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 |
---|---|---|---|---|---|---|---|---|---|
55147 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.7042 | 0.8689 | 0.8105 | [M:[1.0246, 0.8772, 0.9263, 1.0737, 0.9263, 0.9754], q:[0.5123, 0.4632], qb:[0.6105, 0.4632], phi:[0.4877]] | [M:[[-2], [10], [6], [-6], [6], [2]], q:[[-1], [3]], qb:[[-9], [3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -4 | t^2.632 + 2*t^2.779 + 3*t^2.926 + t^3.221 + 3*t^4.242 + 2*t^4.39 + t^4.537 + 2*t^4.684 + t^4.831 + t^5.126 + t^5.263 + 2*t^5.411 + 4*t^5.558 + 5*t^5.705 + 5*t^5.853 - 4*t^6. - t^6.295 - t^6.442 + 3*t^6.874 + 6*t^7.021 + 11*t^7.169 + 4*t^7.316 + 2*t^7.463 + 2*t^7.61 + t^7.895 + 2*t^8.042 + 2*t^8.052 + 4*t^8.19 - t^8.2 + 6*t^8.337 + t^8.347 + 12*t^8.484 + 6*t^8.632 - t^8.779 - 11*t^8.926 - t^4.463/y - t^7.095/y - t^7.242/y - t^7.39/y + t^7.537/y + t^7.684/y + t^7.831/y + (2*t^8.411)/y + (4*t^8.558)/y + (6*t^8.705)/y + (4*t^8.853)/y - t^4.463*y - t^7.095*y - t^7.242*y - t^7.39*y + t^7.537*y + t^7.684*y + t^7.831*y + 2*t^8.411*y + 4*t^8.558*y + 6*t^8.705*y + 4*t^8.853*y | g1^10*t^2.632 + 2*g1^6*t^2.779 + 3*g1^2*t^2.926 + t^3.221/g1^6 + 3*g1^7*t^4.242 + 2*g1^3*t^4.39 + t^4.537/g1 + (2*t^4.684)/g1^5 + t^4.831/g1^9 + t^5.126/g1^17 + g1^20*t^5.263 + 2*g1^16*t^5.411 + 4*g1^12*t^5.558 + 5*g1^8*t^5.705 + 5*g1^4*t^5.853 - 4*t^6. - t^6.295/g1^8 - t^6.442/g1^12 + 3*g1^17*t^6.874 + 6*g1^13*t^7.021 + 11*g1^9*t^7.169 + 4*g1^5*t^7.316 + 2*g1*t^7.463 + (2*t^7.61)/g1^3 + g1^30*t^7.895 + 2*g1^26*t^8.042 + (2*t^8.052)/g1^15 + 4*g1^22*t^8.19 - t^8.2/g1^19 + 6*g1^18*t^8.337 + t^8.347/g1^23 + 12*g1^14*t^8.484 + 6*g1^10*t^8.632 - g1^6*t^8.779 - 11*g1^2*t^8.926 - (g1*t^4.463)/y - (g1^11*t^7.095)/y - (g1^7*t^7.242)/y - (g1^3*t^7.39)/y + t^7.537/(g1*y) + t^7.684/(g1^5*y) + t^7.831/(g1^9*y) + (2*g1^16*t^8.411)/y + (4*g1^12*t^8.558)/y + (6*g1^8*t^8.705)/y + (4*g1^4*t^8.853)/y - g1*t^4.463*y - g1^11*t^7.095*y - g1^7*t^7.242*y - g1^3*t^7.39*y + (t^7.537*y)/g1 + (t^7.684*y)/g1^5 + (t^7.831*y)/g1^9 + 2*g1^16*t^8.411*y + 4*g1^12*t^8.558*y + 6*g1^8*t^8.705*y + 4*g1^4*t^8.853*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 |
---|---|---|---|---|---|---|---|---|
56815 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7118 | 0.8844 | 0.8049 | [M:[1.0307, 0.8463, 0.9078, 1.0922, 0.9078, 0.9693, 0.9078], q:[0.5154, 0.4539], qb:[0.6383, 0.4539], phi:[0.4846]] | t^2.539 + 3*t^2.723 + 3*t^2.908 + 3*t^4.177 + 2*t^4.362 + t^4.546 + 2*t^4.73 + t^4.915 + t^5.078 + 3*t^5.262 + t^5.284 + 7*t^5.447 + 8*t^5.631 + 4*t^5.816 - 6*t^6. - t^4.454/y - t^4.454*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 |
---|---|---|---|---|---|---|---|---|---|
46900 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.702 | 0.8645 | 0.812 | [M:[1.0223, 0.8883, 0.933, 1.067, 0.933], q:[0.5112, 0.4665], qb:[0.6005, 0.4665], phi:[0.4888]] | t^2.665 + 2*t^2.799 + 2*t^2.933 + t^3.067 + t^3.201 + 3*t^4.265 + 2*t^4.399 + t^4.534 + 2*t^4.668 + t^4.802 + t^5.07 + t^5.33 + 2*t^5.464 + 3*t^5.598 + 4*t^5.732 + 4*t^5.866 - 2*t^6. - t^4.466/y - t^4.466*y | detail |