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 |
---|---|---|---|---|---|---|---|---|---|
55077 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.7132 | 0.878 | 0.8122 | [M:[0.834, 0.8894, 1.0553, 1.0, 1.0, 0.9447], q:[0.583, 0.583], qb:[0.5277, 0.417], phi:[0.4723]] | [M:[[6], [4], [-2], [0], [0], [2]], q:[[-3], [-3]], qb:[[-1], [3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{4}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | -2 | t^2.502 + t^2.668 + 2*t^2.834 + 2*t^3. + t^3.332 + t^3.919 + t^4.251 + 2*t^4.417 + t^4.583 + 2*t^4.749 + 3*t^4.915 + t^5.004 + t^5.17 + 3*t^5.336 + 2*t^5.502 + 4*t^5.668 + 3*t^5.834 - 2*t^6. + t^6.421 - 2*t^6.498 + t^6.587 + t^6.664 + 3*t^6.753 + 3*t^6.919 + 3*t^7.085 + 6*t^7.251 + 4*t^7.417 + t^7.506 + 4*t^7.583 + t^7.672 + 5*t^7.749 + 4*t^7.838 + t^7.915 + 3*t^8.004 - 2*t^8.081 + 5*t^8.17 + t^8.247 + 5*t^8.336 + 2*t^8.502 + 2*t^8.668 - 4*t^8.834 + t^8.923 - t^4.417/y - t^6.919/y - t^7.085/y - t^7.251/y + t^7.583/y + t^7.749/y + t^7.915/y + t^8.17/y + (2*t^8.336)/y + (4*t^8.502)/y + (3*t^8.668)/y + (5*t^8.834)/y - t^4.417*y - t^6.919*y - t^7.085*y - t^7.251*y + t^7.583*y + t^7.749*y + t^7.915*y + t^8.17*y + 2*t^8.336*y + 4*t^8.502*y + 3*t^8.668*y + 5*t^8.834*y | g1^6*t^2.502 + g1^4*t^2.668 + 2*g1^2*t^2.834 + 2*t^3. + t^3.332/g1^4 + g1^7*t^3.919 + g1^3*t^4.251 + 2*g1*t^4.417 + t^4.583/g1 + (2*t^4.749)/g1^3 + (3*t^4.915)/g1^5 + g1^12*t^5.004 + g1^10*t^5.17 + 3*g1^8*t^5.336 + 2*g1^6*t^5.502 + 4*g1^4*t^5.668 + 3*g1^2*t^5.834 - 2*t^6. + g1^13*t^6.421 - (2*t^6.498)/g1^6 + g1^11*t^6.587 + t^6.664/g1^8 + 3*g1^9*t^6.753 + 3*g1^7*t^6.919 + 3*g1^5*t^7.085 + 6*g1^3*t^7.251 + 4*g1*t^7.417 + g1^18*t^7.506 + (4*t^7.583)/g1 + g1^16*t^7.672 + (5*t^7.749)/g1^3 + 4*g1^14*t^7.838 + t^7.915/g1^5 + 3*g1^12*t^8.004 - (2*t^8.081)/g1^7 + 5*g1^10*t^8.17 + t^8.247/g1^9 + 5*g1^8*t^8.336 + 2*g1^6*t^8.502 + 2*g1^4*t^8.668 - 4*g1^2*t^8.834 + g1^19*t^8.923 - (g1*t^4.417)/y - (g1^7*t^6.919)/y - (g1^5*t^7.085)/y - (g1^3*t^7.251)/y + t^7.583/(g1*y) + t^7.749/(g1^3*y) + t^7.915/(g1^5*y) + (g1^10*t^8.17)/y + (2*g1^8*t^8.336)/y + (4*g1^6*t^8.502)/y + (3*g1^4*t^8.668)/y + (5*g1^2*t^8.834)/y - g1*t^4.417*y - g1^7*t^6.919*y - g1^5*t^7.085*y - g1^3*t^7.251*y + (t^7.583*y)/g1 + (t^7.749*y)/g1^3 + (t^7.915*y)/g1^5 + g1^10*t^8.17*y + 2*g1^8*t^8.336*y + 4*g1^6*t^8.502*y + 3*g1^4*t^8.668*y + 5*g1^2*t^8.834*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 |
---|---|---|---|---|---|---|---|---|
56625 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7007 | 0.8557 | 0.8188 | [M:[0.8846, 0.9231, 1.0385, 1.0, 1.0, 0.9615, 1.1154], q:[0.5577, 0.5577], qb:[0.5192, 0.4423], phi:[0.4808]] | t^2.769 + 2*t^2.885 + 2*t^3. + t^3.231 + t^3.346 + t^4.096 + t^4.327 + 2*t^4.442 + t^4.558 + 2*t^4.673 + 3*t^4.789 + t^5.538 + 4*t^5.769 + 2*t^5.885 - 2*t^6. - t^4.442/y - t^4.442*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 |
---|---|---|---|---|---|---|---|---|---|
46848 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7083 | 0.8692 | 0.8149 | [M:[0.8525, 0.9016, 1.0492, 1.0, 1.0], q:[0.5738, 0.5738], qb:[0.5246, 0.4262], phi:[0.4754]] | t^2.557 + t^2.705 + t^2.852 + 2*t^3. + t^3.148 + t^3.295 + t^3.984 + t^4.279 + 2*t^4.426 + t^4.574 + 2*t^4.721 + 3*t^4.869 + t^5.115 + t^5.262 + 2*t^5.41 + t^5.557 + 3*t^5.705 + 2*t^5.852 - t^6. - t^4.426/y - t^4.426*y | detail |