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 |
---|---|---|---|---|---|---|---|---|---|
56042 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ | 0.6487 | 0.8115 | 0.7994 | [M:[1.185, 0.7398, 0.815, 0.8401, 0.815, 1.1599, 0.815], q:[0.4201, 0.395], qb:[0.8401, 0.7649], phi:[0.395]] | [M:[[3], [12], [-3], [-8], [-3], [8], [-3]], q:[[-4], [1]], qb:[[-8], [7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -2 | t^2.22 + t^2.37 + 3*t^2.445 + t^3.48 + t^3.63 + 2*t^3.705 + t^4.439 + t^4.589 + 3*t^4.665 + t^4.74 + 4*t^4.815 + 6*t^4.89 + t^5.699 + t^5.85 + 3*t^5.925 - 2*t^6. + 3*t^6.075 + 5*t^6.15 + t^6.659 + t^6.809 + 3*t^6.884 + 2*t^6.959 + 3*t^7.035 + 5*t^7.11 + 2*t^7.185 + 5*t^7.26 + 9*t^7.335 + 2*t^7.411 + t^7.919 + t^8.069 + 3*t^8.144 - 2*t^8.22 + t^8.295 + 2*t^8.37 - 7*t^8.445 + 5*t^8.52 + 8*t^8.596 + t^8.878 - t^4.185/y - t^6.404/y - t^6.555/y - (2*t^6.63)/y + t^7.589/y + (3*t^7.665)/y + (2*t^7.74)/y + (4*t^7.815)/y + (3*t^7.89)/y + t^7.965/y - t^8.624/y + t^8.699/y - t^8.774/y + (4*t^8.925)/y - t^4.185*y - t^6.404*y - t^6.555*y - 2*t^6.63*y + t^7.589*y + 3*t^7.665*y + 2*t^7.74*y + 4*t^7.815*y + 3*t^7.89*y + t^7.965*y - t^8.624*y + t^8.699*y - t^8.774*y + 4*t^8.925*y | g1^12*t^2.22 + g1^2*t^2.37 + (3*t^2.445)/g1^3 + g1^8*t^3.48 + t^3.63/g1^2 + (2*t^3.705)/g1^7 + g1^24*t^4.439 + g1^14*t^4.589 + 3*g1^9*t^4.665 + g1^4*t^4.74 + (4*t^4.815)/g1 + (6*t^4.89)/g1^6 + g1^20*t^5.699 + g1^10*t^5.85 + 3*g1^5*t^5.925 - 2*t^6. + (3*t^6.075)/g1^5 + (5*t^6.15)/g1^10 + g1^36*t^6.659 + g1^26*t^6.809 + 3*g1^21*t^6.884 + 2*g1^16*t^6.959 + 3*g1^11*t^7.035 + 5*g1^6*t^7.11 + 2*g1*t^7.185 + (5*t^7.26)/g1^4 + (9*t^7.335)/g1^9 + (2*t^7.411)/g1^14 + g1^32*t^7.919 + g1^22*t^8.069 + 3*g1^17*t^8.144 - 2*g1^12*t^8.22 + g1^7*t^8.295 + 2*g1^2*t^8.37 - (7*t^8.445)/g1^3 + (5*t^8.52)/g1^8 + (8*t^8.596)/g1^13 + g1^48*t^8.878 - (g1*t^4.185)/y - (g1^13*t^6.404)/y - (g1^3*t^6.555)/y - (2*t^6.63)/(g1^2*y) + (g1^14*t^7.589)/y + (3*g1^9*t^7.665)/y + (2*g1^4*t^7.74)/y + (4*t^7.815)/(g1*y) + (3*t^7.89)/(g1^6*y) + t^7.965/(g1^11*y) - (g1^25*t^8.624)/y + (g1^20*t^8.699)/y - (g1^15*t^8.774)/y + (4*g1^5*t^8.925)/y - g1*t^4.185*y - g1^13*t^6.404*y - g1^3*t^6.555*y - (2*t^6.63*y)/g1^2 + g1^14*t^7.589*y + 3*g1^9*t^7.665*y + 2*g1^4*t^7.74*y + (4*t^7.815*y)/g1 + (3*t^7.89*y)/g1^6 + (t^7.965*y)/g1^11 - g1^25*t^8.624*y + g1^20*t^8.699*y - g1^15*t^8.774*y + 4*g1^5*t^8.925*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 |
---|---|---|---|---|---|---|---|---|
58082 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6658 | 0.8419 | 0.7909 | [M:[1.1831, 0.7323, 0.8169, 0.8451, 0.8169, 1.1549, 0.8169, 0.7887], q:[0.4226, 0.3944], qb:[0.8451, 0.7605], phi:[0.3944]] | t^2.197 + 2*t^2.366 + 3*t^2.451 + t^3.465 + 2*t^3.718 + t^4.394 + 2*t^4.563 + 3*t^4.648 + 3*t^4.732 + 7*t^4.817 + 6*t^4.901 + t^5.662 + t^5.831 + 3*t^5.915 - 3*t^6. - t^4.183/y - t^4.183*y | detail | |
58080 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6317 | 0.7814 | 0.8084 | [M:[1.1869, 0.7475, 0.8131, 0.835, 0.8131, 1.165, 0.8131, 1.2087], q:[0.4175, 0.3956], qb:[0.835, 0.7694], phi:[0.3956]] | t^2.243 + 3*t^2.439 + t^3.495 + 2*t^3.626 + 2*t^3.692 + t^4.485 + 3*t^4.682 + t^4.813 + 6*t^4.879 + t^5.738 + t^5.869 + 3*t^5.934 - 3*t^6. - t^4.187/y - t^4.187*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 |
---|---|---|---|---|---|---|---|---|---|
50757 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ | 0.6332 | 0.7848 | 0.8069 | [M:[1.1817, 0.7266, 0.8183, 0.8489, 0.8183, 1.1511], q:[0.4245, 0.3939], qb:[0.8489, 0.7572], phi:[0.3939]] | t^2.18 + t^2.363 + 2*t^2.455 + t^3.453 + t^3.545 + t^3.637 + 2*t^3.728 + t^4.36 + t^4.543 + 2*t^4.635 + t^4.727 + 3*t^4.818 + 3*t^4.91 + t^5.633 + t^5.725 + t^5.817 + 3*t^5.908 - t^4.182/y - t^4.182*y | detail |