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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2730 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.5923 | 0.7564 | 0.783 | [M:[0.9496, 1.1513, 1.0504, 0.8487], q:[0.7374, 0.313], qb:[0.4139, 0.4348], phi:[0.5252]] | [M:[[4], [-12], [-4], [12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{2}M_{4}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.181 + t^2.243 + t^2.546 + 2*t^3.151 + 2*t^3.454 + t^3.516 + t^3.757 + t^3.819 + t^4.059 + t^4.122 + t^4.184 + t^4.362 + t^4.424 + t^4.487 + t^4.727 + t^4.789 + t^5.092 + 2*t^5.332 + 2*t^5.395 + t^5.635 + 3*t^5.697 + t^5.76 + t^6.062 + t^6.24 + 2*t^6.303 + t^6.365 + t^6.428 + t^6.543 + 4*t^6.605 + 2*t^6.668 + 2*t^6.73 + 3*t^6.908 + 2*t^6.97 + t^7.033 + 2*t^7.211 + 2*t^7.273 + 3*t^7.335 + 3*t^7.513 + t^7.576 + 4*t^7.638 + t^7.701 + 2*t^7.816 + t^7.878 + 2*t^7.941 + 2*t^8.003 + t^8.118 - t^8.181 + t^8.243 + 2*t^8.306 + t^8.368 + t^8.421 + t^8.484 + t^8.609 + t^8.671 + t^8.724 + 2*t^8.786 + 2*t^8.849 + 2*t^8.911 + 2*t^8.974 - t^4.576/y + (2*t^7.424)/y + t^7.789/y + (2*t^8.332)/y + (2*t^8.395)/y + (2*t^8.635)/y + (5*t^8.697)/y + t^8.76/y + t^8.938/y - t^4.576*y + 2*t^7.424*y + t^7.789*y + 2*t^8.332*y + 2*t^8.395*y + 2*t^8.635*y + 5*t^8.697*y + t^8.76*y + t^8.938*y | t^2.181/g1^18 + g1^20*t^2.243 + g1^12*t^2.546 + (2*t^3.151)/g1^4 + (2*t^3.454)/g1^12 + g1^26*t^3.516 + t^3.757/g1^20 + g1^18*t^3.819 + t^4.059/g1^28 + g1^10*t^4.122 + g1^48*t^4.184 + t^4.362/g1^36 + g1^2*t^4.424 + g1^40*t^4.487 + t^4.727/g1^6 + g1^32*t^4.789 + g1^24*t^5.092 + (2*t^5.332)/g1^22 + 2*g1^16*t^5.395 + t^5.635/g1^30 + 3*g1^8*t^5.697 + g1^46*t^5.76 + g1^38*t^6.062 + t^6.24/g1^46 + (2*t^6.303)/g1^8 + g1^30*t^6.365 + g1^68*t^6.428 + t^6.543/g1^54 + (4*t^6.605)/g1^16 + 2*g1^22*t^6.668 + 2*g1^60*t^6.73 + (3*t^6.908)/g1^24 + 2*g1^14*t^6.97 + g1^52*t^7.033 + (2*t^7.211)/g1^32 + 2*g1^6*t^7.273 + 3*g1^44*t^7.335 + (3*t^7.513)/g1^40 + t^7.576/g1^2 + 4*g1^36*t^7.638 + g1^74*t^7.701 + (2*t^7.816)/g1^48 + t^7.878/g1^10 + 2*g1^28*t^7.941 + 2*g1^66*t^8.003 + t^8.118/g1^56 - t^8.181/g1^18 + g1^20*t^8.243 + 2*g1^58*t^8.306 + g1^96*t^8.368 + t^8.421/g1^64 + t^8.484/g1^26 + g1^50*t^8.609 + g1^88*t^8.671 + t^8.724/g1^72 + (2*t^8.786)/g1^34 + 2*g1^4*t^8.849 + 2*g1^42*t^8.911 + 2*g1^80*t^8.974 - t^4.576/(g1^2*y) + (2*g1^2*t^7.424)/y + (g1^32*t^7.789)/y + (2*t^8.332)/(g1^22*y) + (2*g1^16*t^8.395)/y + (2*t^8.635)/(g1^30*y) + (5*g1^8*t^8.697)/y + (g1^46*t^8.76)/y + t^8.938/(g1^38*y) - (t^4.576*y)/g1^2 + 2*g1^2*t^7.424*y + g1^32*t^7.789*y + (2*t^8.332*y)/g1^22 + 2*g1^16*t^8.395*y + (2*t^8.635*y)/g1^30 + 5*g1^8*t^8.697*y + g1^46*t^8.76*y + (t^8.938*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
3241 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.5793 | 0.7341 | 0.7892 | [M:[0.9519, 1.1444, 1.0481, 0.8556, 1.1444], q:[0.738, 0.3102], qb:[0.4064, 0.4492], phi:[0.5241]] | t^2.15 + t^2.278 + 2*t^3.144 + 3*t^3.433 + t^3.561 + t^3.722 + t^3.85 + t^4.011 + t^4.139 + t^4.267 + t^4.299 + t^4.428 + t^4.556 + 2*t^5.294 + 2*t^5.422 + 2*t^5.583 + 2*t^5.711 + t^5.84 - 2*t^6. - t^4.572/y - t^4.572*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 |
---|---|---|---|---|---|---|---|---|---|
1731 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6056 | 0.7771 | 0.7792 | [M:[0.9925, 1.0225, 1.0075, 0.7511], q:[0.7481, 0.2594], qb:[0.5008, 0.4768], phi:[0.5037]] | t^2.208 + t^2.253 + t^2.28 + 2*t^3.022 + 2*t^3.067 + t^3.675 + t^3.72 + t^3.792 + t^4.372 + t^4.417 + t^4.444 + t^4.462 + t^4.489 + t^4.507 + t^4.516 + t^4.534 + t^4.561 + 2*t^5.231 + 3*t^5.276 + 2*t^5.303 + 2*t^5.321 + t^5.348 + t^5.883 + t^5.928 + t^5.973 - 2*t^6. - t^4.511/y - t^4.511*y | detail |