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 |
---|---|---|---|---|---|---|---|---|---|
950 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6932 | 0.8486 | 0.8169 | [M:[1.0093, 0.9722, 1.0093, 0.9722, 1.0278], q:[0.5046, 0.4861], qb:[0.4861, 0.5417], phi:[0.4954]] | [M:[[2], [-6], [2], [-6], [6]], q:[[1], [-3]], qb:[[-3], [9]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$ | ${}M_{2}M_{5}$ | -2 | 2*t^2.917 + t^2.972 + 2*t^3.028 + t^3.083 + t^3.139 + 3*t^4.403 + 2*t^4.458 + t^4.514 + 2*t^4.57 + t^4.625 + t^4.737 + t^5.833 + t^5.889 + 3*t^5.944 - 2*t^6. + 3*t^6.056 + 2*t^6.111 + t^6.167 + t^6.223 + t^6.278 + 4*t^7.319 + 4*t^7.375 + 4*t^7.43 + 3*t^7.486 + 3*t^7.542 + 3*t^7.597 + 3*t^7.653 + 2*t^7.709 + 2*t^7.764 + t^7.82 + t^7.876 + t^8.75 + 5*t^8.805 + 4*t^8.861 - 4*t^8.917 + 3*t^8.972 - t^4.486/y - t^7.403/y + t^7.458/y - t^7.514/y + t^7.57/y + t^8.833/y + (2*t^8.889)/y + (4*t^8.944)/y - t^4.486*y - t^7.403*y + t^7.458*y - t^7.514*y + t^7.57*y + t^8.833*y + 2*t^8.889*y + 4*t^8.944*y | (2*t^2.917)/g1^6 + t^2.972/g1^2 + 2*g1^2*t^3.028 + g1^6*t^3.083 + g1^10*t^3.139 + (3*t^4.403)/g1^7 + (2*t^4.458)/g1^3 + g1*t^4.514 + 2*g1^5*t^4.57 + g1^9*t^4.625 + g1^17*t^4.737 + t^5.833/g1^12 + t^5.889/g1^8 + (3*t^5.944)/g1^4 - 2*t^6. + 3*g1^4*t^6.056 + 2*g1^8*t^6.111 + g1^12*t^6.167 + g1^16*t^6.223 + g1^20*t^6.278 + (4*t^7.319)/g1^13 + (4*t^7.375)/g1^9 + (4*t^7.43)/g1^5 + (3*t^7.486)/g1 + 3*g1^3*t^7.542 + 3*g1^7*t^7.597 + 3*g1^11*t^7.653 + 2*g1^15*t^7.709 + 2*g1^19*t^7.764 + g1^23*t^7.82 + g1^27*t^7.876 + t^8.75/g1^18 + (5*t^8.805)/g1^14 + (4*t^8.861)/g1^10 - (4*t^8.917)/g1^6 + (3*t^8.972)/g1^2 - t^4.486/(g1*y) - t^7.403/(g1^7*y) + t^7.458/(g1^3*y) - (g1*t^7.514)/y + (g1^5*t^7.57)/y + t^8.833/(g1^12*y) + (2*t^8.889)/(g1^8*y) + (4*t^8.944)/(g1^4*y) - (t^4.486*y)/g1 - (t^7.403*y)/g1^7 + (t^7.458*y)/g1^3 - g1*t^7.514*y + g1^5*t^7.57*y + (t^8.833*y)/g1^12 + (2*t^8.889*y)/g1^8 + (4*t^8.944*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
1463 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.6967 | 0.8545 | 0.8154 | [M:[1.0162, 0.9514, 1.0162, 0.9514, 1.0486, 0.9514], q:[0.5081, 0.4757], qb:[0.4757, 0.5729], phi:[0.4919]] | 3*t^2.854 + t^2.951 + 2*t^3.049 + t^3.243 + 3*t^4.33 + 2*t^4.427 + t^4.524 + 2*t^4.622 + t^4.719 + t^4.913 + 4*t^5.708 + 2*t^5.806 + 5*t^5.903 - 4*t^6. - t^4.476/y - t^4.476*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 |
---|---|---|---|---|---|---|---|---|---|
599 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7095 | 0.8721 | 0.8136 | [M:[1.0487, 0.8538, 0.8746, 1.0279, 0.9721], q:[0.5244, 0.4269], qb:[0.601, 0.5452], phi:[0.4756]] | t^2.561 + t^2.624 + t^2.854 + t^2.916 + t^3.084 + t^3.146 + t^3.209 + t^3.988 + t^4.281 + t^4.343 + t^4.511 + t^4.573 + t^4.636 + t^4.698 + t^4.803 + t^4.866 + t^5.033 + t^5.123 + t^5.185 + t^5.248 + t^5.415 + t^5.478 + t^5.54 + 2*t^5.708 + 2*t^5.77 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |