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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3186 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}X_{2}$ | 0.6724 | 0.8509 | 0.7902 | [X:[1.6188, 1.3318], M:[0.7153, 0.8094, 0.3812, 1.1435, 0.8565, 0.6682, 0.8094, 0.7153], q:[0.88, 0.4047], qb:[0.7388, 0.4518], phi:[0.3812]] | [X:[[0, 1], [0, 7]], M:[[2, -10], [-2, 6], [0, -1], [0, -3], [0, 3], [0, -7], [2, -5], [-2, 1]], q:[[-1, 7], [-1, 3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -1 | 2*t^2.146 + t^2.287 + 2*t^2.428 + t^2.569 + t^3.431 + t^3.713 + t^3.995 + 3*t^4.292 + 2*t^4.433 + 5*t^4.574 + 4*t^4.715 + 5*t^4.856 + 2*t^4.998 + t^5.139 + 2*t^5.576 + 2*t^5.859 - t^6. + 2*t^6.141 + t^6.282 + 2*t^6.424 + 4*t^6.437 + t^6.565 + 3*t^6.579 + 8*t^6.72 + 8*t^6.861 + 10*t^7.002 + 7*t^7.144 + 6*t^7.285 + 3*t^7.426 + t^7.708 + 3*t^7.722 + t^7.991 + 3*t^8.005 - 4*t^8.146 + t^8.287 - 6*t^8.428 + t^8.569 + 5*t^8.583 + 4*t^8.724 + 4*t^8.852 + 11*t^8.866 + 2*t^8.993 - t^4.144/y - (2*t^6.289)/y - t^6.431/y - (2*t^6.572)/y + t^7.292/y + (2*t^7.433)/y + (4*t^7.574)/y + (6*t^7.715)/y + (3*t^7.856)/y + (4*t^7.998)/y - (3*t^8.435)/y - (4*t^8.718)/y + (2*t^8.859)/y - t^4.144*y - 2*t^6.289*y - t^6.431*y - 2*t^6.572*y + t^7.292*y + 2*t^7.433*y + 4*t^7.574*y + 6*t^7.715*y + 3*t^7.856*y + 4*t^7.998*y - 3*t^8.435*y - 4*t^8.718*y + 2*t^8.859*y | (g1^2*t^2.146)/g2^10 + (g2*t^2.146)/g1^2 + t^2.287/g2^2 + (g1^2*t^2.428)/g2^5 + (g2^6*t^2.428)/g1^2 + g2^3*t^2.569 + t^3.431/g2^3 + g2^2*t^3.713 + g2^7*t^3.995 + (g1^4*t^4.292)/g2^20 + t^4.292/g2^9 + (g2^2*t^4.292)/g1^4 + (g1^2*t^4.433)/g2^12 + t^4.433/(g1^2*g2) + (g1^4*t^4.574)/g2^15 + (3*t^4.574)/g2^4 + (g2^7*t^4.574)/g1^4 + (2*g1^2*t^4.715)/g2^7 + (2*g2^4*t^4.715)/g1^2 + (g1^4*t^4.856)/g2^10 + 3*g2*t^4.856 + (g2^12*t^4.856)/g1^4 + (g1^2*t^4.998)/g2^2 + (g2^9*t^4.998)/g1^2 + g2^6*t^5.139 + (g1^2*t^5.576)/g2^13 + t^5.576/(g1^2*g2^2) + (g1^2*t^5.859)/g2^8 + (g2^3*t^5.859)/g1^2 - t^6. + (g1^2*t^6.141)/g2^3 + (g2^8*t^6.141)/g1^2 + g2^5*t^6.282 + g1^2*g2^2*t^6.424 + (g2^13*t^6.424)/g1^2 + (g1^6*t^6.437)/g2^30 + (g1^2*t^6.437)/g2^19 + t^6.437/(g1^2*g2^8) + (g2^3*t^6.437)/g1^6 + g2^10*t^6.565 + t^6.579/g1^4 + (g1^4*t^6.579)/g2^22 + t^6.579/g2^11 + (g1^6*t^6.72)/g2^25 + (3*g1^2*t^6.72)/g2^14 + (3*t^6.72)/(g1^2*g2^3) + (g2^8*t^6.72)/g1^6 + (2*g1^4*t^6.861)/g2^17 + (4*t^6.861)/g2^6 + (2*g2^5*t^6.861)/g1^4 + (g1^6*t^7.002)/g2^20 + (4*g1^2*t^7.002)/g2^9 + (4*g2^2*t^7.002)/g1^2 + (g2^13*t^7.002)/g1^6 + (2*g1^4*t^7.144)/g2^12 + (3*t^7.144)/g2 + (2*g2^10*t^7.144)/g1^4 + (g1^6*t^7.285)/g2^15 + (2*g1^2*t^7.285)/g2^4 + (2*g2^7*t^7.285)/g1^2 + (g2^18*t^7.285)/g1^6 + (g1^4*t^7.426)/g2^7 + g2^4*t^7.426 + (g2^15*t^7.426)/g1^4 + g2^9*t^7.708 + (g1^4*t^7.722)/g2^23 + t^7.722/g2^12 + t^7.722/(g1^4*g2) + g2^14*t^7.991 + (g1^4*t^8.005)/g2^18 + t^8.005/g2^7 + (g2^4*t^8.005)/g1^4 - (2*g1^2*t^8.146)/g2^10 - (2*g2*t^8.146)/g1^2 + (g1^4*t^8.287)/g2^13 - t^8.287/g2^2 + (g2^9*t^8.287)/g1^4 - (3*g1^2*t^8.428)/g2^5 - (3*g2^6*t^8.428)/g1^2 + (g1^4*t^8.569)/g2^8 - g2^3*t^8.569 + (g2^14*t^8.569)/g1^4 + (g1^8*t^8.583)/g2^40 + (g1^4*t^8.583)/g2^29 + t^8.583/g2^18 + t^8.583/(g1^4*g2^7) + (g2^4*t^8.583)/g1^8 + (g1^6*t^8.724)/g2^32 + (g1^2*t^8.724)/g2^21 + t^8.724/(g1^2*g2^10) + (g2*t^8.724)/g1^6 + (g1^4*t^8.852)/g2^3 + 2*g2^8*t^8.852 + (g2^19*t^8.852)/g1^4 + (g1^8*t^8.866)/g2^35 + (3*g1^4*t^8.866)/g2^24 + (3*t^8.866)/g2^13 + (3*t^8.866)/(g1^4*g2^2) + (g2^9*t^8.866)/g1^8 + g1^2*g2^5*t^8.993 + (g2^16*t^8.993)/g1^2 - t^4.144/(g2*y) - t^6.289/(g1^2*y) - (g1^2*t^6.289)/(g2^11*y) - t^6.431/(g2^3*y) - (g1^2*t^6.572)/(g2^6*y) - (g2^5*t^6.572)/(g1^2*y) + t^7.292/(g2^9*y) + (g1^2*t^7.433)/(g2^12*y) + t^7.433/(g1^2*g2*y) + (g1^4*t^7.574)/(g2^15*y) + (2*t^7.574)/(g2^4*y) + (g2^7*t^7.574)/(g1^4*y) + (3*g1^2*t^7.715)/(g2^7*y) + (3*g2^4*t^7.715)/(g1^2*y) + (3*g2*t^7.856)/y + (2*g1^2*t^7.998)/(g2^2*y) + (2*g2^9*t^7.998)/(g1^2*y) - (g1^4*t^8.435)/(g2^21*y) - t^8.435/(g2^10*y) - (g2*t^8.435)/(g1^4*y) - (g1^4*t^8.718)/(g2^16*y) - (2*t^8.718)/(g2^5*y) - (g2^6*t^8.718)/(g1^4*y) + (g1^2*t^8.859)/(g2^8*y) + (g2^3*t^8.859)/(g1^2*y) - (t^4.144*y)/g2 - (t^6.289*y)/g1^2 - (g1^2*t^6.289*y)/g2^11 - (t^6.431*y)/g2^3 - (g1^2*t^6.572*y)/g2^6 - (g2^5*t^6.572*y)/g1^2 + (t^7.292*y)/g2^9 + (g1^2*t^7.433*y)/g2^12 + (t^7.433*y)/(g1^2*g2) + (g1^4*t^7.574*y)/g2^15 + (2*t^7.574*y)/g2^4 + (g2^7*t^7.574*y)/g1^4 + (3*g1^2*t^7.715*y)/g2^7 + (3*g2^4*t^7.715*y)/g1^2 + 3*g2*t^7.856*y + (2*g1^2*t^7.998*y)/g2^2 + (2*g2^9*t^7.998*y)/g1^2 - (g1^4*t^8.435*y)/g2^21 - (t^8.435*y)/g2^10 - (g2*t^8.435*y)/g1^4 - (g1^4*t^8.718*y)/g2^16 - (2*t^8.718*y)/g2^5 - (g2^6*t^8.718*y)/g1^4 + (g1^2*t^8.859*y)/g2^8 + (g2^3*t^8.859*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 |
---|---|---|---|---|---|---|---|---|---|
2102 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ | 0.6733 | 0.8548 | 0.7876 | [X:[1.6169], M:[0.7116, 0.8206, 0.3831, 1.1492, 0.8508, 0.6814, 0.7963], q:[0.8781, 0.4103], qb:[0.7389, 0.4405], phi:[0.3831]] | t^2.044 + t^2.135 + t^2.298 + t^2.389 + t^2.462 + t^2.552 + t^3.448 + t^3.702 + t^3.792 + t^4.088 + t^4.179 + t^4.27 + t^4.343 + 2*t^4.433 + t^4.506 + t^4.524 + 3*t^4.597 + 2*t^4.687 + t^4.76 + t^4.778 + 3*t^4.851 + t^4.924 + t^4.941 + t^5.014 + t^5.105 + t^5.492 + t^5.582 + t^5.746 + 2*t^5.836 + t^5.927 - t^6. - t^4.149/y - t^4.149*y | detail |