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 |
---|---|---|---|---|---|---|---|---|---|
55402 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}^{2}$ | 0.6973 | 0.8552 | 0.8154 | [M:[1.0527, 0.9649, 0.9473, 1.0, 1.0176, 0.9473], q:[0.5, 0.4473], qb:[0.5351, 0.5527], phi:[0.4912]] | [M:[[6], [-4], [-6], [0], [2], [-6]], q:[[0], [-6]], qb:[[4], [6]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.842 + t^2.895 + t^2.947 + t^3. + t^3.053 + t^3.263 + t^4.157 + t^4.316 + t^4.421 + 2*t^4.474 + t^4.579 + t^4.632 + t^4.684 + t^4.737 + t^4.79 + 2*t^5.684 + t^5.737 + 3*t^5.789 + t^5.842 + 3*t^5.895 + t^5.947 - 2*t^6. + t^6.105 - t^6.158 + t^6.211 + t^6.527 + 2*t^6.999 + t^7.052 + t^7.105 + 2*t^7.157 + 2*t^7.263 + 3*t^7.316 + 2*t^7.368 + 3*t^7.421 + t^7.474 + 2*t^7.526 + 2*t^7.579 + 2*t^7.632 + 3*t^7.684 + t^7.737 + t^7.948 + t^8.001 + t^8.053 + t^8.315 + t^8.473 + 2*t^8.526 + t^8.578 + 5*t^8.631 + t^8.684 + 4*t^8.737 + 4*t^8.789 - 2*t^8.842 - t^8.895 - t^4.474/y - t^7.316/y - t^7.368/y + t^7.579/y + t^7.632/y + t^8.684/y + (2*t^8.737)/y + (2*t^8.789)/y + (3*t^8.842)/y + (3*t^8.895)/y + (2*t^8.947)/y - t^4.474*y - t^7.316*y - t^7.368*y + t^7.579*y + t^7.632*y + t^8.684*y + 2*t^8.737*y + 2*t^8.789*y + 3*t^8.842*y + 3*t^8.895*y + 2*t^8.947*y | (2*t^2.842)/g1^6 + t^2.895/g1^4 + t^2.947/g1^2 + t^3. + g1^2*t^3.053 + g1^10*t^3.263 + t^4.157/g1^13 + t^4.316/g1^7 + t^4.421/g1^3 + (2*t^4.474)/g1 + g1^3*t^4.579 + g1^5*t^4.632 + g1^7*t^4.684 + g1^9*t^4.737 + g1^11*t^4.79 + (2*t^5.684)/g1^12 + t^5.737/g1^10 + (3*t^5.789)/g1^8 + t^5.842/g1^6 + (3*t^5.895)/g1^4 + t^5.947/g1^2 - 2*t^6. + g1^4*t^6.105 - g1^6*t^6.158 + g1^8*t^6.211 + g1^20*t^6.527 + (2*t^6.999)/g1^19 + t^7.052/g1^17 + t^7.105/g1^15 + (2*t^7.157)/g1^13 + (2*t^7.263)/g1^9 + (3*t^7.316)/g1^7 + (2*t^7.368)/g1^5 + (3*t^7.421)/g1^3 + t^7.474/g1 + 2*g1*t^7.526 + 2*g1^3*t^7.579 + 2*g1^5*t^7.632 + 3*g1^7*t^7.684 + g1^9*t^7.737 + g1^17*t^7.948 + g1^19*t^8.001 + g1^21*t^8.053 + t^8.315/g1^26 + t^8.473/g1^20 + (2*t^8.526)/g1^18 + t^8.578/g1^16 + (5*t^8.631)/g1^14 + t^8.684/g1^12 + (4*t^8.737)/g1^10 + (4*t^8.789)/g1^8 - (2*t^8.842)/g1^6 - t^8.895/g1^4 - t^4.474/(g1*y) - t^7.316/(g1^7*y) - t^7.368/(g1^5*y) + (g1^3*t^7.579)/y + (g1^5*t^7.632)/y + t^8.684/(g1^12*y) + (2*t^8.737)/(g1^10*y) + (2*t^8.789)/(g1^8*y) + (3*t^8.842)/(g1^6*y) + (3*t^8.895)/(g1^4*y) + (2*t^8.947)/(g1^2*y) - (t^4.474*y)/g1 - (t^7.316*y)/g1^7 - (t^7.368*y)/g1^5 + g1^3*t^7.579*y + g1^5*t^7.632*y + (t^8.684*y)/g1^12 + (2*t^8.737*y)/g1^10 + (2*t^8.789*y)/g1^8 + (3*t^8.842*y)/g1^6 + (3*t^8.895*y)/g1^4 + (2*t^8.947*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
57015 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6958 | 0.8525 | 0.8162 | [M:[1.0454, 0.9698, 0.9546, 1.0, 1.0151, 0.9546, 1.0151], q:[0.5, 0.4546], qb:[0.5302, 0.5454], phi:[0.4924]] | 2*t^2.864 + t^2.909 + t^3. + 2*t^3.045 + t^3.227 + t^4.205 + t^4.341 + t^4.432 + 2*t^4.477 + t^4.568 + t^4.613 + t^4.659 + t^4.704 + t^4.749 + 2*t^5.728 + t^5.773 + t^5.819 + 4*t^5.909 + t^5.955 - 3*t^6. - t^4.477/y - t^4.477*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 |
---|---|---|---|---|---|---|---|---|---|
46990 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6977 | 0.8557 | 0.8153 | [M:[1.0565, 0.984, 0.9435, 0.9784, 1.0188, 0.9435], q:[0.4892, 0.4543], qb:[0.5269, 0.5673], phi:[0.4906]] | 2*t^2.831 + t^2.935 + t^2.944 + t^2.952 + t^3.056 + t^3.282 + t^4.198 + t^4.302 + t^4.407 + t^4.415 + t^4.52 + t^4.537 + t^4.633 + t^4.641 + t^4.754 + t^4.875 + 2*t^5.661 + t^5.766 + 2*t^5.774 + t^5.782 + t^5.87 + 3*t^5.887 + t^5.904 + t^5.992 - 3*t^6. - t^4.472/y - t^4.472*y | detail |