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 |
---|---|---|---|---|---|---|---|---|---|
55437 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.609 | 0.7775 | 0.7832 | [M:[1.0, 0.9148, 0.6967, 1.0426, 0.7393, 1.3033], q:[0.7607, 0.2393], qb:[0.5426, 0.5426], phi:[0.4787]] | [M:[[0], [-8], [-5], [4], [-1], [5]], q:[[1], [-1]], qb:[[4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{4}\phi_{1}^{2}$ | -3 | t^2.218 + 2*t^2.346 + t^2.744 + t^2.872 + t^3. + t^3.128 + t^3.782 + 2*t^3.91 + t^4.436 + 2*t^4.564 + 6*t^4.692 + t^4.962 + t^5.09 + 3*t^5.218 + 3*t^5.346 + 2*t^5.474 + t^5.489 + t^5.617 + 2*t^5.744 + t^5.872 - 3*t^6. + 4*t^6.128 + 4*t^6.256 - t^6.526 + 2*t^6.654 + t^6.782 + 5*t^6.91 + 10*t^7.038 + t^7.18 + t^7.308 + t^7.436 + 5*t^7.564 + 6*t^7.692 + t^7.707 + 6*t^7.82 + t^7.835 + 2*t^7.962 + 3*t^8.09 - 3*t^8.218 + t^8.233 - 6*t^8.346 + t^8.361 + 6*t^8.474 + 2*t^8.489 + 10*t^8.601 + 2*t^8.617 - 2*t^8.744 - 3*t^8.872 - t^4.436/y - t^6.654/y - t^7.18/y + (2*t^7.564)/y + (2*t^7.692)/y + t^7.962/y + (3*t^8.09)/y + (4*t^8.218)/y + (3*t^8.346)/y + (2*t^8.474)/y + t^8.617/y + t^8.744/y + t^8.872/y - t^4.436*y - t^6.654*y - t^7.18*y + 2*t^7.564*y + 2*t^7.692*y + t^7.962*y + 3*t^8.09*y + 4*t^8.218*y + 3*t^8.346*y + 2*t^8.474*y + t^8.617*y + t^8.744*y + t^8.872*y | t^2.218/g1 + 2*g1^3*t^2.346 + t^2.744/g1^8 + t^2.872/g1^4 + t^3. + g1^4*t^3.128 + g1*t^3.782 + 2*g1^5*t^3.91 + t^4.436/g1^2 + 2*g1^2*t^4.564 + 6*g1^6*t^4.692 + t^4.962/g1^9 + t^5.09/g1^5 + (3*t^5.218)/g1 + 3*g1^3*t^5.346 + 2*g1^7*t^5.474 + t^5.489/g1^16 + t^5.617/g1^12 + (2*t^5.744)/g1^8 + t^5.872/g1^4 - 3*t^6. + 4*g1^4*t^6.128 + 4*g1^8*t^6.256 - t^6.526/g1^7 + (2*t^6.654)/g1^3 + g1*t^6.782 + 5*g1^5*t^6.91 + 10*g1^9*t^7.038 + t^7.18/g1^10 + t^7.308/g1^6 + t^7.436/g1^2 + 5*g1^2*t^7.564 + 6*g1^6*t^7.692 + t^7.707/g1^17 + 6*g1^10*t^7.82 + t^7.835/g1^13 + (2*t^7.962)/g1^9 + (3*t^8.09)/g1^5 - (3*t^8.218)/g1 + t^8.233/g1^24 - 6*g1^3*t^8.346 + t^8.361/g1^20 + 6*g1^7*t^8.474 + (2*t^8.489)/g1^16 + 10*g1^11*t^8.601 + (2*t^8.617)/g1^12 - (2*t^8.744)/g1^8 - (3*t^8.872)/g1^4 - t^4.436/(g1^2*y) - t^6.654/(g1^3*y) - t^7.18/(g1^10*y) + (2*g1^2*t^7.564)/y + (2*g1^6*t^7.692)/y + t^7.962/(g1^9*y) + (3*t^8.09)/(g1^5*y) + (4*t^8.218)/(g1*y) + (3*g1^3*t^8.346)/y + (2*g1^7*t^8.474)/y + t^8.617/(g1^12*y) + t^8.744/(g1^8*y) + t^8.872/(g1^4*y) - (t^4.436*y)/g1^2 - (t^6.654*y)/g1^3 - (t^7.18*y)/g1^10 + 2*g1^2*t^7.564*y + 2*g1^6*t^7.692*y + (t^7.962*y)/g1^9 + (3*t^8.09*y)/g1^5 + (4*t^8.218*y)/g1 + 3*g1^3*t^8.346*y + 2*g1^7*t^8.474*y + (t^8.617*y)/g1^12 + (t^8.744*y)/g1^8 + (t^8.872*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 |
---|---|---|---|---|---|---|---|---|
57008 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6139 | 0.7848 | 0.7822 | [M:[1.0, 0.875, 0.6719, 1.0625, 0.7344, 1.3281, 0.9375], q:[0.7656, 0.2344], qb:[0.5625, 0.5625], phi:[0.4688]] | t^2.203 + 2*t^2.391 + t^2.625 + 2*t^2.813 + t^3. + t^3.797 + 2*t^3.984 + t^4.406 + 2*t^4.594 + 6*t^4.781 + t^4.828 + 2*t^5.016 + 5*t^5.203 + t^5.25 + 2*t^5.391 + 2*t^5.438 + 4*t^5.625 + t^5.813 - 4*t^6. - t^4.406/y - t^4.406*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 |
---|---|---|---|---|---|---|---|---|---|
47144 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6296 | 0.8171 | 0.7705 | [M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | t^2.076 + t^2.215 + 2*t^2.354 + t^2.722 + t^2.861 + t^3. + t^3.139 + t^3.785 + t^3.924 + t^4.152 + t^4.291 + 3*t^4.43 + 2*t^4.57 + 6*t^4.709 + t^4.798 + 2*t^4.937 + 2*t^5.076 + 4*t^5.215 + 3*t^5.354 + t^5.443 + 2*t^5.494 + t^5.582 + 2*t^5.722 + 2*t^5.861 - 2*t^6. - t^4.43/y - t^4.43*y | detail |