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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45427 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{2}^{2}$ | 1.8005 | 1.9167 | 0.9394 | [X:[], M:[0.8582, 1.1418, 0.8582, 1.0691, 0.9964], q:[0.4291, 0.5018], qb:[], phi:[0.3564]] | [X:[], M:[[4], [-4], [4], [-9], [-14]], q:[[2], [7]], qb:[], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}q_{2}$, ${ }M_{5}^{2}$ | ${2}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.14 + 2*t^2.57 + t^2.99 + t^3.21 + t^3.64 + t^3.86 + 2*t^4.28 + 3*t^4.71 + t^4.93 + t^5.13 + 4*t^5.15 + t^5.35 + 2*t^5.56 + 2*t^5.78 + t^5.98 + t^6.2 + t^6.22 + 3*t^6.41 + 2*t^6.44 + 5*t^6.85 + t^7.07 + 2*t^7.27 + 6*t^7.29 + 2*t^7.48 + 3*t^7.51 + 3*t^7.7 + 6*t^7.72 + 4*t^7.92 + t^8.12 + 5*t^8.14 + t^8.33 + 2*t^8.36 + 6*t^8.55 + t^8.77 + 2*t^8.79 + t^8.97 + 5*t^8.99 - t^4.07/y - t^5.36/y - t^5.57/y - (2*t^6.21)/y - (2*t^6.64)/y - t^7.06/y - t^7.28/y - t^7.49/y - (2*t^7.93)/y + t^8.13/y - t^8.15/y - (3*t^8.35)/y + t^8.56/y - t^8.78/y - t^4.07*y - t^5.36*y - t^5.57*y - 2*t^6.21*y - 2*t^6.64*y - t^7.06*y - t^7.28*y - t^7.49*y - 2*t^7.93*y + t^8.13*y - t^8.15*y - 3*t^8.35*y + t^8.56*y - t^8.78*y | t^2.14/g1^6 + 2*g1^4*t^2.57 + t^2.99/g1^14 + t^3.21/g1^9 + g1*t^3.64 + g1^6*t^3.86 + (2*t^4.28)/g1^12 + (3*t^4.71)/g1^2 + g1^3*t^4.93 + t^5.13/g1^20 + 4*g1^8*t^5.15 + t^5.35/g1^15 + (2*t^5.56)/g1^10 + (2*t^5.78)/g1^5 + t^5.98/g1^28 + t^6.2/g1^23 + g1^5*t^6.22 + (3*t^6.41)/g1^18 + 2*g1^10*t^6.44 + (5*t^6.85)/g1^8 + t^7.07/g1^3 + (2*t^7.27)/g1^26 + 6*g1^2*t^7.29 + (2*t^7.48)/g1^21 + 3*g1^7*t^7.51 + (3*t^7.7)/g1^16 + 6*g1^12*t^7.72 + (4*t^7.92)/g1^11 + t^8.12/g1^34 + (5*t^8.14)/g1^6 + t^8.33/g1^29 + (2*t^8.36)/g1 + (6*t^8.55)/g1^24 + t^8.77/g1^19 + 2*g1^9*t^8.79 + t^8.97/g1^42 + (5*t^8.99)/g1^14 - t^4.07/(g1^3*y) - t^5.36/(g1*y) - (g1^4*t^5.57)/y - (2*t^6.21)/(g1^9*y) - (2*g1*t^6.64)/y - t^7.06/(g1^17*y) - t^7.28/(g1^12*y) - t^7.49/(g1^7*y) - (2*g1^3*t^7.93)/y + t^8.13/(g1^20*y) - (g1^8*t^8.15)/y - (3*t^8.35)/(g1^15*y) + t^8.56/(g1^10*y) - t^8.78/(g1^5*y) - (t^4.07*y)/g1^3 - (t^5.36*y)/g1 - g1^4*t^5.57*y - (2*t^6.21*y)/g1^9 - 2*g1*t^6.64*y - (t^7.06*y)/g1^17 - (t^7.28*y)/g1^12 - (t^7.49*y)/g1^7 - 2*g1^3*t^7.93*y + (t^8.13*y)/g1^20 - g1^8*t^8.15*y - (3*t^8.35*y)/g1^15 + (t^8.56*y)/g1^10 - (t^8.78*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
45568 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 1.7803 | 1.8785 | 0.9477 | [X:[], M:[0.8563, 1.1437, 0.8563, 1.0734, 1.0031, 1.2844], q:[0.4281, 0.4984], qb:[], phi:[0.3578]] | 2*t^2.57 + t^3.01 + t^3.22 + t^3.64 + 2*t^3.85 + t^4.29 + t^4.72 + t^4.93 + 4*t^5.14 + 2*t^5.58 + t^5.79 - t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*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 |
---|---|---|---|---|---|---|---|---|---|
45333 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ | 1.8029 | 1.9214 | 0.9383 | [X:[], M:[0.8418, 1.1582, 0.8418, 1.106], q:[0.4209, 0.4731], qb:[], phi:[0.3687]] | t^2.21 + 2*t^2.53 + t^2.84 + t^3.32 + t^3.63 + t^3.79 + 2*t^4.42 + 3*t^4.74 + t^4.89 + 5*t^5.05 + 2*t^5.36 + t^5.53 + t^5.68 + 2*t^5.84 - t^4.11/y - t^5.37/y - t^5.53/y - t^4.11*y - t^5.37*y - t^5.53*y | detail |