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 |
---|---|---|---|---|---|---|---|---|---|
2393 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6165 | 0.7954 | 0.7751 | [M:[0.9591, 1.1226, 0.9591, 0.8774, 0.7398, 1.2602, 0.8215], q:[0.7398, 0.3011], qb:[0.4387, 0.4387], phi:[0.5204]] | [M:[[4], [-12], [4], [12], [1], [-1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0 | 2*t^2.219 + t^2.465 + t^2.632 + 2*t^2.877 + t^3.368 + t^3.535 + 2*t^3.781 + 3*t^4.194 + 3*t^4.439 + 2*t^4.684 + 2*t^4.852 + t^4.929 + 5*t^5.097 + t^5.264 + 2*t^5.342 + 2*t^5.51 + 4*t^5.755 + t^5.832 + t^6.168 + 2*t^6.245 + 6*t^6.413 + 7*t^6.658 + t^6.736 + 3*t^6.826 + 7*t^7.071 + 2*t^7.148 + 5*t^7.316 + t^7.394 + 2*t^7.484 + 3*t^7.561 + 6*t^7.729 + t^7.806 + t^7.897 + 9*t^7.974 + 2*t^8.142 - 2*t^8.219 + t^8.297 + 9*t^8.387 - 4*t^8.465 + 7*t^8.632 + 2*t^8.71 + t^8.8 - t^4.561/y - t^7.026/y + (3*t^7.684)/y + (2*t^7.852)/y + (6*t^8.097)/y + (2*t^8.342)/y + (2*t^8.51)/y + (2*t^8.587)/y + (3*t^8.755)/y + t^8.832/y - t^4.561*y - t^7.026*y + 3*t^7.684*y + 2*t^7.852*y + 6*t^8.097*y + 2*t^8.342*y + 2*t^8.51*y + 2*t^8.587*y + 3*t^8.755*y + t^8.832*y | 2*g1*t^2.219 + t^2.465/g1^7 + g1^12*t^2.632 + 2*g1^4*t^2.877 + t^3.368/g1^12 + g1^7*t^3.535 + (2*t^3.781)/g1 + 3*g1^10*t^4.194 + 3*g1^2*t^4.439 + (2*t^4.684)/g1^6 + 2*g1^13*t^4.852 + t^4.929/g1^14 + 5*g1^5*t^5.097 + g1^24*t^5.264 + (2*t^5.342)/g1^3 + 2*g1^16*t^5.51 + 4*g1^8*t^5.755 + t^5.832/g1^19 + g1^19*t^6.168 + (2*t^6.245)/g1^8 + 6*g1^11*t^6.413 + 7*g1^3*t^6.658 + t^6.736/g1^24 + 3*g1^22*t^6.826 + 7*g1^14*t^7.071 + (2*t^7.148)/g1^13 + 5*g1^6*t^7.316 + t^7.394/g1^21 + 2*g1^25*t^7.484 + (3*t^7.561)/g1^2 + 6*g1^17*t^7.729 + t^7.806/g1^10 + g1^36*t^7.897 + 9*g1^9*t^7.974 + 2*g1^28*t^8.142 - 2*g1*t^8.219 + t^8.297/g1^26 + 9*g1^20*t^8.387 - (4*t^8.465)/g1^7 + 7*g1^12*t^8.632 + (2*t^8.71)/g1^15 + g1^31*t^8.8 - t^4.561/(g1^2*y) - t^7.026/(g1^9*y) + (3*t^7.684)/(g1^6*y) + (2*g1^13*t^7.852)/y + (6*g1^5*t^8.097)/y + (2*t^8.342)/(g1^3*y) + (2*g1^16*t^8.51)/y + (2*t^8.587)/(g1^11*y) + (3*g1^8*t^8.755)/y + t^8.832/(g1^19*y) - (t^4.561*y)/g1^2 - (t^7.026*y)/g1^9 + (3*t^7.684*y)/g1^6 + 2*g1^13*t^7.852*y + 6*g1^5*t^8.097*y + (2*t^8.342*y)/g1^3 + 2*g1^16*t^8.51*y + (2*t^8.587*y)/g1^11 + 3*g1^8*t^8.755*y + (t^8.832*y)/g1^19 |
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 |
---|---|---|---|---|---|---|---|---|
4418 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6321 | 0.8217 | 0.7693 | [M:[0.967, 1.099, 0.967, 0.901, 0.7418, 1.2582, 0.8077, 0.8077], q:[0.7418, 0.2912], qb:[0.4505, 0.4505], phi:[0.5165]] | 2*t^2.225 + 2*t^2.423 + t^2.703 + 2*t^2.901 + t^3.297 + 2*t^3.775 + 3*t^4.253 + 3*t^4.451 + 4*t^4.648 + 3*t^4.846 + 2*t^4.928 + 6*t^5.126 + 4*t^5.324 + t^5.406 + 2*t^5.604 + 2*t^5.72 + 2*t^5.802 - t^6. - t^4.549/y - t^4.549*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 |
---|---|---|---|---|---|---|---|---|---|
1350 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.6019 | 0.7721 | 0.7795 | [M:[0.9502, 1.1494, 0.9502, 0.8506, 0.7376, 1.2624], q:[0.7376, 0.3122], qb:[0.4253, 0.4253], phi:[0.5249]] | 2*t^2.213 + t^2.552 + 2*t^2.851 + t^3.448 + 2*t^3.489 + 2*t^3.787 + 3*t^4.127 + 3*t^4.425 + 2*t^4.764 + 4*t^5.063 + t^5.104 + 2*t^5.402 + 6*t^5.701 - t^6. - t^4.575/y - t^4.575*y | detail |