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 |
---|---|---|---|---|---|---|---|---|---|
3554 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6688 | 0.8425 | 0.7938 | [M:[0.8199, 1.06, 1.1801, 0.6999, 1.06, 1.0498, 0.6999], q:[0.4151, 0.765], qb:[0.4049, 0.5351], phi:[0.47]] | [M:[[-12], [4], [12], [-20], [4], [-30], [-20]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.1 + t^2.46 + t^3.149 + 2*t^3.18 + t^3.51 + t^3.54 + t^3.839 + t^3.87 + 3*t^4.199 + t^4.23 + t^4.261 + 2*t^4.559 + t^4.621 + t^4.92 + 2*t^5.249 + 4*t^5.28 + 2*t^5.609 + 3*t^5.64 + 2*t^5.939 + 2*t^5.969 - 2*t^6. - t^6.031 + 6*t^6.299 + 4*t^6.329 + 2*t^6.36 - t^6.391 + 4*t^6.659 + 2*t^6.69 + 3*t^6.72 + t^6.988 + 4*t^7.019 - t^7.08 + 4*t^7.349 + 8*t^7.379 + t^7.678 + 4*t^7.709 + 5*t^7.739 + 3*t^8.038 + 4*t^8.069 - 3*t^8.1 - 3*t^8.13 + 9*t^8.398 + 7*t^8.429 + 2*t^8.46 - 3*t^8.49 + 7*t^8.759 + 4*t^8.789 + 3*t^8.82 + t^8.881 - t^4.41/y - (2*t^6.51)/y + t^7.199/y + t^7.23/y + t^7.261/y + t^7.559/y - t^7.59/y + (2*t^8.249)/y + (4*t^8.28)/y + (2*t^8.31)/y + (4*t^8.64)/y + (2*t^8.939)/y + (3*t^8.969)/y - t^4.41*y - 2*t^6.51*y + t^7.199*y + t^7.23*y + t^7.261*y + t^7.559*y - t^7.59*y + 2*t^8.249*y + 4*t^8.28*y + 2*t^8.31*y + 4*t^8.64*y + 2*t^8.939*y + 3*t^8.969*y | (2*t^2.1)/g1^20 + t^2.46/g1^12 + t^3.149/g1^30 + 2*g1^4*t^3.18 + t^3.51/g1^22 + g1^12*t^3.54 + t^3.839/g1^48 + t^3.87/g1^14 + (3*t^4.199)/g1^40 + t^4.23/g1^6 + g1^28*t^4.261 + (2*t^4.559)/g1^32 + g1^36*t^4.621 + t^4.92/g1^24 + (2*t^5.249)/g1^50 + (4*t^5.28)/g1^16 + (2*t^5.609)/g1^42 + (3*t^5.64)/g1^8 + (2*t^5.939)/g1^68 + (2*t^5.969)/g1^34 - 2*t^6. - g1^34*t^6.031 + (6*t^6.299)/g1^60 + (4*t^6.329)/g1^26 + 2*g1^8*t^6.36 - g1^42*t^6.391 + (4*t^6.659)/g1^52 + (2*t^6.69)/g1^18 + 3*g1^16*t^6.72 + t^6.988/g1^78 + (4*t^7.019)/g1^44 - g1^24*t^7.08 + (4*t^7.349)/g1^70 + (8*t^7.379)/g1^36 + t^7.678/g1^96 + (4*t^7.709)/g1^62 + (5*t^7.739)/g1^28 + (3*t^8.038)/g1^88 + (4*t^8.069)/g1^54 - (3*t^8.1)/g1^20 - 3*g1^14*t^8.13 + (9*t^8.398)/g1^80 + (7*t^8.429)/g1^46 + (2*t^8.46)/g1^12 - 3*g1^22*t^8.49 + (7*t^8.759)/g1^72 + (4*t^8.789)/g1^38 + (3*t^8.82)/g1^4 + g1^64*t^8.881 - t^4.41/(g1^2*y) - (2*t^6.51)/(g1^22*y) + t^7.199/(g1^40*y) + t^7.23/(g1^6*y) + (g1^28*t^7.261)/y + t^7.559/(g1^32*y) - (g1^2*t^7.59)/y + (2*t^8.249)/(g1^50*y) + (4*t^8.28)/(g1^16*y) + (2*g1^18*t^8.31)/y + (4*t^8.64)/(g1^8*y) + (2*t^8.939)/(g1^68*y) + (3*t^8.969)/(g1^34*y) - (t^4.41*y)/g1^2 - (2*t^6.51*y)/g1^22 + (t^7.199*y)/g1^40 + (t^7.23*y)/g1^6 + g1^28*t^7.261*y + (t^7.559*y)/g1^32 - g1^2*t^7.59*y + (2*t^8.249*y)/g1^50 + (4*t^8.28*y)/g1^16 + 2*g1^18*t^8.31*y + (4*t^8.64*y)/g1^8 + (2*t^8.939*y)/g1^68 + (3*t^8.969*y)/g1^34 |
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 |
---|---|---|---|---|---|---|---|---|
5228 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.6838 | 0.867 | 0.7887 | [M:[0.8278, 1.0574, 1.1722, 0.713, 1.0574, 1.0695, 0.713, 0.8157], q:[0.4078, 0.7643], qb:[0.42, 0.5226], phi:[0.4713]] | 2*t^2.139 + t^2.447 + t^2.483 + 2*t^3.172 + t^3.209 + t^3.517 + t^3.897 + t^3.934 + t^4.205 + t^4.242 + 3*t^4.278 + t^4.55 + 2*t^4.586 + 2*t^4.623 + t^4.894 + t^4.93 + t^4.967 + 4*t^5.311 + 2*t^5.348 + 2*t^5.619 + 4*t^5.656 - 2*t^6. - t^4.414/y - t^4.414*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 |
---|---|---|---|---|---|---|---|---|---|
2961 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6483 | 0.8029 | 0.8074 | [M:[0.8221, 1.0593, 1.1779, 0.7034, 1.0593, 1.0551], q:[0.4131, 0.7648], qb:[0.4089, 0.5317], phi:[0.4703]] | t^2.11 + t^2.466 + t^3.165 + 2*t^3.178 + t^3.521 + t^3.534 + t^3.865 + t^3.877 + t^3.89 + t^4.221 + t^4.233 + t^4.246 + t^4.576 + t^4.602 + t^4.932 + t^5.276 + 2*t^5.288 + t^5.632 + 2*t^5.644 + t^5.975 + t^5.987 - t^6. - t^4.411/y - t^4.411*y | detail |