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 |
---|---|---|---|---|---|---|---|---|---|
46157 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6466 | 0.8508 | 0.76 | [M:[0.6983, 0.7146, 1.0, 0.7331], q:[0.7587, 0.543], qb:[0.5267, 0.2413], phi:[0.4826]] | [M:[[1, 9], [-1, 1], [0, 0], [1, 5]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.095 + t^2.144 + t^2.199 + t^2.304 + t^2.353 + 2*t^2.896 + t^3. + t^3.209 + t^3.752 + t^4.19 + t^4.239 + t^4.288 + t^4.294 + t^4.343 + 2*t^4.399 + 2*t^4.448 + t^4.497 + t^4.503 + t^4.552 + 2*t^4.608 + 2*t^4.657 + 2*t^4.706 + 2*t^4.991 + 2*t^5.039 + 2*t^5.095 + 3*t^5.199 + 2*t^5.248 + 2*t^5.304 + 2*t^5.353 + t^5.408 + t^5.513 + t^5.562 + 3*t^5.791 + t^5.847 + 2*t^5.896 - 3*t^6. - t^6.049 + t^6.056 + 2*t^6.104 + t^6.285 + t^6.334 + t^6.383 + t^6.389 + t^6.418 + t^6.432 + t^6.438 + t^6.487 + 2*t^6.494 + 2*t^6.543 + t^6.592 + 2*t^6.598 + t^6.641 + 3*t^6.647 + 3*t^6.703 + 4*t^6.752 + 2*t^6.801 + 2*t^6.807 + 2*t^6.849 + 2*t^6.912 + 3*t^6.961 + 2*t^7.009 + 2*t^7.058 + 2*t^7.086 + 2*t^7.134 + 2*t^7.183 + 2*t^7.19 + t^7.239 + 4*t^7.294 + 4*t^7.343 + 2*t^7.392 + 3*t^7.399 + t^7.448 + 6*t^7.503 + 3*t^7.552 + 3*t^7.601 + 3*t^7.608 + 2*t^7.657 + 2*t^7.706 - t^7.81 + 2*t^7.817 + 2*t^7.866 + 3*t^7.886 + 2*t^7.914 + 3*t^7.935 + t^7.942 + 3*t^7.991 - 2*t^8.144 + t^8.151 - t^8.193 + t^8.199 + 2*t^8.248 - 4*t^8.304 - 6*t^8.353 + 2*t^8.359 + t^8.38 - t^8.402 + t^8.408 + t^8.429 + t^8.457 + t^8.478 + t^8.484 + t^8.527 + t^8.533 + t^8.576 + t^8.582 + 2*t^8.589 + t^8.617 + t^8.631 + 2*t^8.638 + 5*t^8.687 + 2*t^8.693 + t^8.722 + t^8.736 + 4*t^8.742 + t^8.771 + t^8.784 + 3*t^8.791 + 4*t^8.798 + t^8.84 + 3*t^8.847 - 5*t^8.896 + 3*t^8.902 + 3*t^8.951 + 2*t^8.993 - t^4.448/y - t^6.543/y - t^6.592/y - t^6.647/y + t^7.239/y + t^7.294/y + t^7.399/y + (2*t^7.448)/y + t^7.497/y + t^7.503/y + (2*t^7.552)/y + t^7.657/y + (2*t^7.991)/y + (2*t^8.039)/y + (3*t^8.095)/y + t^8.144/y + (3*t^8.199)/y + (3*t^8.248)/y + (3*t^8.304)/y + (3*t^8.353)/y + t^8.408/y + t^8.513/y + t^8.562/y - t^8.638/y - t^8.687/y - t^8.736/y - t^8.742/y + (3*t^8.896)/y + t^8.951/y - t^4.448*y - t^6.543*y - t^6.592*y - t^6.647*y + t^7.239*y + t^7.294*y + t^7.399*y + 2*t^7.448*y + t^7.497*y + t^7.503*y + 2*t^7.552*y + t^7.657*y + 2*t^7.991*y + 2*t^8.039*y + 3*t^8.095*y + t^8.144*y + 3*t^8.199*y + 3*t^8.248*y + 3*t^8.304*y + 3*t^8.353*y + t^8.408*y + t^8.513*y + t^8.562*y - t^8.638*y - t^8.687*y - t^8.736*y - t^8.742*y + 3*t^8.896*y + t^8.951*y | g1*g2^9*t^2.095 + (g2*t^2.144)/g1 + g1*g2^5*t^2.199 + g1*g2*t^2.304 + t^2.353/(g1*g2^7) + 2*g2^4*t^2.896 + t^3. + t^3.209/g2^8 + g1*g2^3*t^3.752 + g1^2*g2^18*t^4.19 + g2^10*t^4.239 + (g2^2*t^4.288)/g1^2 + g1^2*g2^14*t^4.294 + g2^6*t^4.343 + 2*g1^2*g2^10*t^4.399 + 2*g2^2*t^4.448 + t^4.497/(g1^2*g2^6) + g1^2*g2^6*t^4.503 + t^4.552/g2^2 + 2*g1^2*g2^2*t^4.608 + (2*t^4.657)/g2^6 + (2*t^4.706)/(g1^2*g2^14) + 2*g1*g2^13*t^4.991 + (2*g2^5*t^5.039)/g1 + 2*g1*g2^9*t^5.095 + 3*g1*g2^5*t^5.199 + (2*t^5.248)/(g1*g2^3) + 2*g1*g2*t^5.304 + (2*t^5.353)/(g1*g2^7) + (g1*t^5.408)/g2^3 + (g1*t^5.513)/g2^7 + t^5.562/(g1*g2^15) + 3*g2^8*t^5.791 + g1^2*g2^12*t^5.847 + 2*g2^4*t^5.896 - 3*t^6. - t^6.049/(g1^2*g2^8) + g1^2*g2^4*t^6.056 + (2*t^6.104)/g2^4 + g1^3*g2^27*t^6.285 + g1*g2^19*t^6.334 + (g2^11*t^6.383)/g1 + g1^3*g2^23*t^6.389 + t^6.418/g2^16 + (g2^3*t^6.432)/g1^3 + g1*g2^15*t^6.438 + (g2^7*t^6.487)/g1 + 2*g1^3*g2^19*t^6.494 + 2*g1*g2^11*t^6.543 + (g2^3*t^6.592)/g1 + 2*g1^3*g2^15*t^6.598 + t^6.641/(g1^3*g2^5) + 3*g1*g2^7*t^6.647 + 3*g1^3*g2^11*t^6.703 + 4*g1*g2^3*t^6.752 + (2*t^6.801)/(g1*g2^5) + 2*g1^3*g2^7*t^6.807 + (2*t^6.849)/(g1^3*g2^13) + 2*g1^3*g2^3*t^6.912 + (3*g1*t^6.961)/g2^5 + (2*t^7.009)/(g1*g2^13) + (2*t^7.058)/(g1^3*g2^21) + 2*g1^2*g2^22*t^7.086 + 2*g2^14*t^7.134 + (2*g2^6*t^7.183)/g1^2 + 2*g1^2*g2^18*t^7.19 + g2^10*t^7.239 + 4*g1^2*g2^14*t^7.294 + 4*g2^6*t^7.343 + (2*t^7.392)/(g1^2*g2^2) + 3*g1^2*g2^10*t^7.399 + g2^2*t^7.448 + 6*g1^2*g2^6*t^7.503 + (3*t^7.552)/g2^2 + (3*t^7.601)/(g1^2*g2^10) + 3*g1^2*g2^2*t^7.608 + (2*t^7.657)/g2^6 + (2*t^7.706)/(g1^2*g2^14) - t^7.81/(g1^2*g2^18) + (2*g1^2*t^7.817)/g2^6 + (2*t^7.866)/g2^14 + 3*g1*g2^17*t^7.886 + (2*t^7.914)/(g1^2*g2^22) + (3*g2^9*t^7.935)/g1 + g1^3*g2^21*t^7.942 + 