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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50951 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.604 | 0.7543 | 0.8007 | [X:[1.3797], M:[1.2152, 1.0, 0.7848, 0.6203, 0.7848, 0.8355], q:[0.3101, 0.4746], qb:[0.6899, 0.9051], phi:[0.4051]] | [X:[[4]], M:[[-3], [0], [3], [-4], [3], [-7]], q:[[-2], [5]], qb:[[2], [-1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | 2*t^2.354 + t^2.43 + t^2.507 + t^3. + t^3.076 + t^3.57 + t^4.063 + t^4.139 + 3*t^4.709 + 3*t^4.785 + 3*t^4.861 + t^4.937 + t^5.013 + 2*t^5.354 + 2*t^5.43 + t^5.507 + t^5.583 + t^5.924 - t^6. + t^6.076 + t^6.152 + 2*t^6.417 + 2*t^6.493 + t^6.57 - t^6.722 + 4*t^7.063 + 4*t^7.139 + 4*t^7.215 + 3*t^7.291 + 3*t^7.367 + t^7.444 + t^7.52 + 2*t^7.709 + 2*t^7.785 + 2*t^7.861 + 2*t^7.937 + t^8.013 + t^8.089 + t^8.126 + t^8.202 + t^8.278 - 4*t^8.354 - t^8.43 - t^8.507 + t^8.583 + t^8.659 + 3*t^8.772 + 3*t^8.848 + t^8.924 - t^4.215/y - t^6.57/y - t^6.646/y - t^6.722/y + (2*t^7.709)/y + (3*t^7.785)/y + (3*t^7.861)/y + t^7.937/y + (2*t^8.354)/y + (3*t^8.43)/y + (2*t^8.507)/y + t^8.583/y + t^8.924/y - t^4.215*y - t^6.57*y - t^6.646*y - t^6.722*y + 2*t^7.709*y + 3*t^7.785*y + 3*t^7.861*y + t^7.937*y + 2*t^8.354*y + 3*t^8.43*y + 2*t^8.507*y + t^8.583*y + t^8.924*y | 2*g1^3*t^2.354 + t^2.43/g1^2 + t^2.507/g1^7 + t^3. + t^3.076/g1^5 + g1^2*t^3.57 + g1^9*t^4.063 + g1^4*t^4.139 + 3*g1^6*t^4.709 + 3*g1*t^4.785 + (3*t^4.861)/g1^4 + t^4.937/g1^9 + t^5.013/g1^14 + 2*g1^3*t^5.354 + (2*t^5.43)/g1^2 + t^5.507/g1^7 + t^5.583/g1^12 + g1^5*t^5.924 - t^6. + t^6.076/g1^5 + t^6.152/g1^10 + 2*g1^12*t^6.417 + 2*g1^7*t^6.493 + g1^2*t^6.57 - t^6.722/g1^8 + 4*g1^9*t^7.063 + 4*g1^4*t^7.139 + (4*t^7.215)/g1 + (3*t^7.291)/g1^6 + (3*t^7.367)/g1^11 + t^7.444/g1^16 + t^7.52/g1^21 + 2*g1^6*t^7.709 + 2*g1*t^7.785 + (2*t^7.861)/g1^4 + (2*t^7.937)/g1^9 + t^8.013/g1^14 + t^8.089/g1^19 + g1^18*t^8.126 + g1^13*t^8.202 + g1^8*t^8.278 - 4*g1^3*t^8.354 - t^8.43/g1^2 - t^8.507/g1^7 + t^8.583/g1^12 + t^8.659/g1^17 + 3*g1^15*t^8.772 + 3*g1^10*t^8.848 + g1^5*t^8.924 - t^4.215/(g1*y) - (g1^2*t^6.57)/y - t^6.646/(g1^3*y) - t^6.722/(g1^8*y) + (2*g1^6*t^7.709)/y + (3*g1*t^7.785)/y + (3*t^7.861)/(g1^4*y) + t^7.937/(g1^9*y) + (2*g1^3*t^8.354)/y + (3*t^8.43)/(g1^2*y) + (2*t^8.507)/(g1^7*y) + t^8.583/(g1^12*y) + (g1^5*t^8.924)/y - (t^4.215*y)/g1 - g1^2*t^6.57*y - (t^6.646*y)/g1^3 - (t^6.722*y)/g1^8 + 2*g1^6*t^7.709*y + 3*g1*t^7.785*y + (3*t^7.861*y)/g1^4 + (t^7.937*y)/g1^9 + 2*g1^3*t^8.354*y + (3*t^8.43*y)/g1^2 + (2*t^8.507*y)/g1^7 + (t^8.583*y)/g1^12 + g1^5*t^8.924*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 |
---|---|---|---|---|---|---|---|---|
56103 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6078 | 0.7619 | 0.7977 | [X:[1.3562], M:[1.2328, 1.0, 0.7672, 0.6438, 0.7672, 0.8766, 0.9453], q:[0.3219, 0.4453], qb:[0.6781, 0.9109], phi:[0.4109]] | 2*t^2.301 + t^2.466 + t^2.63 + t^2.836 + t^3. + t^3.534 + t^3.904 + t^4.069 + 3*t^4.603 + 3*t^4.767 + 3*t^4.931 + t^5.096 + 2*t^5.137 + t^5.26 + 3*t^5.301 + t^5.466 + t^5.672 + 2*t^5.836 - t^6. - t^4.233/y - t^4.233*y | detail | |
56100 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5882 | 0.727 | 0.8091 | [X:[1.3731], M:[1.2202, 1.0, 0.7798, 0.6269, 0.7798, 0.8471, 1.1865], q:[0.3135, 0.4664], qb:[0.6865, 0.9067], phi:[0.4067]] | 2*t^2.339 + t^2.541 + t^3. + t^3.101 + 2*t^3.56 + t^4.018 + t^4.119 + 3*t^4.679 + t^4.78 + 2*t^4.881 + t^5.083 + 2*t^5.339 + t^5.44 + t^5.642 + 3*t^5.899 - 2*t^6. - t^4.22/y - t^4.22*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 |
---|---|---|---|---|---|---|---|---|---|
48209 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{1}M_{5}$ | 0.5917 | 0.7355 | 0.8045 | [X:[1.3497], M:[1.2377, 1.0, 0.7623, 0.6503, 0.7623], q:[0.3252, 0.4371], qb:[0.6748, 0.9126], phi:[0.4126]] | 2*t^2.287 + t^2.475 + t^3. + t^3.189 + t^3.336 + t^3.525 + t^3.86 + t^4.049 + 3*t^4.574 + 3*t^4.762 + t^4.951 + 2*t^5.287 + 2*t^5.475 + 2*t^5.623 + 2*t^5.811 - t^6. - t^4.238/y - t^4.238*y | detail |