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 |
---|---|---|---|---|---|---|---|---|---|
5454 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6786 | 0.8216 | 0.8259 | [X:[1.289], M:[0.9924, 0.7263, 1.0076, 0.711, 0.9924, 1.0076, 0.9924, 1.1407], q:[0.5038, 0.5038], qb:[0.4885, 0.7852], phi:[0.4297]] | [X:[[6]], M:[[-14], [22], [14], [-6], [-14], [14], [-14], [-4]], q:[[7], [7]], qb:[[-21], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -5 | t^2.179 + 3*t^2.977 + t^3.422 + 2*t^3.867 + t^4.22 + 2*t^4.266 + 3*t^4.312 + t^4.358 + 3*t^5.156 + t^5.601 + 4*t^5.954 - 5*t^6. + 3*t^6.399 + 3*t^6.491 + t^6.537 + 4*t^6.844 - t^6.89 + 3*t^7.197 + 3*t^7.243 + 5*t^7.289 + t^7.335 + 3*t^7.734 + t^7.78 + 4*t^8.133 - t^8.179 + t^8.44 + 2*t^8.486 + 2*t^8.532 + 5*t^8.578 + 5*t^8.624 + 3*t^8.67 + t^8.716 + 4*t^8.931 - 12*t^8.977 - t^4.289/y - t^6.468/y - t^7.266/y + t^7.312/y + t^8.11/y + (3*t^8.156)/y + t^8.601/y - t^8.647/y + (3*t^8.954)/y - t^4.289*y - t^6.468*y - t^7.266*y + t^7.312*y + t^8.11*y + 3*t^8.156*y + t^8.601*y - t^8.647*y + 3*t^8.954*y | g1^22*t^2.179 + (3*t^2.977)/g1^14 + t^3.422/g1^4 + 2*g1^6*t^3.867 + t^4.22/g1^40 + (2*t^4.266)/g1^12 + 3*g1^16*t^4.312 + g1^44*t^4.358 + 3*g1^8*t^5.156 + g1^18*t^5.601 + (4*t^5.954)/g1^28 - 5*t^6. + (3*t^6.399)/g1^18 + 3*g1^38*t^6.491 + g1^66*t^6.537 + (4*t^6.844)/g1^8 - g1^20*t^6.89 + (3*t^7.197)/g1^54 + (3*t^7.243)/g1^26 + 5*g1^2*t^7.289 + g1^30*t^7.335 + 3*g1^12*t^7.734 + g1^40*t^7.78 + (4*t^8.133)/g1^6 - g1^22*t^8.179 + t^8.44/g1^80 + (2*t^8.486)/g1^52 + (2*t^8.532)/g1^24 + 5*g1^4*t^8.578 + 5*g1^32*t^8.624 + 3*g1^60*t^8.67 + g1^88*t^8.716 + (4*t^8.931)/g1^42 - (12*t^8.977)/g1^14 - (g1^2*t^4.289)/y - (g1^24*t^6.468)/y - t^7.266/(g1^12*y) + (g1^16*t^7.312)/y + t^8.11/(g1^20*y) + (3*g1^8*t^8.156)/y + (g1^18*t^8.601)/y - (g1^46*t^8.647)/y + (3*t^8.954)/(g1^28*y) - g1^2*t^4.289*y - g1^24*t^6.468*y - (t^7.266*y)/g1^12 + g1^16*t^7.312*y + (t^8.11*y)/g1^20 + 3*g1^8*t^8.156*y + g1^18*t^8.601*y - g1^46*t^8.647*y + (3*t^8.954*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 |
---|---|---|---|---|---|---|---|---|
6914 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6989 | 0.8601 | 0.8126 | [X:[1.2897], M:[0.9907, 0.7289, 1.0093, 0.7103, 0.9907, 1.0093, 0.9907, 1.1402, 0.7103], q:[0.5047, 0.5047], qb:[0.486, 0.785], phi:[0.4299]] | t^2.131 + t^2.187 + 3*t^2.972 + t^3.421 + t^3.869 + t^4.206 + 3*t^4.262 + 4*t^4.318 + t^4.373 + 3*t^5.103 + 3*t^5.159 + t^5.551 + t^5.607 + 4*t^5.944 - 4*t^6. - t^4.29/y - t^4.29*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 |