2^16 - (2*g2*t^8.605*y)/g1^2 + (g1^4*t^8.737*y)/g2^22 - (t^8.737*y)/g2^5 + (g2^12*t^8.737*y)/g1^4 + (g1^2*t^8.868*y)/g2^11 + (g2^6*t^8.868*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|---|
3690 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6593 | 0.8299 | 0.7944 | [X:[1.6217, 1.3516], M:[0.865, 0.6484, 1.135, 0.3783, 0.7567, 0.7026, 0.7026], q:[0.4054, 0.7296], qb:[0.4595, 0.892], phi:[0.3783]] | 2*t^2.108 + 2*t^2.27 + t^2.595 + t^3.405 + 2*t^3.568 + t^4.055 + 3*t^4.215 + 4*t^4.378 + 3*t^4.54 + 2*t^4.703 + 3*t^4.865 + t^5.19 + 2*t^5.513 + 5*t^5.675 + 2*t^5.838 - 2*t^6. - t^4.135/y - t^4.135*y | detail |