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 |
---|---|---|---|---|---|---|---|---|---|
3101 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.6392 | 0.7923 | 0.8068 | [X:[1.5504], M:[0.4496, 1.1835, 0.7752, 0.8991, 0.7752, 0.8578, 1.1009], q:[0.7959, 0.7546], qb:[0.4702, 0.3463], phi:[0.4083]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [-14], [24]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.326 + t^2.45 + t^2.573 + 2*t^3.303 + t^3.55 + t^3.798 + t^4.046 + t^4.527 + 4*t^4.651 + t^4.775 + 4*t^4.899 + t^5.023 + 3*t^5.628 + 3*t^5.752 + 3*t^5.876 - 3*t^6. + 2*t^6.124 + t^6.372 + t^6.496 + 3*t^6.605 + t^6.62 + t^6.853 + 5*t^6.977 + 3*t^7.101 + 3*t^7.225 + 3*t^7.349 + 2*t^7.473 + 2*t^7.83 + t^7.844 + 5*t^7.954 + 2*t^8.078 + t^8.092 + 7*t^8.202 - 5*t^8.326 - 4*t^8.573 + 2*t^8.697 + 4*t^8.931 + 2*t^8.945 - t^4.225/y - (2*t^6.55)/y - t^6.798/y + (2*t^7.651)/y + (2*t^7.775)/y + (4*t^7.899)/y + t^8.023/y + (4*t^8.628)/y + (2*t^8.752)/y + t^8.876/y - t^4.225*y - 2*t^6.55*y - t^6.798*y + 2*t^7.651*y + 2*t^7.775*y + 4*t^7.899*y + t^8.023*y + 4*t^8.628*y + 2*t^8.752*y + t^8.876*y | 2*g1^6*t^2.326 + t^2.45/g1^4 + t^2.573/g1^14 + 2*g1^24*t^3.303 + g1^4*t^3.55 + t^3.798/g1^16 + t^4.046/g1^36 + g1^22*t^4.527 + 4*g1^12*t^4.651 + g1^2*t^4.775 + (4*t^4.899)/g1^8 + t^5.023/g1^18 + 3*g1^30*t^5.628 + 3*g1^20*t^5.752 + 3*g1^10*t^5.876 - 3*t^6. + (2*t^6.124)/g1^10 + t^6.372/g1^30 + t^6.496/g1^40 + 3*g1^48*t^6.605 + t^6.62/g1^50 + g1^28*t^6.853 + 5*g1^18*t^6.977 + 3*g1^8*t^7.101 + (3*t^7.225)/g1^2 + (3*t^7.349)/g1^12 + (2*t^7.473)/g1^22 + 2*g1^46*t^7.83 + t^7.844/g1^52 + 5*g1^36*t^7.954 + 2*g1^26*t^8.078 + t^8.092/g1^72 + 7*g1^16*t^8.202 - 5*g1^6*t^8.326 - (4*t^8.573)/g1^14 + (2*t^8.697)/g1^24 + 4*g1^54*t^8.931 + (2*t^8.945)/g1^44 - t^4.225/(g1^2*y) - (2*g1^4*t^6.55)/y - t^6.798/(g1^16*y) + (2*g1^12*t^7.651)/y + (2*g1^2*t^7.775)/y + (4*t^7.899)/(g1^8*y) + t^8.023/(g1^18*y) + (4*g1^30*t^8.628)/y + (2*g1^20*t^8.752)/y + (g1^10*t^8.876)/y - (t^4.225*y)/g1^2 - 2*g1^4*t^6.55*y - (t^6.798*y)/g1^16 + 2*g1^12*t^7.651*y + 2*g1^2*t^7.775*y + (4*t^7.899*y)/g1^8 + (t^8.023*y)/g1^18 + 4*g1^30*t^8.628*y + 2*g1^20*t^8.752*y + g1^10*t^8.876*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 |
---|---|---|---|---|---|---|---|---|
4980 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.659 | 0.8295 | 0.7944 | [X:[1.5449], M:[0.4551, 1.1816, 0.7725, 0.9101, 0.7725, 0.8642, 1.0899, 0.7266], q:[0.7954, 0.7495], qb:[0.478, 0.3403], phi:[0.4092]] | t^2.18 + 2*t^2.317 + t^2.455 + t^2.593 + 2*t^3.27 + t^3.545 + t^4.096 + t^4.359 + 3*t^4.497 + 5*t^4.635 + 2*t^4.772 + 4*t^4.91 + t^5.048 + 2*t^5.449 + 3*t^5.587 + 4*t^5.725 + 3*t^5.862 - 3*t^6. - t^4.228/y - t^4.228*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 |
---|---|---|---|---|---|---|---|---|---|
2034 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6502 | 0.8109 | 0.8018 | [X:[1.5709], M:[0.4291, 1.1903, 0.7855, 0.8582, 0.7855, 0.8339], q:[0.7976, 0.7733], qb:[0.4412, 0.3685], phi:[0.4048]] | 2*t^2.356 + t^2.429 + t^2.502 + t^2.574 + t^3.426 + t^3.571 + t^3.716 + t^3.862 + t^4.64 + 4*t^4.713 + t^4.785 + 4*t^4.858 + 3*t^4.931 + t^5.004 + t^5.076 + t^5.149 + t^5.782 + 2*t^5.855 + 2*t^5.927 - 2*t^6. - t^4.215/y - t^4.215*y | detail |