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 |
---|---|---|---|---|---|---|---|---|---|
55517 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}M_{6}$ | 0.6937 | 0.8507 | 0.8155 | [M:[0.9648, 1.007, 1.0352, 0.9789, 1.0211, 0.9648], q:[0.4894, 0.5458], qb:[0.5035, 0.4754], phi:[0.4965]] | [M:[[10], [-2], [-10], [6], [-6], [10]], q:[[3], [-13]], qb:[[-1], [7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$ | ${}$ | -2 | 2*t^2.894 + t^2.937 + t^2.979 + t^3.021 + t^3.063 + t^3.148 + t^4.342 + t^4.384 + 2*t^4.426 + t^4.468 + t^4.511 + t^4.553 + t^4.595 + t^4.637 + t^4.764 + 2*t^5.789 + t^5.831 + 2*t^5.873 + 2*t^5.915 + 2*t^5.958 - 2*t^6. + t^6.042 + t^6.085 + t^6.127 + t^6.296 + 2*t^7.236 + 2*t^7.278 + 4*t^7.32 + 3*t^7.363 + 4*t^7.405 + 2*t^7.447 + 2*t^7.489 + t^7.532 + 2*t^7.574 + t^7.616 + 2*t^7.658 + t^7.701 + t^7.743 + t^7.785 + t^7.827 + t^7.912 + 3*t^8.683 + 2*t^8.725 + 4*t^8.768 + 3*t^8.81 + 4*t^8.852 - 2*t^8.894 - t^8.979 - t^4.489/y - t^7.384/y + t^7.595/y + t^8.789/y + (2*t^8.831)/y + (2*t^8.873)/y + (3*t^8.915)/y + (3*t^8.958)/y - t^4.489*y - t^7.384*y + t^7.595*y + t^8.789*y + 2*t^8.831*y + 2*t^8.873*y + 3*t^8.915*y + 3*t^8.958*y | 2*g1^10*t^2.894 + g1^6*t^2.937 + g1^2*t^2.979 + t^3.021/g1^2 + t^3.063/g1^6 + t^3.148/g1^14 + g1^15*t^4.342 + g1^11*t^4.384 + 2*g1^7*t^4.426 + g1^3*t^4.468 + t^4.511/g1 + t^4.553/g1^5 + t^4.595/g1^9 + t^4.637/g1^13 + t^4.764/g1^25 + 2*g1^20*t^5.789 + g1^16*t^5.831 + 2*g1^12*t^5.873 + 2*g1^8*t^5.915 + 2*g1^4*t^5.958 - 2*t^6. + t^6.042/g1^4 + t^6.085/g1^8 + t^6.127/g1^12 + t^6.296/g1^28 + 2*g1^25*t^7.236 + 2*g1^21*t^7.278 + 4*g1^17*t^7.32 + 3*g1^13*t^7.363 + 4*g1^9*t^7.405 + 2*g1^5*t^7.447 + 2*g1*t^7.489 + t^7.532/g1^3 + (2*t^7.574)/g1^7 + t^7.616/g1^11 + (2*t^7.658)/g1^15 + t^7.701/g1^19 + t^7.743/g1^23 + t^7.785/g1^27 + t^7.827/g1^31 + t^7.912/g1^39 + 3*g1^30*t^8.683 + 2*g1^26*t^8.725 + 4*g1^22*t^8.768 + 3*g1^18*t^8.81 + 4*g1^14*t^8.852 - 2*g1^10*t^8.894 - g1^2*t^8.979 - (g1*t^4.489)/y - (g1^11*t^7.384)/y + t^7.595/(g1^9*y) + (g1^20*t^8.789)/y + (2*g1^16*t^8.831)/y + (2*g1^12*t^8.873)/y + (3*g1^8*t^8.915)/y + (3*g1^4*t^8.958)/y - g1*t^4.489*y - g1^11*t^7.384*y + (t^7.595*y)/g1^9 + g1^20*t^8.789*y + 2*g1^16*t^8.831*y + 2*g1^12*t^8.873*y + 3*g1^8*t^8.915*y + 3*g1^4*t^8.958*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 |
---|---|---|---|---|---|---|---|---|
57097 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6931 | 0.8496 | 0.8159 | [M:[0.9698, 1.006, 1.0302, 0.9819, 1.0181, 0.9698, 1.006], q:[0.4909, 0.5392], qb:[0.503, 0.4789], phi:[0.497]] | 2*t^2.909 + t^2.946 + 2*t^3.018 + t^3.054 + t^3.127 + t^4.364 + t^4.4 + 2*t^4.437 + t^4.473 + t^4.509 + t^4.545 + t^4.581 + t^4.618 + t^4.726 + 2*t^5.819 + t^5.855 + 3*t^5.928 + 2*t^5.964 - 3*t^6. - t^4.491/y - t^4.491*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 |
---|---|---|---|---|---|---|---|---|---|
47272 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.6916 | 0.8474 | 0.8161 | [M:[0.9896, 1.0021, 1.0104, 0.9938, 1.0062], q:[0.4969, 0.5135], qb:[0.501, 0.4927], phi:[0.499]] | t^2.969 + t^2.981 + t^2.994 + t^3.006 + t^3.019 + t^3.031 + t^3.044 + t^4.453 + t^4.466 + 2*t^4.478 + t^4.491 + t^4.503 + t^4.516 + t^4.528 + t^4.54 + t^4.578 + t^5.963 + t^5.975 + t^5.988 - t^6. - t^4.497/y - t^4.497*y | detail |