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 |
---|---|---|---|---|---|---|---|---|---|
5453 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6711 | 0.8065 | 0.8322 | [X:[1.2913], M:[0.987, 0.7348, 1.013, 0.7087, 0.987, 1.013, 0.987, 1.2652], q:[0.5065, 0.5065], qb:[0.4805, 0.7848], phi:[0.4304]] | [X:[[6]], M:[[-14], [22], [14], [-6], [-14], [14], [-14], [-22]], q:[[7], [7]], qb:[[-21], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -5 | t^2.583 + 3*t^2.961 + t^3.796 + 2*t^3.874 + t^4.174 + 2*t^4.252 + 3*t^4.33 + t^5.165 + 3*t^5.544 + 4*t^5.922 - 5*t^6. - 2*t^6.078 + 4*t^6.757 + 5*t^6.835 + 2*t^6.913 + 3*t^7.135 + 3*t^7.213 + 3*t^7.291 - 2*t^7.369 + t^7.748 + t^7.97 + 2*t^8.048 + 6*t^8.126 + 4*t^8.204 + t^8.348 + 2*t^8.426 + 6*t^8.504 - 3*t^8.583 + 3*t^8.661 + 4*t^8.883 - 12*t^8.961 - t^4.291/y - t^6.874/y - t^7.252/y + t^7.33/y + t^7.709/y + (3*t^8.544)/y + (3*t^8.922)/y - t^4.291*y - t^6.874*y - t^7.252*y + t^7.33*y + t^7.709*y + 3*t^8.544*y + 3*t^8.922*y | g1^4*t^2.583 + (3*t^2.961)/g1^14 + t^3.796/g1^22 + 2*g1^6*t^3.874 + t^4.174/g1^40 + (2*t^4.252)/g1^12 + 3*g1^16*t^4.33 + g1^8*t^5.165 + (3*t^5.544)/g1^10 + (4*t^5.922)/g1^28 - 5*t^6. - 2*g1^28*t^6.078 + (4*t^6.757)/g1^36 + (5*t^6.835)/g1^8 + 2*g1^20*t^6.913 + (3*t^7.135)/g1^54 + (3*t^7.213)/g1^26 + 3*g1^2*t^7.291 - 2*g1^30*t^7.369 + g1^12*t^7.748 + t^7.97/g1^62 + (2*t^8.048)/g1^34 + (6*t^8.126)/g1^6 + 4*g1^22*t^8.204 + t^8.348/g1^80 + (2*t^8.426)/g1^52 + (6*t^8.504)/g1^24 - 3*g1^4*t^8.583 + 3*g1^32*t^8.661 + (4*t^8.883)/g1^42 - (12*t^8.961)/g1^14 - (g1^2*t^4.291)/y - (g1^6*t^6.874)/y - t^7.252/(g1^12*y) + (g1^16*t^7.33)/y + t^7.709/(g1^2*y) + (3*t^8.544)/(g1^10*y) + (3*t^8.922)/(g1^28*y) - g1^2*t^4.291*y - g1^6*t^6.874*y - (t^7.252*y)/g1^12 + g1^16*t^7.33*y + (t^7.709*y)/g1^2 + (3*t^8.544*y)/g1^10 + (3*t^8.922*y)/g1^28 |
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 |
---|---|---|---|---|---|---|---|---|
6912 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6589 | 0.7861 | 0.8382 | [X:[1.2932], M:[0.9824, 0.7419, 1.0176, 0.7068, 0.9824, 1.0176, 0.9824, 1.2581, 1.1378], q:[0.5088, 0.5088], qb:[0.4736, 0.7845], phi:[0.4311]] | 3*t^2.947 + t^3.414 + t^3.774 + 2*t^3.88 + t^4.135 + 2*t^4.241 + 3*t^4.346 + 4*t^5.895 - 5*t^6. - t^4.293/y - t^4.293*y | detail | |
6913 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6915 | 0.8453 | 0.8181 | [X:[1.2921], M:[0.9851, 0.7378, 1.0149, 0.7079, 0.9851, 1.0149, 0.9851, 1.2622, 0.7079], q:[0.5075, 0.5075], qb:[0.4776, 0.7846], phi:[0.4307]] | t^2.124 + t^2.584 + 3*t^2.955 + t^3.787 + t^3.876 + t^4.158 + 3*t^4.247 + 3*t^4.337 + t^4.708 + 3*t^5.079 + t^5.168 + 3*t^5.539 + 5*t^5.91 - 4*t^6. - t^4.292/y - t^4.292*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 |
---|---|---|---|---|---|---|---|---|---|
3861 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{7}$ | 0.691 | 0.8428 | 0.8199 | [X:[1.2874], M:[0.9961, 0.7205, 1.0039, 0.7126, 0.9961, 1.0039, 0.9961], q:[0.502, 0.502], qb:[0.4941, 0.7854], phi:[0.4291]] | t^2.161 + t^2.575 + 3*t^2.988 + 2*t^3.862 + t^4.252 + 2*t^4.276 + 3*t^4.299 + t^4.323 + t^4.736 + 4*t^5.15 + 3*t^5.563 + 4*t^5.976 - 5*t^6. - t^4.287/y - t^4.287*y | detail |