3*g1*g2^13*t^7.991 - (2*g2*t^8.144)/g1 + g1^3*g2^13*t^8.151 - t^8.193/(g1^3*g2^7) + g1*g2^5*t^8.199 + (2*t^8.248)/(g1*g2^3) - 4*g1*g2*t^8.304 - (6*t^8.353)/(g1*g2^7) + 2*g1^3*g2^5*t^8.359 + g1^4*g2^36*t^8.38 - t^8.402/(g1^3*g2^15) + (g1*t^8.408)/g2^3 + g1^2*g2^28*t^8.429 + t^8.457/(g1*g2^11) + g2^20*t^8.478 + g1^4*g2^32*t^8.484 + (g2^12*t^8.527)/g1^2 + g1^2*g2^24*t^8.533 + (g2^4*t^8.576)/g1^4 + g2^16*t^8.582 + 2*g1^4*g2^28*t^8.589 + (g1*t^8.617)/g2^11 + (g2^8*t^8.631)/g1^2 + 2*g1^2*g2^20*t^8.638 + 5*g2^12*t^8.687 + 2*g1^4*g2^24*t^8.693 + (g1*t^8.722)/g2^15 + (g2^4*t^8.736)/g1^2 + 4*g1^2*g2^16*t^8.742 + t^8.771/(g1*g2^23) + t^8.784/(g1^4*g2^4) + 3*g2^8*t^8.791 + 4*g1^4*g2^20*t^8.798 + t^8.84/g1^2 + 3*g1^2*g2^12*t^8.847 - 5*g2^4*t^8.896 + 3*g1^4*g2^16*t^8.902 + 3*g1^2*g2^8*t^8.951 + (2*t^8.993)/(g1^4*g2^12) - (g2^2*t^4.448)/y - (g1*g2^11*t^6.543)/y - (g2^3*t^6.592)/(g1*y) - (g1*g2^7*t^6.647)/y + (g2^10*t^7.239)/y + (g1^2*g2^14*t^7.294)/y + (g1^2*g2^10*t^7.399)/y + (2*g2^2*t^7.448)/y + t^7.497/(g1^2*g2^6*y) + (g1^2*g2^6*t^7.503)/y + (2*t^7.552)/(g2^2*y) + t^7.657/(g2^6*y) + (2*g1*g2^13*t^7.991)/y + (2*g2^5*t^8.039)/(g1*y) + (3*g1*g2^9*t^8.095)/y + (g2*t^8.144)/(g1*y) + (3*g1*g2^5*t^8.199)/y + (3*t^8.248)/(g1*g2^3*y) + (3*g1*g2*t^8.304)/y + (3*t^8.353)/(g1*g2^7*y) + (g1*t^8.408)/(g2^3*y) + (g1*t^8.513)/(g2^7*y) + t^8.562/(g1*g2^15*y) - (g1^2*g2^20*t^8.638)/y - (g2^12*t^8.687)/y - (g2^4*t^8.736)/(g1^2*y) - (g1^2*g2^16*t^8.742)/y + (3*g2^4*t^8.896)/y + (g1^2*g2^8*t^8.951)/y - g2^2*t^4.448*y - g1*g2^11*t^6.543*y - (g2^3*t^6.592*y)/g1 - g1*g2^7*t^6.647*y + g2^10*t^7.239*y + g1^2*g2^14*t^7.294*y + g1^2*g2^10*t^7.399*y + 2*g2^2*t^7.448*y + (t^7.497*y)/(g1^2*g2^6) + g1^2*g2^6*t^7.503*y + (2*t^7.552*y)/g2^2 + (t^7.657*y)/g2^6 + 2*g1*g2^13*t^7.991*y + (2*g2^5*t^8.039*y)/g1 + 3*g1*g2^9*t^8.095*y + (g2*t^8.144*y)/g1 + 3*g1*g2^5*t^8.199*y + (3*t^8.248*y)/(g1*g2^3) + 3*g1*g2*t^8.304*y + (3*t^8.353*y)/(g1*g2^7) + (g1*t^8.408*y)/g2^3 + (g1*t^8.513*y)/g2^7 + (t^8.562*y)/(g1*g2^15) - g1^2*g2^20*t^8.638*y - g2^12*t^8.687*y - (g2^4*t^8.736*y)/g1^2 - g1^2*g2^16*t^8.742*y + 3*g2^4*t^8.896*y + g1^2*g2^8*t^8.951*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 |
---|---|---|---|---|---|---|---|---|
46407 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6659 | 0.8858 | 0.7517 | [M:[0.7042, 0.7042, 1.0, 0.7408, 0.7408], q:[0.7592, 0.5366], qb:[0.5366, 0.2408], phi:[0.4817]] | 2*t^2.113 + 2*t^2.223 + 2*t^2.332 + 2*t^2.89 + t^3. + t^3.22 + 3*t^4.225 + 4*t^4.335 + 7*t^4.445 + 4*t^4.555 + 6*t^4.665 + 4*t^5.003 + 4*t^5.113 + 6*t^5.223 + 4*t^5.332 + 2*t^5.442 + 2*t^5.552 + 3*t^5.78 + t^5.89 - 5*t^6. - t^4.445/y - t^4.445*y | detail | |
46578 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6442 | 0.847 | 0.7605 | [M:[0.719, 0.7359, 1.0, 0.737, 1.0181], q:[0.7545, 0.5265], qb:[0.5096, 0.2455], phi:[0.491]] | t^2.157 + t^2.208 + t^2.211 + t^2.265 + t^2.316 + t^2.946 + t^3. + t^3.054 + t^3.108 + t^3.738 + t^4.314 + t^4.365 + t^4.368 + t^4.415 + t^4.419 + 2*t^4.422 + 2*t^4.473 + t^4.476 + t^4.524 + t^4.527 + 2*t^4.53 + 2*t^4.581 + 2*t^4.632 + t^5.103 + t^5.154 + t^5.157 + 3*t^5.211 + 2*t^5.262 + 3*t^5.265 + 2*t^5.316 + 2*t^5.319 + t^5.37 + t^5.373 + t^5.424 + t^5.892 + t^5.895 + t^5.946 - 2*t^6. - t^4.473/y - t^4.473*y | detail | |
46729 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6196 | 0.8021 | 0.7724 | [X:[1.3806], M:[0.6194, 0.6815, 1.0, 0.6991], q:[0.7699, 0.6106], qb:[0.5486, 0.2301], phi:[0.4602]] | t^2.044 + t^2.097 + t^2.336 + t^2.522 + 2*t^2.761 + t^3. + t^3.478 + t^3.717 + t^4.089 + 2*t^4.142 + t^4.194 + t^4.381 + t^4.433 + t^4.567 + t^4.619 + 2*t^4.672 + 2*t^4.806 + 3*t^4.858 + 2*t^5.044 + 3*t^5.097 + 2*t^5.283 + t^5.336 + 5*t^5.522 + t^5.575 + 2*t^5.761 + t^5.814 - 2*t^6. - t^4.381/y - t^4.381*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 |
---|---|---|---|---|---|---|---|---|---|
46026 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ | 0.6271 | 0.8146 | 0.7698 | [M:[0.7084, 0.7084, 1.0], q:[0.7583, 0.5333], qb:[0.5333, 0.2417], phi:[0.4834]] | 2*t^2.125 + 2*t^2.325 + 2*t^2.9 + t^3. + t^3.2 + 2*t^3.775 + 3*t^4.25 + 4*t^4.45 + 6*t^4.65 + 4*t^5.025 + 4*t^5.225 + 4*t^5.325 + 2*t^5.525 + 3*t^5.8 + 5*t^5.9 - 5*t^6. - t^4.45/y - t^4.45*y | detail |