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 |
---|---|---|---|---|---|---|---|---|---|
46001 | SU2adj1nf2 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.6948 | 0.8554 | 0.8122 | [M:[0.9646, 0.9646], q:[0.5177, 0.5177], qb:[0.5177, 0.4469], phi:[0.5]] | [M:[[2], [2]], q:[[-1], [-1]], qb:[[-1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}q_{2}\tilde{q}_{1}$ | -5 | 5*t^2.894 + t^3. + t^3.106 + t^4.182 + 3*t^4.394 + 6*t^4.606 + 12*t^5.788 + 5*t^5.894 - 5*t^6. + t^6.106 - 2*t^6.212 + 5*t^7.076 + 10*t^7.288 + 15*t^7.5 + t^8.363 + 3*t^8.576 + 20*t^8.682 + 18*t^8.788 - 26*t^8.894 - t^4.5/y - (2*t^7.394)/y + (2*t^7.606)/y + (10*t^8.788)/y + (5*t^8.894)/y - t^4.5*y - 2*t^7.394*y + 2*t^7.606*y + 10*t^8.788*y + 5*t^8.894*y | 5*g1^2*t^2.894 + t^3. + t^3.106/g1^2 + g1^6*t^4.182 + 3*g1^2*t^4.394 + (6*t^4.606)/g1^2 + 12*g1^4*t^5.788 + 5*g1^2*t^5.894 - 5*t^6. + t^6.106/g1^2 - (2*t^6.212)/g1^4 + 5*g1^8*t^7.076 + 10*g1^4*t^7.288 + 15*t^7.5 + g1^12*t^8.363 + 3*g1^8*t^8.576 + 20*g1^6*t^8.682 + 18*g1^4*t^8.788 - 26*g1^2*t^8.894 - t^4.5/y - (2*g1^2*t^7.394)/y + (2*t^7.606)/(g1^2*y) + (10*g1^4*t^8.788)/y + (5*g1^2*t^8.894)/y - t^4.5*y - 2*g1^2*t^7.394*y + (2*t^7.606*y)/g1^2 + 10*g1^4*t^8.788*y + 5*g1^2*t^8.894*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 |
---|---|---|---|---|---|---|---|---|
46191 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6003 | 0.7357 | 0.8159 | [M:[1.1667, 1.1667], q:[0.4167, 0.4167], qb:[0.4167, 0.75], phi:[0.5]] | t^2.5 + t^3. + 5*t^3.5 + 6*t^4. + t^5. + t^5.5 - 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 461/768, c: 565/768, M1: 7/6, M2: 7/6, q1: 5/12, q2: 5/12, qb1: 5/12, qb2: 3/4, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
45925 | SU2adj1nf2 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6923 | 0.8496 | 0.8148 | [M:[0.9819], q:[0.5091, 0.5091], qb:[0.5091, 0.4728], phi:[0.5]] | 4*t^2.946 + t^3. + 2*t^3.054 + t^4.337 + 3*t^4.446 + 6*t^4.554 + 7*t^5.891 + 4*t^5.946 - 2*t^6. - t^4.5/y - t^4.5*y | detail |