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 |
---|---|---|---|---|---|---|---|---|---|
3389 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6283 | 0.8228 | 0.7636 | [M:[0.9544, 1.1368, 1.0456, 0.7052, 0.8632, 0.7964], q:[0.7386, 0.307], qb:[0.465, 0.3982], phi:[0.5228]] | [M:[[-4], [12], [4], [18], [-12], [26]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{5}\phi_{1}q_{2}^{2}$ | -1 | 2*t^2.116 + t^2.316 + t^2.389 + t^2.59 + 2*t^3.137 + 2*t^3.41 + t^3.684 + t^3.958 + t^4.158 + 3*t^4.231 + t^4.358 + 2*t^4.432 + 2*t^4.505 + t^4.632 + 3*t^4.705 + t^4.778 + t^4.906 + t^4.979 + t^5.179 + 4*t^5.252 + 2*t^5.453 + 5*t^5.526 + 2*t^5.726 + 3*t^5.8 - t^6. + 3*t^6.073 - t^6.2 + 3*t^6.274 + 5*t^6.347 + t^6.474 + 7*t^6.547 + 3*t^6.621 + t^6.674 + 2*t^6.748 + 7*t^6.821 + 2*t^6.894 + 2*t^6.948 + 5*t^7.094 + t^7.168 + t^7.295 + 8*t^7.368 + 2*t^7.495 + 2*t^7.568 + 9*t^7.642 + 2*t^7.769 + 3*t^7.842 + 7*t^7.915 - t^8.116 + 6*t^8.189 - 2*t^8.316 + 3*t^8.389 + 8*t^8.463 - t^8.59 + 11*t^8.663 + t^8.717 + 5*t^8.736 + 2*t^8.863 + 12*t^8.936 + t^8.99 - t^4.568/y - t^6.684/y - t^6.958/y + t^7.231/y + (3*t^7.432)/y + (2*t^7.505)/y + (2*t^7.705)/y + t^7.906/y + t^7.979/y + t^8.179/y + (4*t^8.252)/y + (3*t^8.453)/y + (6*t^8.526)/y + (4*t^8.726)/y + (3*t^8.8)/y - t^4.568*y - t^6.684*y - t^6.958*y + t^7.231*y + 3*t^7.432*y + 2*t^7.505*y + 2*t^7.705*y + t^7.906*y + t^7.979*y + t^8.179*y + 4*t^8.252*y + 3*t^8.453*y + 6*t^8.526*y + 4*t^8.726*y + 3*t^8.8*y | 2*g1^18*t^2.116 + t^2.316/g1^20 + g1^26*t^2.389 + t^2.59/g1^12 + 2*g1^4*t^3.137 + 2*g1^12*t^3.41 + g1^20*t^3.684 + g1^28*t^3.958 + t^4.158/g1^10 + 3*g1^36*t^4.231 + t^4.358/g1^48 + (2*t^4.432)/g1^2 + 2*g1^44*t^4.505 + t^4.632/g1^40 + 3*g1^6*t^4.705 + g1^52*t^4.778 + t^4.906/g1^32 + g1^14*t^4.979 + t^5.179/g1^24 + 4*g1^22*t^5.252 + (2*t^5.453)/g1^16 + 5*g1^30*t^5.526 + (2*t^5.726)/g1^8 + 3*g1^38*t^5.8 - t^6. + 3*g1^46*t^6.073 - t^6.2/g1^38 + 3*g1^8*t^6.274 + 5*g1^54*t^6.347 + t^6.474/g1^30 + 7*g1^16*t^6.547 + 3*g1^62*t^6.621 + t^6.674/g1^68 + (2*t^6.748)/g1^22 + 7*g1^24*t^6.821 + 2*g1^70*t^6.894 + (2*t^6.948)/g1^60 + 5*g1^32*t^7.094 + g1^78*t^7.168 + t^7.295/g1^6 + 8*g1^40*t^7.368 + (2*t^7.495)/g1^44 + 2*g1^2*t^7.568 + 9*g1^48*t^7.642 + (2*t^7.769)/g1^36 + 3*g1^10*t^7.842 + 7*g1^56*t^7.915 - g1^18*t^8.116 + 6*g1^64*t^8.189 - (2*t^8.316)/g1^20 + 3*g1^26*t^8.389 + 8*g1^72*t^8.463 - t^8.59/g1^12 + 11*g1^34*t^8.663 + t^8.717/g1^96 + 5*g1^80*t^8.736 + (2*t^8.863)/g1^4 + 12*g1^42*t^8.936 + t^8.99/g1^88 - (g1^2*t^4.568)/y - (g1^20*t^6.684)/y - (g1^28*t^6.958)/y + (g1^36*t^7.231)/y + (3*t^7.432)/(g1^2*y) + (2*g1^44*t^7.505)/y + (2*g1^6*t^7.705)/y + t^7.906/(g1^32*y) + (g1^14*t^7.979)/y + t^8.179/(g1^24*y) + (4*g1^22*t^8.252)/y + (3*t^8.453)/(g1^16*y) + (6*g1^30*t^8.526)/y + (4*t^8.726)/(g1^8*y) + (3*g1^38*t^8.8)/y - g1^2*t^4.568*y - g1^20*t^6.684*y - g1^28*t^6.958*y + g1^36*t^7.231*y + (3*t^7.432*y)/g1^2 + 2*g1^44*t^7.505*y + 2*g1^6*t^7.705*y + (t^7.906*y)/g1^32 + g1^14*t^7.979*y + (t^8.179*y)/g1^24 + 4*g1^22*t^8.252*y + (3*t^8.453*y)/g1^16 + 6*g1^30*t^8.526*y + (4*t^8.726*y)/g1^8 + 3*g1^38*t^8.8*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 |
---|---|---|---|---|---|---|---|---|
3868 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6164 | 0.8038 | 0.7669 | [M:[0.9564, 1.1309, 1.0436, 0.6964, 0.8691, 0.7836, 1.1309], q:[0.7391, 0.3045], qb:[0.4773, 0.3918], phi:[0.5218]] | 2*t^2.089 + t^2.345 + t^2.351 + 2*t^3.131 + 3*t^3.393 + t^3.655 + t^3.916 + t^4.173 + 3*t^4.178 + t^4.429 + 2*t^4.435 + 2*t^4.44 + t^4.691 + t^4.696 + t^4.702 + 4*t^5.22 + 2*t^5.476 + 7*t^5.482 + t^5.738 + 4*t^5.744 - 3*t^6. - t^4.565/y - t^4.565*y | detail | |
3869 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6491 | 0.8635 | 0.7517 | [M:[0.954, 1.1379, 1.046, 0.7069, 0.8621, 0.7988, 0.6782], q:[0.7385, 0.3075], qb:[0.4627, 0.3994], phi:[0.523]] | t^2.035 + 2*t^2.121 + t^2.31 + t^2.396 + t^2.586 + 2*t^3.138 + 2*t^3.414 + t^3.69 + t^4.069 + 3*t^4.155 + 3*t^4.241 + 2*t^4.345 + 3*t^4.431 + 2*t^4.517 + 2*t^4.621 + 3*t^4.707 + t^4.793 + t^4.897 + t^4.983 + 3*t^5.173 + 4*t^5.259 + 4*t^5.448 + 5*t^5.534 + 3*t^5.724 + 3*t^5.81 - t^6. - t^4.569/y - t^4.569*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 |
---|---|---|---|---|---|---|---|---|---|
2838 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6123 | 0.7936 | 0.7715 | [M:[0.9508, 1.1475, 1.0492, 0.7212, 0.8525], q:[0.7377, 0.3115], qb:[0.4427, 0.4098], phi:[0.5246]] | 2*t^2.164 + t^2.263 + t^2.558 + 2*t^3.147 + 2*t^3.442 + t^3.541 + t^3.737 + t^4.032 + t^4.131 + t^4.23 + 3*t^4.327 + 2*t^4.426 + t^4.525 + 2*t^4.721 + t^4.82 + t^5.115 + 4*t^5.311 + 2*t^5.41 + 3*t^5.606 + 4*t^5.705 + t^5.804 + t^5.901 - t^6. - t^4.574/y - t^4.574*y | detail |