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 |
---|---|---|---|---|---|---|---|---|---|
46561 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.7283 | 0.8957 | 0.8131 | [M:[0.82, 0.7699, 0.9749, 1.0251, 0.9749], q:[0.6538, 0.5262], qb:[0.5763, 0.4487], phi:[0.4487]] | [M:[[1, 5], [-1, 3], [-1, -1], [1, 1], [-1, -1]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$ | ${}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -2 | t^2.31 + t^2.46 + t^2.692 + 2*t^2.925 + 2*t^3.308 + t^4.039 + t^4.271 + t^4.421 + t^4.503 + t^4.62 + 2*t^4.654 + t^4.77 + t^4.804 + t^4.886 + t^4.92 + t^5.002 + t^5.036 + t^5.153 + 2*t^5.235 + t^5.269 + 2*t^5.385 + 2*t^5.617 + 2*t^5.85 - 2*t^6. - t^6.15 + 2*t^6.232 + t^6.349 - 2*t^6.383 + t^6.499 + t^6.581 + t^6.615 + 2*t^6.731 + t^6.813 + t^6.882 + t^6.929 + 4*t^6.964 + t^7.08 + 2*t^7.114 + 3*t^7.196 + t^7.23 + t^7.264 + t^7.312 + 3*t^7.346 + t^7.38 + 2*t^7.428 + t^7.462 + t^7.497 + 2*t^7.544 + 3*t^7.579 + t^7.613 + 2*t^7.695 + t^7.729 + 2*t^7.811 + 2*t^7.845 + 2*t^7.927 + t^7.961 + 2*t^8.077 + 2*t^8.159 + t^8.194 - t^8.344 - 3*t^8.46 + 2*t^8.542 - t^8.61 + t^8.658 - 3*t^8.692 + 3*t^8.775 + t^8.809 - t^8.843 + t^8.891 - 5*t^8.925 + t^8.959 - t^4.346/y - t^6.656/y - t^6.806/y - t^7.039/y - t^7.271/y + t^7.421/y + t^7.654/y + t^7.77/y + t^7.886/y + t^8.002/y + t^8.036/y + t^8.153/y + (2*t^8.235)/y + (2*t^8.385)/y + (4*t^8.617)/y + (2*t^8.768)/y + t^8.85/y - t^8.966/y - t^4.346*y - t^6.656*y - t^6.806*y - t^7.039*y - t^7.271*y + t^7.421*y + t^7.654*y + t^7.77*y + t^7.886*y + t^8.002*y + t^8.036*y + t^8.153*y + 2*t^8.235*y + 2*t^8.385*y + 4*t^8.617*y + 2*t^8.768*y + t^8.85*y - t^8.966*y | (g2^3*t^2.31)/g1 + g1*g2^5*t^2.46 + g2^2*t^2.692 + (2*t^2.925)/(g1*g2) + (2*t^3.308)/g2^2 + g2^3*t^4.039 + t^4.271/g1 + g1*g2^2*t^4.421 + t^4.503/(g1^2*g2^3) + (g2^6*t^4.62)/g1^2 + (2*t^4.654)/g2 + g2^8*t^4.77 + g1^2*g2*t^4.804 + t^4.886/(g1*g2^4) + g1^2*g2^10*t^4.92 + (g2^5*t^5.002)/g1 + (g1*t^5.036)/g2^2 + g1*g2^7*t^5.153 + (2*g2^2*t^5.235)/g1^2 + t^5.269/g2^5 + 2*g2^4*t^5.385 + (2*g2*t^5.617)/g1 + (2*t^5.85)/(g1^2*g2^2) - 2*t^6. - g1^2*g2^2*t^6.15 + (2*t^6.232)/(g1*g2^3) + (g2^6*t^6.349)/g1 - (2*g1*t^6.383)/g2 + g1*g2^8*t^6.499 + (g2^3*t^6.581)/g1^2 + t^6.615/g2^4 + 2*g2^5*t^6.731 + t^6.813/g1^3 + g1^2*g2^7*t^6.882 + (g2^9*t^6.929)/g1^3 + (4*g2^2*t^6.964)/g1 + (g2^11*t^7.08)/g1 + 2*g1*g2^4*t^7.114 + (3*t^7.196)/(g1^2*g2) + g1*g2^13*t^7.23 + g1^3*g2^6*t^7.264 + (g2^8*t^7.312)/g1^2 + 3*g2*t^7.346 + g1^3*g2^15*t^7.38 + (2*t^7.428)/(g1^3*g2^4) + g2^10*t^7.462 + g1^2*g2^3*t^7.497 + (2*g2^5*t^7.544)/g1^3 + (3*t^7.579)/(g1*g2^2) + g1^2*g2^12*t^7.613 + (2*g2^7*t^7.695)/g1 + g1*t^7.729 + (2*t^7.811)/(g1^2*g2^5) + 2*g1*g2^9*t^7.845 + (2*g2^4*t^7.927)/g1^2 + t^7.961/g2^3 + 2*g2^6*t^8.077 + (2*g2*t^8.159)/g1^3 + t^8.194/(g1*g2^6) - (g1*t^8.344)/g2^4 - 3*g1*g2^5*t^8.46 + (2*t^8.542)/g1^2 - g1^3*g2^7*t^8.61 + (g2^9*t^8.658)/g1^2 - 3*g2^2*t^8.692 + (3*t^8.775)/(g1^3*g2^3) + g2^11*t^8.809 - g1^2*g2^4*t^8.843 + (g2^6*t^8.891)/g1^3 - (5*t^8.925)/(g1*g2) + g1^2*g2^13*t^8.959 - (g2*t^4.346)/y - (g2^4*t^6.656)/(g1*y) - (g1*g2^6*t^6.806)/y - (g2^3*t^7.039)/y - t^7.271/(g1*y) + (g1*g2^2*t^7.421)/y + t^7.654/(g2*y) + (g2^8*t^7.77)/y + t^7.886/(g1*g2^4*y) + (g2^5*t^8.002)/(g1*y) + (g1*t^8.036)/(g2^2*y) + (g1*g2^7*t^8.153)/y + (2*g2^2*t^8.235)/(g1^2*y) + (2*g2^4*t^8.385)/y + (4*g2*t^8.617)/(g1*y) + (2*g1*g2^3*t^8.768)/y + t^8.85/(g1^2*g2^2*y) - (g2^7*t^8.966)/(g1^2*y) - g2*t^4.346*y - (g2^4*t^6.656*y)/g1 - g1*g2^6*t^6.806*y - g2^3*t^7.039*y - (t^7.271*y)/g1 + g1*g2^2*t^7.421*y + (t^7.654*y)/g2 + g2^8*t^7.77*y + (t^7.886*y)/(g1*g2^4) + (g2^5*t^8.002*y)/g1 + (g1*t^8.036*y)/g2^2 + g1*g2^7*t^8.153*y + (2*g2^2*t^8.235*y)/g1^2 + 2*g2^4*t^8.385*y + (4*g2*t^8.617*y)/g1 + 2*g1*g2^3*t^8.768*y + (t^8.85*y)/(g1^2*g2^2) - (g2^7*t^8.966*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
46966 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{6}$ | 0.7115 | 0.8652 | 0.8224 | [M:[0.8397, 0.8257, 0.993, 1.007, 0.993, 1.1743], q:[0.6254, 0.5348], qb:[0.5488, 0.4582], phi:[0.4582]] | t^2.519 + t^2.749 + 2*t^2.979 + 2*t^3.251 + t^3.523 + t^4.124 + t^4.354 + t^4.396 + t^4.583 + 2*t^4.625 + t^4.667 + t^4.855 + t^4.897 + t^5.038 + t^5.127 + t^5.268 + 2*t^5.498 + 2*t^5.958 - 2*t^6. - t^4.375/y - t^4.375*y | detail | |
46976 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$ | 0.6381 | 0.7898 | 0.8079 | [X:[1.5044], M:[0.9229, 0.4956, 0.7863, 1.2137, 0.7863], q:[0.7181, 0.359], qb:[0.7863, 0.4273], phi:[0.4273]] | 2*t^2.359 + t^2.564 + t^2.769 + 3*t^3.436 + t^3.641 + t^3.846 + 2*t^4.513 + 4*t^4.718 + t^4.923 + 2*t^5.128 + t^5.332 + t^5.537 + t^5.59 + 5*t^5.795 + t^6. - t^4.282/y - t^4.282*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 |
---|---|---|---|---|---|---|---|---|---|
46233 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7271 | 0.893 | 0.8142 | [M:[0.7947, 0.7947, 1.0, 1.0], q:[0.654, 0.5513], qb:[0.5513, 0.4487], phi:[0.4487]] | 2*t^2.384 + t^2.692 + 2*t^3. + 2*t^3.308 + t^4.038 + 2*t^4.346 + 4*t^4.654 + 3*t^4.768 + 2*t^4.962 + 2*t^5.076 + t^5.27 + 4*t^5.384 + 2*t^5.692 - t^6. - t^4.346/y - t^4.346*y | detail |