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 |
---|---|---|---|---|---|---|---|---|---|
6557 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6663 | 0.8876 | 0.7506 | [M:[1.0, 1.0278, 0.9444, 1.2569, 0.6875, 0.7431, 0.7431, 0.7708, 0.7153], q:[0.2431, 0.7569], qb:[0.5, 0.5556], phi:[0.4861]] | [M:[[0], [4], [-8], [1], [-9], [-1], [-1], [3], [-5]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{9}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{9}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{9}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{8}M_{9}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{9}q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{9}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{9}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{9}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{9}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{2}M_{3}$ | ${}$ | -2 | t^2.062 + t^2.146 + 2*t^2.229 + t^2.313 + t^2.396 + t^2.833 + t^2.917 + t^3. + t^3.083 + t^4.125 + t^4.208 + 3*t^4.292 + 3*t^4.375 + 6*t^4.458 + 3*t^4.542 + 4*t^4.625 + t^4.708 + 2*t^4.792 + t^4.896 + 2*t^4.979 + 3*t^5.062 + 5*t^5.146 + 4*t^5.229 + 4*t^5.313 + 2*t^5.396 + t^5.479 + t^5.667 + t^5.75 + t^5.833 + t^5.917 - 2*t^6. - t^6.167 + t^6.187 + t^6.271 + 3*t^6.354 + 4*t^6.437 + 7*t^6.521 + 7*t^6.604 + 10*t^6.687 + 6*t^6.771 + 8*t^6.854 + 4*t^6.938 + t^6.958 + 5*t^7.021 + 2*t^7.041 + 2*t^7.104 + 4*t^7.125 + 2*t^7.188 + 7*t^7.208 + 9*t^7.292 + 12*t^7.375 + 10*t^7.458 + 9*t^7.542 + 6*t^7.625 + 5*t^7.708 + t^7.729 + 2*t^7.792 + 2*t^7.812 + t^7.875 + 3*t^7.896 + 4*t^7.979 + t^8.062 - 5*t^8.229 + t^8.25 - 5*t^8.313 + t^8.333 - 6*t^8.396 + 3*t^8.416 - 3*t^8.479 + 5*t^8.5 - 2*t^8.563 + 9*t^8.583 + 10*t^8.667 + 14*t^8.75 + 8*t^8.833 + 12*t^8.917 - t^4.458/y - t^6.521/y - t^6.604/y - t^6.687/y - t^6.771/y + t^7.208/y + t^7.292/y + (3*t^7.375)/y + (3*t^7.458)/y + (3*t^7.542)/y + (3*t^7.625)/y + t^7.708/y + t^7.896/y + (2*t^7.979)/y + (4*t^8.062)/y + (6*t^8.146)/y + (6*t^8.229)/y + (5*t^8.313)/y + (3*t^8.396)/y + t^8.479/y - t^8.583/y - t^8.667/y - t^8.75/y - t^8.833/y - t^4.458*y - t^6.521*y - t^6.604*y - t^6.687*y - t^6.771*y + t^7.208*y + t^7.292*y + 3*t^7.375*y + 3*t^7.458*y + 3*t^7.542*y + 3*t^7.625*y + t^7.708*y + t^7.896*y + 2*t^7.979*y + 4*t^8.062*y + 6*t^8.146*y + 6*t^8.229*y + 5*t^8.313*y + 3*t^8.396*y + t^8.479*y - t^8.583*y - t^8.667*y - t^8.75*y - t^8.833*y | t^2.062/g1^9 + t^2.146/g1^5 + (2*t^2.229)/g1 + g1^3*t^2.313 + g1^7*t^2.396 + t^2.833/g1^8 + t^2.917/g1^4 + t^3. + g1^4*t^3.083 + t^4.125/g1^18 + t^4.208/g1^14 + (3*t^4.292)/g1^10 + (3*t^4.375)/g1^6 + (6*t^4.458)/g1^2 + 3*g1^2*t^4.542 + 4*g1^6*t^4.625 + g1^10*t^4.708 + 2*g1^14*t^4.792 + t^4.896/g1^17 + (2*t^4.979)/g1^13 + (3*t^5.062)/g1^9 + (5*t^5.146)/g1^5 + (4*t^5.229)/g1 + 4*g1^3*t^5.313 + 2*g1^7*t^5.396 + g1^11*t^5.479 + t^5.667/g1^16 + t^5.75/g1^12 + t^5.833/g1^8 + t^5.917/g1^4 - 2*t^6. - g1^8*t^6.167 + t^6.187/g1^27 + t^6.271/g1^23 + (3*t^6.354)/g1^19 + (4*t^6.437)/g1^15 + (7*t^6.521)/g1^11 + (7*t^6.604)/g1^7 + (10*t^6.687)/g1^3 + 6*g1*t^6.771 + 8*g1^5*t^6.854 + 4*g1^9*t^6.938 + t^6.958/g1^26 + 5*g1^13*t^7.021 + (2*t^7.041)/g1^22 + 2*g1^17*t^7.104 + (4*t^7.125)/g1^18 + 2*g1^21*t^7.188 + (7*t^7.208)/g1^14 + (9*t^7.292)/g1^10 + (12*t^7.375)/g1^6 + (10*t^7.458)/g1^2 + 9*g1^2*t^7.542 + 6*g1^6*t^7.625 + 5*g1^10*t^7.708 + t^7.729/g1^25 + 2*g1^14*t^7.792 + (2*t^7.812)/g1^21 + g1^18*t^7.875 + (3*t^7.896)/g1^17 + (4*t^7.979)/g1^13 + t^8.062/g1^9 - (5*t^8.229)/g1 + t^8.25/g1^36 - 5*g1^3*t^8.313 + t^8.333/g1^32 - 6*g1^7*t^8.396 + (3*t^8.416)/g1^28 - 3*g1^11*t^8.479 + (5*t^8.5)/g1^24 - 2*g1^15*t^8.563 + (9*t^8.583)/g1^20 + (10*t^8.667)/g1^16 + (14*t^8.75)/g1^12 + (8*t^8.833)/g1^8 + (12*t^8.917)/g1^4 - t^4.458/(g1^2*y) - t^6.521/(g1^11*y) - t^6.604/(g1^7*y) - t^6.687/(g1^3*y) - (g1*t^6.771)/y + t^7.208/(g1^14*y) + t^7.292/(g1^10*y) + (3*t^7.375)/(g1^6*y) + (3*t^7.458)/(g1^2*y) + (3*g1^2*t^7.542)/y + (3*g1^6*t^7.625)/y + (g1^10*t^7.708)/y + t^7.896/(g1^17*y) + (2*t^7.979)/(g1^13*y) + (4*t^8.062)/(g1^9*y) + (6*t^8.146)/(g1^5*y) + (6*t^8.229)/(g1*y) + (5*g1^3*t^8.313)/y + (3*g1^7*t^8.396)/y + (g1^11*t^8.479)/y - t^8.583/(g1^20*y) - t^8.667/(g1^16*y) - t^8.75/(g1^12*y) - t^8.833/(g1^8*y) - (t^4.458*y)/g1^2 - (t^6.521*y)/g1^11 - (t^6.604*y)/g1^7 - (t^6.687*y)/g1^3 - g1*t^6.771*y + (t^7.208*y)/g1^14 + (t^7.292*y)/g1^10 + (3*t^7.375*y)/g1^6 + (3*t^7.458*y)/g1^2 + 3*g1^2*t^7.542*y + 3*g1^6*t^7.625*y + g1^10*t^7.708*y + (t^7.896*y)/g1^17 + (2*t^7.979*y)/g1^13 + (4*t^8.062*y)/g1^9 + (6*t^8.146*y)/g1^5 + (6*t^8.229*y)/g1 + 5*g1^3*t^8.313*y + 3*g1^7*t^8.396*y + g1^11*t^8.479*y - (t^8.583*y)/g1^20 - (t^8.667*y)/g1^16 - (t^8.75*y)/g1^12 - (t^8.833*y)/g1^8 |
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 |
---|---|---|---|---|---|---|---|---|---|
4960 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6461 | 0.8496 | 0.7605 | [M:[1.0, 1.0247, 0.9507, 1.2562, 0.6945, 0.7438, 0.7438, 0.7685], q:[0.2438, 0.7562], qb:[0.5, 0.5493], phi:[0.4877]] | t^2.084 + 2*t^2.232 + t^2.305 + t^2.379 + t^2.852 + t^2.926 + t^3. + t^3.074 + t^3.842 + t^4.167 + 2*t^4.315 + t^4.389 + 5*t^4.463 + 2*t^4.537 + 4*t^4.611 + t^4.685 + 2*t^4.759 + t^4.936 + t^5.01 + 2*t^5.084 + 4*t^5.158 + 3*t^5.232 + 4*t^5.305 + 2*t^5.379 + t^5.453 + t^5.704 + t^5.778 + t^5.852 + 2*t^5.926 - 2*t^6. - t^4.463/y - t^4.463*y | detail |