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 |
---|---|---|---|---|---|---|---|---|---|
2098 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ | 0.57 | 0.695 | 0.8201 | [X:[1.6, 1.4], M:[0.4, 1.2, 0.6, 1.0, 1.0, 0.8], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | [X:[[0], [1]], M:[[0], [0], [-1], [1], [-1], [0]], q:[[0], [0]], qb:[[1], [-1]], phi:[[0]]] | 1 | {a: 57/100, c: 139/200, X1: 8/5, X2: 7/5, M1: 2/5, M2: 6/5, M3: 3/5, M4: 1, M5: 1, M6: 4/5, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{1}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | ${}M_{4}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}^{2}q_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | 4 | 2*t^2.4 + 2*t^3. + 3*t^3.6 + 2*t^4.2 + 4*t^4.8 + 2*t^5.4 + 4*t^6. + 4*t^6.6 + 7*t^7.2 + 4*t^7.8 + 4*t^8.4 - t^4.2/y - t^6.6/y + (2*t^7.8)/y + (4*t^8.4)/y - t^4.2*y - t^6.6*y + 2*t^7.8*y + 4*t^8.4*y | 2*t^2.4 + t^3./g1 + g1*t^3. + t^3.6 + t^3.6/g1^2 + g1^2*t^3.6 + t^4.2/g1 + g1*t^4.2 + 4*t^4.8 + t^5.4/g1 + g1*t^5.4 + (2*t^6.)/g1^2 + 2*g1^2*t^6. + t^6.6/g1^3 + t^6.6/g1 + g1*t^6.6 + g1^3*t^6.6 + 5*t^7.2 + t^7.2/g1^4 + g1^4*t^7.2 + t^7.8/g1^3 + t^7.8/g1 + g1*t^7.8 + g1^3*t^7.8 - 2*t^8.4 + (3*t^8.4)/g1^2 + 3*g1^2*t^8.4 - t^4.2/y - t^6.6/y + (2*t^7.8)/y + (2*t^8.4)/(g1*y) + (2*g1*t^8.4)/y - t^4.2*y - t^6.6*y + 2*t^7.8*y + (2*t^8.4*y)/g1 + 2*g1*t^8.4*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 |
---|---|---|---|---|---|---|---|---|
3168 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5865 | 0.724 | 0.8101 | [X:[1.6, 1.4], M:[0.4, 1.2, 0.6, 1.0, 1.0, 0.8, 0.8], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | 3*t^2.4 + 2*t^3. + 2*t^3.6 + 2*t^4.2 + 7*t^4.8 + 4*t^5.4 + 4*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1173/2000, c: 181/250, X1: 8/5, X2: 7/5, M1: 2/5, M2: 6/5, M3: 3/5, M4: 1, M5: 1, M6: 4/5, M7: 4/5, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
3170 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.5878 | 0.728 | 0.8074 | [X:[1.6, 1.3784], M:[0.4, 1.2, 0.6216, 0.9784, 1.0216, 0.8, 0.7567], q:[1.0, 0.6], qb:[0.3784, 0.4216], phi:[0.4]] | t^2.27 + 2*t^2.4 + t^2.935 + t^3.065 + t^3.47 + t^3.6 + t^4.135 + t^4.265 + t^4.54 + 2*t^4.67 + 4*t^4.8 + t^5.205 + 2*t^5.335 + t^5.465 + t^5.74 + 3*t^5.87 - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
959 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.7153 | 0.8822 | 0.8108 | [M:[0.822, 1.0593, 0.8597, 1.0216, 0.9784, 0.9407], q:[0.6484, 0.5297], qb:[0.4919, 0.4488], phi:[0.4703]] | t^2.466 + t^2.579 + 2*t^2.822 + t^2.935 + t^3.065 + t^3.291 + t^4.103 + t^4.233 + t^4.346 + t^4.362 + t^4.476 + t^4.589 + t^4.702 + t^4.832 + t^4.932 + t^4.945 + t^5.045 + t^5.158 + 2*t^5.288 + t^5.301 + 2*t^5.401 + t^5.514 + 3*t^5.644 + 2*t^5.757 + t^5.871 + t^5.887 - 3*t^6. - t^4.411/y - t^4.411*y | detail |