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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4697 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6791 | 0.868 | 0.7823 | [M:[1.0787, 0.8657, 1.1343, 0.8102, 1.1898, 0.7592, 0.8657, 0.7037], q:[0.4884, 0.4329], qb:[0.3773, 0.7569], phi:[0.4861]] | [M:[[-38], [14], [-14], [-10], [10], [40], [14], [16]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$, ${ }M_{8}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.111 + t^2.278 + t^2.431 + 2*t^2.597 + t^2.917 + t^3.236 + t^3.569 + t^3.736 + 2*t^4.056 + 2*t^4.222 + 2*t^4.389 + t^4.542 + t^4.555 + 3*t^4.708 + t^4.861 + 2*t^4.875 + 3*t^5.028 + 4*t^5.194 + 2*t^5.347 + 3*t^5.514 + t^5.681 + t^5.833 + 2*t^5.847 - 2*t^6. + t^6.014 + t^6.153 + 2*t^6.167 - t^6.319 + 5*t^6.333 + t^6.472 + t^6.486 + 3*t^6.5 + 5*t^6.653 + 2*t^6.666 - t^6.806 + 5*t^6.819 + t^6.833 + 2*t^6.972 + 5*t^6.986 - t^7.125 + 3*t^7.139 + 2*t^7.153 + 7*t^7.305 + t^7.458 + 4*t^7.472 + 6*t^7.625 + 8*t^7.792 + t^7.944 + 3*t^7.958 + 2*t^8.111 + 3*t^8.125 + t^8.291 - t^8.431 + 7*t^8.444 + t^8.583 - 6*t^8.597 + 7*t^8.611 + t^8.75 + 4*t^8.764 + 4*t^8.778 - 5*t^8.917 + 10*t^8.93 + 2*t^8.944 - t^4.458/y - t^6.569/y - t^6.736/y - t^7.056/y + t^7.222/y - t^7.375/y + t^7.389/y + (2*t^7.542)/y - t^7.695/y + (3*t^7.708)/y + t^7.861/y + (2*t^7.875)/y + (3*t^8.028)/y + t^8.181/y + (2*t^8.194)/y + (3*t^8.347)/y + (3*t^8.514)/y + t^8.667/y + (2*t^8.833)/y + t^8.847/y - t^4.458*y - t^6.569*y - t^6.736*y - t^7.056*y + t^7.222*y - t^7.375*y + t^7.389*y + 2*t^7.542*y - t^7.695*y + 3*t^7.708*y + t^7.861*y + 2*t^7.875*y + 3*t^8.028*y + t^8.181*y + 2*t^8.194*y + 3*t^8.347*y + 3*t^8.514*y + t^8.667*y + 2*t^8.833*y + t^8.847*y | g1^16*t^2.111 + g1^40*t^2.278 + t^2.431/g1^10 + 2*g1^14*t^2.597 + t^2.917/g1^12 + t^3.236/g1^38 + g1^10*t^3.569 + g1^34*t^3.736 + 2*g1^8*t^4.056 + 2*g1^32*t^4.222 + 2*g1^56*t^4.389 + g1^6*t^4.542 + g1^80*t^4.555 + 3*g1^30*t^4.708 + t^4.861/g1^20 + 2*g1^54*t^4.875 + 3*g1^4*t^5.028 + 4*g1^28*t^5.194 + (2*t^5.347)/g1^22 + 3*g1^2*t^5.514 + g1^26*t^5.681 + t^5.833/g1^24 + 2*g1^50*t^5.847 - 2*t^6. + g1^74*t^6.014 + t^6.153/g1^50 + 2*g1^24*t^6.167 - t^6.319/g1^26 + 5*g1^48*t^6.333 + t^6.472/g1^76 + t^6.486/g1^2 + 3*g1^72*t^6.5 + 5*g1^22*t^6.653 + 2*g1^96*t^6.666 - t^6.806/g1^28 + 5*g1^46*t^6.819 + g1^120*t^6.833 + (2*t^6.972)/g1^4 + 5*g1^70*t^6.986 - t^7.125/g1^54 + 3*g1^20*t^7.139 + 2*g1^94*t^7.153 + 7*g1^44*t^7.305 + t^7.458/g1^6 + 4*g1^68*t^7.472 + 6*g1^18*t^7.625 + 8*g1^42*t^7.792 + t^7.944/g1^8 + 3*g1^66*t^7.958 + 2*g1^16*t^8.111 + 3*g1^90*t^8.125 + g1^114*t^8.291 - t^8.431/g1^10 + 7*g1^64*t^8.444 + t^8.583/g1^60 - 6*g1^14*t^8.597 + 7*g1^88*t^8.611 + t^8.75/g1^36 + 4*g1^38*t^8.764 + 4*g1^112*t^8.778 - (5*t^8.917)/g1^12 + 10*g1^62*t^8.93 + 2*g1^136*t^8.944 - t^4.458/(g1^6*y) - (g1^10*t^6.569)/y - (g1^34*t^6.736)/y - (g1^8*t^7.056)/y + (g1^32*t^7.222)/y - t^7.375/(g1^18*y) + (g1^56*t^7.389)/y + (2*g1^6*t^7.542)/y - t^7.695/(g1^44*y) + (3*g1^30*t^7.708)/y + t^7.861/(g1^20*y) + (2*g1^54*t^7.875)/y + (3*g1^4*t^8.028)/y + t^8.181/(g1^46*y) + (2*g1^28*t^8.194)/y + (3*t^8.347)/(g1^22*y) + (3*g1^2*t^8.514)/y + t^8.667/(g1^48*y) + (2*t^8.833)/(g1^24*y) + (g1^50*t^8.847)/y - (t^4.458*y)/g1^6 - g1^10*t^6.569*y - g1^34*t^6.736*y - g1^8*t^7.056*y + g1^32*t^7.222*y - (t^7.375*y)/g1^18 + g1^56*t^7.389*y + 2*g1^6*t^7.542*y - (t^7.695*y)/g1^44 + 3*g1^30*t^7.708*y + (t^7.861*y)/g1^20 + 2*g1^54*t^7.875*y + 3*g1^4*t^8.028*y + (t^8.181*y)/g1^46 + 2*g1^28*t^8.194*y + (3*t^8.347*y)/g1^22 + 3*g1^2*t^8.514*y + (t^8.667*y)/g1^48 + (2*t^8.833*y)/g1^24 + g1^50*t^8.847*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2608 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6586 | 0.8288 | 0.7947 | [M:[1.0747, 0.8672, 1.1328, 0.8091, 1.1909, 0.7635, 0.8672], q:[0.4917, 0.4336], qb:[0.3755, 0.7573], phi:[0.4855]] | t^2.29 + t^2.427 + 2*t^2.602 + t^2.913 + t^3.224 + t^3.573 + t^3.747 + t^3.884 + 2*t^4.058 + t^4.232 + t^4.407 + t^4.581 + t^4.718 + t^4.855 + 2*t^4.892 + 2*t^5.029 + 4*t^5.203 + t^5.34 + 3*t^5.515 + t^5.826 + t^5.863 - 2*t^6. - t^4.456/y - t^4.456*y | detail |