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 |
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46652 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.5776 | 0.7619 | 0.758 | [M:[1.0501, 0.7495, 0.9499, 0.6753], q:[0.7625, 0.1874], qb:[0.4879, 0.6623], phi:[0.475]] | [M:[[-4], [20], [4], [-14]], q:[[-1], [5]], qb:[[-19], [7]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{2}^{3}\tilde{q}_{1}$ | -1 | 2*t^2.026 + t^2.249 + 2*t^2.549 + 2*t^2.85 + 2*t^3.451 + 3*t^4.052 + 3*t^4.275 + t^4.352 + t^4.497 + 3*t^4.575 + 2*t^4.798 + 5*t^4.876 + 4*t^5.098 + 5*t^5.399 + 3*t^5.477 + 3*t^5.699 - t^6. + 4*t^6.078 + 6*t^6.301 + 2*t^6.378 + t^6.523 + 3*t^6.601 + t^6.746 + 3*t^6.824 + 9*t^6.902 + 2*t^7.046 + 7*t^7.124 + t^7.202 + 4*t^7.347 + 4*t^7.425 + 3*t^7.503 + 7*t^7.648 + 6*t^7.725 + 2*t^7.803 + 7*t^7.948 - 5*t^8.026 + 5*t^8.104 + 2*t^8.249 + 7*t^8.327 + 3*t^8.404 - t^8.549 + 3*t^8.627 + t^8.705 + t^8.772 - 3*t^8.85 + 11*t^8.928 + t^8.995 - t^4.425/y - t^6.451/y - t^6.673/y + t^7.052/y + t^7.275/y + (5*t^7.575)/y + (2*t^7.798)/y + (4*t^7.876)/y + (3*t^8.098)/y + t^8.176/y + (5*t^8.399)/y + (3*t^8.477)/y + (2*t^8.699)/y - t^8.922/y - t^4.425*y - t^6.451*y - t^6.673*y + t^7.052*y + t^7.275*y + 5*t^7.575*y + 2*t^7.798*y + 4*t^7.876*y + 3*t^8.098*y + t^8.176*y + 5*t^8.399*y + 3*t^8.477*y + 2*t^8.699*y - t^8.922*y | (2*t^2.026)/g1^14 + g1^20*t^2.249 + 2*g1^12*t^2.549 + 2*g1^4*t^2.85 + (2*t^3.451)/g1^12 + (3*t^4.052)/g1^28 + 3*g1^6*t^4.275 + t^4.352/g1^36 + g1^40*t^4.497 + (3*t^4.575)/g1^2 + 2*g1^32*t^4.798 + (5*t^4.876)/g1^10 + 4*g1^24*t^5.098 + 5*g1^16*t^5.399 + (3*t^5.477)/g1^26 + 3*g1^8*t^5.699 - t^6. + (4*t^6.078)/g1^42 + (6*t^6.301)/g1^8 + (2*t^6.378)/g1^50 + g1^26*t^6.523 + (3*t^6.601)/g1^16 + g1^60*t^6.746 + 3*g1^18*t^6.824 + (9*t^6.902)/g1^24 + 2*g1^52*t^7.046 + 7*g1^10*t^7.124 + t^7.202/g1^32 + 4*g1^44*t^7.347 + 4*g1^2*t^7.425 + (3*t^7.503)/g1^40 + 7*g1^36*t^7.648 + (6*t^7.725)/g1^6 + (2*t^7.803)/g1^48 + 7*g1^28*t^7.948 - (5*t^8.026)/g1^14 + (5*t^8.104)/g1^56 + 2*g1^20*t^8.249 + (7*t^8.327)/g1^22 + (3*t^8.404)/g1^64 - g1^12*t^8.549 + (3*t^8.627)/g1^30 + t^8.705/g1^72 + g1^46*t^8.772 - 3*g1^4*t^8.85 + (11*t^8.928)/g1^38 + g1^80*t^8.995 - (g1^2*t^4.425)/y - t^6.451/(g1^12*y) - (g1^22*t^6.673)/y + t^7.052/(g1^28*y) + (g1^6*t^7.275)/y + (5*t^7.575)/(g1^2*y) + (2*g1^32*t^7.798)/y + (4*t^7.876)/(g1^10*y) + (3*g1^24*t^8.098)/y + t^8.176/(g1^18*y) + (5*g1^16*t^8.399)/y + (3*t^8.477)/(g1^26*y) + (2*g1^8*t^8.699)/y - (g1^42*t^8.922)/y - g1^2*t^4.425*y - (t^6.451*y)/g1^12 - g1^22*t^6.673*y + (t^7.052*y)/g1^28 + g1^6*t^7.275*y + (5*t^7.575*y)/g1^2 + 2*g1^32*t^7.798*y + (4*t^7.876*y)/g1^10 + 3*g1^24*t^8.098*y + (t^8.176*y)/g1^18 + 5*g1^16*t^8.399*y + (3*t^8.477*y)/g1^26 + 2*g1^8*t^8.699*y - g1^42*t^8.922*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 |
---|---|---|---|---|---|---|---|---|
47112 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.5911 | 0.7853 | 0.7527 | [M:[1.0534, 0.7328, 0.9466, 0.6871, 0.8397], q:[0.7634, 0.1832], qb:[0.5039, 0.6565], phi:[0.4733]] | 2*t^2.061 + t^2.198 + 3*t^2.519 + 2*t^2.84 + t^3.481 + 3*t^4.122 + 3*t^4.259 + t^4.397 + t^4.443 + 5*t^4.58 + 3*t^4.717 + 5*t^4.901 + 7*t^5.038 + 7*t^5.359 + t^5.542 + 2*t^5.679 - 2*t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
46203 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.5568 | 0.7209 | 0.7723 | [M:[1.0504, 0.7481, 0.9496], q:[0.7626, 0.187], qb:[0.4893, 0.6618], phi:[0.4748]] | t^2.029 + t^2.244 + 2*t^2.547 + 2*t^2.849 + 2*t^3.453 + t^3.971 + t^4.058 + 2*t^4.273 + t^4.36 + t^4.489 + t^4.576 + 2*t^4.791 + 3*t^4.878 + 4*t^5.093 + 5*t^5.395 + t^5.482 + 3*t^5.698 - t^4.424/y - t^4.424*y | detail |