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 |
---|---|---|---|---|---|---|---|---|---|
46268 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7046 | 0.8591 | 0.8202 | [M:[0.9439, 0.9439, 1.0561, 0.9439], q:[0.472, 0.5841], qb:[0.5841, 0.472], phi:[0.472]] | [M:[[-2, -2], [0, 4], [2, 2], [-4, -8]], q:[[-2, -4], [4, 6]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$ | ${}M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 4*t^2.832 + 2*t^3.168 + t^3.505 + 3*t^4.248 + 4*t^4.584 + 3*t^4.921 + 6*t^5.664 + 2*t^6.336 + 2*t^6.673 + t^7.009 + 8*t^7.079 + 8*t^7.416 + 8*t^7.752 + 3*t^8.089 + 3*t^8.425 + 12*t^8.495 - 5*t^8.832 - t^4.416/y - (3*t^7.248)/y + (3*t^7.584)/y + (6*t^8.664)/y - t^4.416*y - 3*t^7.248*y + 3*t^7.584*y + 6*t^8.664*y | t^2.832/(g1^4*g2^8) + (2*t^2.832)/(g1^2*g2^2) + g2^4*t^2.832 + 2*g1^2*g2^2*t^3.168 + g1^6*g2^6*t^3.505 + t^4.248/(g1^5*g2^9) + t^4.248/(g1^3*g2^3) + (g2^3*t^4.248)/g1 + t^4.584/(g1*g2^5) + 2*g1*g2*t^4.584 + g1^3*g2^7*t^4.584 + (g1^3*t^4.921)/g2 + g1^5*g2^5*t^4.921 + g1^7*g2^11*t^4.921 + t^5.664/(g1^8*g2^16) + t^5.664/(g1^6*g2^10) + (2*t^5.664)/(g1^4*g2^4) + (g2^2*t^5.664)/g1^2 + g2^8*t^5.664 + 2*g1^4*g2^4*t^6.336 + 2*g1^8*g2^8*t^6.673 + g1^12*g2^12*t^7.009 + t^7.079/(g1^9*g2^17) + (2*t^7.079)/(g1^7*g2^11) + (2*t^7.079)/(g1^5*g2^5) + (2*g2*t^7.079)/g1^3 + (g2^7*t^7.079)/g1 + t^7.416/(g1^5*g2^13) + (2*t^7.416)/(g1^3*g2^7) + (2*t^7.416)/(g1*g2) + 2*g1*g2^5*t^7.416 + g1^3*g2^11*t^7.416 + t^7.752/(g1*g2^9) + (2*g1*t^7.752)/g2^3 + 2*g1^3*g2^3*t^7.752 + 2*g1^5*g2^9*t^7.752 + g1^7*g2^15*t^7.752 + g1^5*g2*t^8.089 + g1^7*g2^7*t^8.089 + g1^9*g2^13*t^8.089 + g1^9*g2^5*t^8.425 + g1^11*g2^11*t^8.425 + g1^13*g2^17*t^8.425 + (2*t^8.495)/g1^4 + t^8.495/(g1^12*g2^24) + (2*t^8.495)/(g1^10*g2^18) + (2*t^8.495)/(g1^8*g2^12) + (2*t^8.495)/(g1^6*g2^6) + (2*g2^6*t^8.495)/g1^2 + g2^12*t^8.495 + t^8.832/(g1^6*g2^14) - (2*t^8.832)/(g1^4*g2^8) - (3*t^8.832)/(g1^2*g2^2) - 2*g2^4*t^8.832 + g1^2*g2^10*t^8.832 - t^4.416/(g1*g2*y) - t^7.248/(g1^5*g2^9*y) - t^7.248/(g1^3*g2^3*y) - (g2^3*t^7.248)/(g1*y) + t^7.584/(g1*g2^5*y) + (g1*g2*t^7.584)/y + (g1^3*g2^7*t^7.584)/y + (2*t^8.664)/(g1^6*g2^10*y) + (2*t^8.664)/(g1^4*g2^4*y) + (2*g2^2*t^8.664)/(g1^2*y) - (t^4.416*y)/(g1*g2) - (t^7.248*y)/(g1^5*g2^9) - (t^7.248*y)/(g1^3*g2^3) - (g2^3*t^7.248*y)/g1 + (t^7.584*y)/(g1*g2^5) + g1*g2*t^7.584*y + g1^3*g2^7*t^7.584*y + (2*t^8.664*y)/(g1^6*g2^10) + (2*t^8.664*y)/(g1^4*g2^4) + (2*g2^2*t^8.664*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 |
---|---|---|---|---|---|---|---|---|
46632 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ | 0.6999 | 0.852 | 0.8215 | [M:[0.9552, 0.9552, 1.0448, 0.9552, 1.0448], q:[0.4776, 0.5672], qb:[0.5672, 0.4776], phi:[0.4776]] | 3*t^2.866 + 3*t^3.134 + t^3.403 + 3*t^4.298 + 4*t^4.567 + 3*t^4.836 + 2*t^5.731 + t^6. - t^4.433/y - t^4.433*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 |
---|---|---|---|---|---|---|---|---|---|
46032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7126 | 0.866 | 0.8228 | [M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.706 + t^2.729 + t^2.751 + 2*t^3. + 2*t^3.542 + t^4.116 + 2*t^4.364 + 3*t^4.613 + t^4.658 + 2*t^4.907 + t^5.2 + t^5.413 + t^5.435 + t^5.458 + t^5.48 + t^5.503 + 2*t^5.729 - 3*t^6. - t^4.364/y - t^4.364*y | detail |