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 |
---|---|---|---|---|---|---|---|---|---|
508 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.7904 | 0.9838 | 0.8034 | [M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]] | [M:[[-2, -2], [-2, -2], [-4, 0], [0, -4], [-2, -2]], q:[[0, 2], [2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 | {a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | -10 | 6*t^2.286 + t^3.714 + 21*t^4.571 + 10*t^4.857 - 10*t^6. + 56*t^6.857 + 45*t^7.143 - 65*t^8.286 - 15*t^8.571 - t^4.143/y - (6*t^6.429)/y + (15*t^7.571)/y + (6*t^7.857)/y - (21*t^8.714)/y - t^4.143*y - 6*t^6.429*y + 15*t^7.571*y + 6*t^7.857*y - 21*t^8.714*y | t^2.286/g1^4 + t^2.286/g2^4 + (4*t^2.286)/(g1^2*g2^2) + g1^2*g2^2*t^3.714 + t^4.571/g1^8 + t^4.571/g2^8 + (4*t^4.571)/(g1^2*g2^6) + (11*t^4.571)/(g1^4*g2^4) + (4*t^4.571)/(g1^6*g2^2) + (3*g1^3*t^4.857)/g2 + 4*g1*g2*t^4.857 + (3*g2^3*t^4.857)/g1 - 4*t^6. - (3*g1^2*t^6.)/g2^2 - (3*g2^2*t^6.)/g1^2 + t^6.857/g1^12 + t^6.857/g2^12 + (4*t^6.857)/(g1^2*g2^10) + (11*t^6.857)/(g1^4*g2^8) + (24*t^6.857)/(g1^6*g2^6) + (11*t^6.857)/(g1^8*g2^4) + (4*t^6.857)/(g1^10*g2^2) + (3*g1^3*t^7.143)/g2^5 + (12*g1*t^7.143)/g2^3 + (15*t^7.143)/(g1*g2) + (12*g2*t^7.143)/g1^3 + (3*g2^3*t^7.143)/g1^5 - (17*t^8.286)/g1^4 - (3*g1^2*t^8.286)/g2^6 - (17*t^8.286)/g2^4 - (25*t^8.286)/(g1^2*g2^2) - (3*g2^2*t^8.286)/g1^6 - 4*g1^5*g2*t^8.571 - 7*g1^3*g2^3*t^8.571 - 4*g1*g2^5*t^8.571 - t^4.143/(g1*g2*y) - t^6.429/(g1*g2^5*y) - (4*t^6.429)/(g1^3*g2^3*y) - t^6.429/(g1^5*g2*y) + (4*t^7.571)/(g1^2*g2^6*y) + (7*t^7.571)/(g1^4*g2^4*y) + (4*t^7.571)/(g1^6*g2^2*y) + (g1^3*t^7.857)/(g2*y) + (4*g1*g2*t^7.857)/y + (g2^3*t^7.857)/(g1*y) - t^8.714/(g1*g2^9*y) - (4*t^8.714)/(g1^3*g2^7*y) - (11*t^8.714)/(g1^5*g2^5*y) - (4*t^8.714)/(g1^7*g2^3*y) - t^8.714/(g1^9*g2*y) - (t^4.143*y)/(g1*g2) - (t^6.429*y)/(g1*g2^5) - (4*t^6.429*y)/(g1^3*g2^3) - (t^6.429*y)/(g1^5*g2) + (4*t^7.571*y)/(g1^2*g2^6) + (7*t^7.571*y)/(g1^4*g2^4) + (4*t^7.571*y)/(g1^6*g2^2) + (g1^3*t^7.857*y)/g2 + 4*g1*g2*t^7.857*y + (g2^3*t^7.857*y)/g1 - (t^8.714*y)/(g1*g2^9) - (4*t^8.714*y)/(g1^3*g2^7) - (11*t^8.714*y)/(g1^5*g2^5) - (4*t^8.714*y)/(g1^7*g2^3) - (t^8.714*y)/(g1^9*g2) |
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 |
---|---|---|---|---|---|---|---|---|
796 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.7729 | 0.9519 | 0.812 | [M:[0.7777, 0.7777, 0.8081, 0.7473, 0.7777, 1.1919], q:[0.6263, 0.596], qb:[0.596, 0.6263], phi:[0.3888]] | t^2.242 + 4*t^2.333 + t^3.576 + t^3.667 + t^4.484 + 4*t^4.575 + 10*t^4.666 + 3*t^4.742 + 4*t^4.833 + 3*t^4.925 + t^5.818 + t^5.909 - 4*t^6. - t^4.167/y - t^4.167*y | detail | |
794 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.7536 | 0.9338 | 0.807 | [M:[0.8465, 0.8465, 0.693, 1.0, 0.8465], q:[0.5, 0.6535], qb:[0.6535, 0.5], phi:[0.4233]] | t^2.079 + 4*t^2.54 + t^3. + t^3.46 + t^4.158 + 3*t^4.27 + 4*t^4.619 + 4*t^4.73 + 11*t^5.079 + 3*t^5.191 + t^5.54 - 3*t^6. - t^4.27/y - t^4.27*y | detail | |
795 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.8092 | 1.0197 | 0.7935 | [M:[0.7518, 0.7518, 0.7518, 0.7518, 0.7518, 0.7518], q:[0.6241, 0.6241], qb:[0.6241, 0.6241], phi:[0.3759]] | 7*t^2.255 + 28*t^4.511 + 10*t^4.872 - 16*t^6. - t^4.128/y - t^4.128*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 |
---|---|---|---|---|---|---|---|---|---|
326 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.7722 | 0.9495 | 0.8132 | [M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]] | 5*t^2.324 + 2*t^3.676 + 15*t^4.647 + 10*t^4.838 - 6*t^6. - t^4.162/y - t^4.162*y | detail |