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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6094 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{9}$ | 0.6777 | 0.8685 | 0.7803 | [M:[1.0001, 0.8947, 1.1053, 0.7895, 1.2105, 0.7895, 0.6843, 0.7368, 1.1053], q:[0.5526, 0.4474], qb:[0.3421, 0.7632], phi:[0.4737]] | [M:[[-38], [14], [-14], [-10], [10], [-10], [-34], [16], [-14]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{7}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{9}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{7}M_{9}$, ${ }M_{3}M_{8}$, ${ }M_{8}M_{9}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{9}$, ${ }M_{6}M_{9}$, ${ }\phi_{1}^{4}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{1}^{2}$ | -2 | t^2.053 + t^2.21 + 2*t^2.368 + t^2.842 + t^3. + 2*t^3.316 + t^3.474 + 2*t^4.105 + t^4.106 + t^4.263 + 4*t^4.421 + 2*t^4.579 + 4*t^4.737 + t^4.895 + 2*t^5.053 + 3*t^5.211 + 3*t^5.369 + 2*t^5.526 + t^5.527 + 4*t^5.684 + 3*t^5.842 - 2*t^6. + 4*t^6.158 + 3*t^6.316 + 7*t^6.474 + t^6.631 + 3*t^6.632 + 3*t^6.789 + 4*t^6.79 + 4*t^6.947 + 2*t^6.948 + 5*t^7.105 + t^7.106 + 2*t^7.263 + 4*t^7.421 + 3*t^7.422 + 7*t^7.579 + t^7.58 + 6*t^7.737 - t^7.894 + 6*t^7.895 - t^8.052 + 5*t^8.053 - 2*t^8.21 + 9*t^8.211 - 7*t^8.368 + 5*t^8.369 - t^8.526 + 11*t^8.527 - 3*t^8.684 + 8*t^8.685 + 6*t^8.842 + 6*t^8.843 - t^4.421/y - t^6.474/y - t^6.632/y - t^6.79/y + t^7.105/y + (2*t^7.421)/y + (3*t^7.579)/y + t^7.895/y + (3*t^8.053)/y + (4*t^8.211)/y + t^8.368/y + (4*t^8.369)/y + (2*t^8.526)/y + (4*t^8.684)/y + t^8.842/y - t^4.421*y - t^6.474*y - t^6.632*y - t^6.79*y + t^7.105*y + 2*t^7.421*y + 3*t^7.579*y + t^7.895*y + 3*t^8.053*y + 4*t^8.211*y + t^8.368*y + 4*t^8.369*y + 2*t^8.526*y + 4*t^8.684*y + t^8.842*y | t^2.053/g1^34 + g1^16*t^2.21 + (2*t^2.368)/g1^10 + t^2.842/g1^12 + t^3./g1^38 + (2*t^3.316)/g1^14 + t^3.474/g1^40 + 2*g1^8*t^4.105 + t^4.106/g1^68 + t^4.263/g1^18 + (2*t^4.421)/g1^44 + 2*g1^32*t^4.421 + 2*g1^6*t^4.579 + (3*t^4.737)/g1^20 + g1^56*t^4.737 + t^4.895/g1^46 + t^5.053/g1^72 + g1^4*t^5.053 + (3*t^5.211)/g1^22 + (3*t^5.369)/g1^48 + 2*g1^2*t^5.526 + t^5.527/g1^74 + (4*t^5.684)/g1^24 + (3*t^5.842)/g1^50 - 3*t^6. + t^6./g1^76 + t^6.158/g1^102 + (3*t^6.158)/g1^26 + (4*t^6.316)/g1^52 - g1^24*t^6.316 + (3*t^6.474)/g1^78 + (4*t^6.474)/g1^2 + g1^48*t^6.631 + (3*t^6.632)/g1^28 + 3*g1^22*t^6.789 + (4*t^6.79)/g1^54 + (3*t^6.947)/g1^4 + g1^72*t^6.947 + (2*t^6.948)/g1^80 + (4*t^7.105)/g1^30 + g1^46*t^7.105 + t^7.106/g1^106 + (3*t^7.263)/g1^56 - g1^20*t^7.263 + (4*t^7.421)/g1^6 + (3*t^7.422)/g1^82 + (7*t^7.579)/g1^32 + t^7.58/g1^108 + (5*t^7.737)/g1^58 + g1^18*t^7.737 - g1^68*t^7.894 + (3*t^7.895)/g1^84 + (3*t^7.895)/g1^8 - g1^42*t^8.052 + t^8.053/g1^110 + (4*t^8.053)/g1^34 - 2*g1^16*t^8.21 + t^8.211/g1^136 + (8*t^8.211)/g1^60 - (6*t^8.368)/g1^10 - g1^66*t^8.368 + (5*t^8.369)/g1^86 - g1^40*t^8.526 + (3*t^8.527)/g1^112 + (8*t^8.527)/g1^36 - 3*g1^14*t^8.684 + (8*t^8.685)/g1^62 + (3*t^8.842)/g1^12 + 3*g1^64*t^8.842 + (6*t^8.843)/g1^88 - t^4.421/(g1^6*y) - t^6.474/(g1^40*y) - (g1^10*t^6.632)/y - t^6.79/(g1^16*y) + (g1^8*t^7.105)/y + t^7.421/(g1^44*y) + (g1^32*t^7.421)/y + (3*g1^6*t^7.579)/y + t^7.895/(g1^46*y) + t^8.053/(g1^72*y) + (2*g1^4*t^8.053)/y + (4*t^8.211)/(g1^22*y) + (g1^28*t^8.368)/y + (4*t^8.369)/(g1^48*y) + (2*g1^2*t^8.526)/y + (4*t^8.684)/(g1^24*y) + (2*t^8.842)/(g1^50*y) - (g1^26*t^8.842)/y - (t^4.421*y)/g1^6 - (t^6.474*y)/g1^40 - g1^10*t^6.632*y - (t^6.79*y)/g1^16 + g1^8*t^7.105*y + (t^7.421*y)/g1^44 + g1^32*t^7.421*y + 3*g1^6*t^7.579*y + (t^7.895*y)/g1^46 + (t^8.053*y)/g1^72 + 2*g1^4*t^8.053*y + (4*t^8.211*y)/g1^22 + g1^28*t^8.368*y + (4*t^8.369*y)/g1^48 + 2*g1^2*t^8.526*y + (4*t^8.684*y)/g1^24 + (2*t^8.842*y)/g1^50 - g1^26*t^8.842*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4574 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6875 | 0.884 | 0.7777 | [M:[1.0148, 0.8893, 1.1107, 0.7934, 1.2066, 0.7934, 0.6975, 0.7306], q:[0.5405, 0.4446], qb:[0.3487, 0.762], phi:[0.476]] | t^2.092 + t^2.192 + 2*t^2.38 + t^2.668 + t^2.856 + t^3.045 + t^3.332 + t^3.521 + 2*t^4.096 + t^4.185 + t^4.284 + 2*t^4.384 + 2*t^4.473 + 2*t^4.572 + t^4.671 + 4*t^4.76 + t^4.86 + t^4.949 + 3*t^5.048 + t^5.137 + 3*t^5.236 + t^5.336 + 2*t^5.425 + 2*t^5.524 + t^5.613 + 3*t^5.712 + 3*t^5.901 - 2*t^6. - t^4.428/y - t^4.428*y | detail |