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 |
---|---|---|---|---|---|---|---|---|---|
878 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.644 | 0.812 | 0.7931 | [M:[0.8115, 1.1885, 0.8115, 0.6885, 1.3115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]] | [M:[[2], [-2], [2], [-2], [2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.435 + 2*t^2.533 + t^3. + 2*t^3.467 + 3*t^3.935 + 2*t^4.033 + t^4.131 + 3*t^4.869 + 4*t^4.967 + 3*t^5.065 + 2*t^5.435 + 2*t^5.533 + 2*t^5.902 - t^6. - 2*t^6.098 + 6*t^6.369 + 8*t^6.467 + 4*t^6.565 + 2*t^6.664 + 2*t^6.935 - 2*t^7.033 + 4*t^7.304 + 8*t^7.402 + 2*t^7.5 + 2*t^7.598 + 8*t^7.869 + 6*t^7.967 + 5*t^8.065 + 2*t^8.164 + t^8.262 + 2*t^8.336 - 6*t^8.435 - 8*t^8.533 - 4*t^8.631 + 9*t^8.804 + 12*t^8.902 - t^4.5/y - t^6.935/y + t^7.869/y + (4*t^7.967)/y + (2*t^8.065)/y + (2*t^8.435)/y + (2*t^8.533)/y + (4*t^8.902)/y - t^4.5*y - t^6.935*y + t^7.869*y + 4*t^7.967*y + 2*t^8.065*y + 2*t^8.435*y + 2*t^8.533*y + 4*t^8.902*y | 2*g1^2*t^2.435 + (2*t^2.533)/g1 + t^3. + 2*g1*t^3.467 + 3*g1^2*t^3.935 + (2*t^4.033)/g1 + t^4.131/g1^4 + 3*g1^4*t^4.869 + 4*g1*t^4.967 + (3*t^5.065)/g1^2 + 2*g1^2*t^5.435 + (2*t^5.533)/g1 + 2*g1^3*t^5.902 - t^6. - (2*t^6.098)/g1^3 + 6*g1^4*t^6.369 + 8*g1*t^6.467 + (4*t^6.565)/g1^2 + (2*t^6.664)/g1^5 + 2*g1^2*t^6.935 - (2*t^7.033)/g1 + 4*g1^6*t^7.304 + 8*g1^3*t^7.402 + 2*t^7.5 + (2*t^7.598)/g1^3 + 8*g1^4*t^7.869 + 6*g1*t^7.967 + (5*t^8.065)/g1^2 + (2*t^8.164)/g1^5 + t^8.262/g1^8 + 2*g1^5*t^8.336 - 6*g1^2*t^8.435 - (8*t^8.533)/g1 - (4*t^8.631)/g1^4 + 9*g1^6*t^8.804 + 12*g1^3*t^8.902 - t^4.5/y - (g1^2*t^6.935)/y + (g1^4*t^7.869)/y + (4*g1*t^7.967)/y + (2*t^8.065)/(g1^2*y) + (2*g1^2*t^8.435)/y + (2*t^8.533)/(g1*y) + (4*g1^3*t^8.902)/y - t^4.5*y - g1^2*t^6.935*y + g1^4*t^7.869*y + 4*g1*t^7.967*y + (2*t^8.065*y)/g1^2 + 2*g1^2*t^8.435*y + (2*t^8.533*y)/g1 + 4*g1^3*t^8.902*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 |
---|---|---|---|---|---|---|---|---|
2064 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6577 | 0.8352 | 0.7876 | [M:[0.8227, 1.1773, 0.8227, 0.6773, 1.3227, 0.8387], q:[0.75, 0.4273], qb:[0.4113, 0.4113], phi:[0.5]] | 2*t^2.468 + 3*t^2.516 + t^3. + t^3.484 + 3*t^3.968 + 2*t^4.016 + t^4.064 + 3*t^4.936 + 6*t^4.984 + 6*t^5.032 + 2*t^5.468 + 3*t^5.516 - 2*t^6. - t^4.5/y - t^4.5*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6647 | 0.8522 | 0.78 | [M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.056 + 2*t^2.444 + 2*t^2.528 + t^3. + 2*t^3.472 + 2*t^3.944 + 2*t^4.028 + 2*t^4.112 + 2*t^4.5 + 2*t^4.584 + 3*t^4.888 + 4*t^4.972 + 4*t^5.056 + 2*t^5.444 + 4*t^5.528 + 2*t^5.916 + t^6. - t^4.5/y - t^4.5*y | detail |