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 |
---|---|---|---|---|---|---|---|---|---|
53432 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7033 | 0.8629 | 0.815 | [M:[0.964, 0.9281, 1.0719, 1.0, 0.9281, 0.964], q:[0.554, 0.482], qb:[0.5899, 0.446], phi:[0.482]] | [M:[[2], [4], [-4], [0], [4], [2]], q:[[-3], [1]], qb:[[-5], [3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$ | ${}$ | -3 | 2*t^2.784 + 3*t^2.892 + t^3. + t^3.432 + t^4.122 + t^4.23 + t^4.338 + t^4.446 + 2*t^4.554 + t^4.662 + t^4.77 + t^4.878 + t^4.986 + 2*t^5.568 + 4*t^5.676 + 7*t^5.784 + t^5.892 - 3*t^6. - 2*t^6.108 + t^6.324 + t^6.863 + 2*t^6.906 + 4*t^7.014 + 4*t^7.122 + 3*t^7.23 + 3*t^7.338 + 4*t^7.446 + 3*t^7.554 + t^7.662 + 2*t^7.77 + 2*t^7.878 - t^8.094 + t^8.201 + t^8.245 + t^8.309 + 3*t^8.353 + t^8.417 + 4*t^8.46 + 9*t^8.568 + 12*t^8.676 - 3*t^8.784 - 9*t^8.892 - t^4.446/y - t^7.23/y - (3*t^7.338)/y + (3*t^7.554)/y + t^7.662/y + t^8.568/y + (6*t^8.676)/y + (5*t^8.784)/y + (3*t^8.892)/y - t^4.446*y - t^7.23*y - 3*t^7.338*y + 3*t^7.554*y + t^7.662*y + t^8.568*y + 6*t^8.676*y + 5*t^8.784*y + 3*t^8.892*y | 2*g1^4*t^2.784 + 3*g1^2*t^2.892 + t^3. + t^3.432/g1^8 + g1^7*t^4.122 + g1^5*t^4.23 + g1^3*t^4.338 + g1*t^4.446 + (2*t^4.554)/g1 + t^4.662/g1^3 + t^4.77/g1^5 + t^4.878/g1^7 + t^4.986/g1^9 + 2*g1^8*t^5.568 + 4*g1^6*t^5.676 + 7*g1^4*t^5.784 + g1^2*t^5.892 - 3*t^6. - (2*t^6.108)/g1^2 + t^6.324/g1^6 + t^6.863/g1^16 + 2*g1^11*t^6.906 + 4*g1^9*t^7.014 + 4*g1^7*t^7.122 + 3*g1^5*t^7.23 + 3*g1^3*t^7.338 + 4*g1*t^7.446 + (3*t^7.554)/g1 + t^7.662/g1^3 + (2*t^7.77)/g1^5 + (2*t^7.878)/g1^7 - t^8.094/g1^11 + t^8.201/g1^13 + g1^14*t^8.245 + t^8.309/g1^15 + 3*g1^12*t^8.353 + t^8.417/g1^17 + 4*g1^10*t^8.46 + 9*g1^8*t^8.568 + 12*g1^6*t^8.676 - 3*g1^4*t^8.784 - 9*g1^2*t^8.892 - (g1*t^4.446)/y - (g1^5*t^7.23)/y - (3*g1^3*t^7.338)/y + (3*t^7.554)/(g1*y) + t^7.662/(g1^3*y) + (g1^8*t^8.568)/y + (6*g1^6*t^8.676)/y + (5*g1^4*t^8.784)/y + (3*g1^2*t^8.892)/y - g1*t^4.446*y - g1^5*t^7.23*y - 3*g1^3*t^7.338*y + (3*t^7.554*y)/g1 + (t^7.662*y)/g1^3 + g1^8*t^8.568*y + 6*g1^6*t^8.676*y + 5*g1^4*t^8.784*y + 3*g1^2*t^8.892*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 |
---|---|---|---|---|---|---|---|---|
56492 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6551 | 0.8218 | 0.7972 | [M:[0.8889, 0.7778, 1.2222, 1.0, 0.7778, 0.8889], q:[0.6667, 0.4444], qb:[0.7778, 0.3333], phi:[0.4444]] | 2*t^2.333 + 3*t^2.667 + t^3. + t^3.333 + t^3.667 + t^4. + 2*t^4.333 + 4*t^4.667 + 5*t^5. + 8*t^5.333 + 4*t^5.667 + 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 283/432, c: 355/432, M1: 8/9, M2: 7/9, M3: 11/9, M4: 1, M5: 7/9, M6: 8/9, q1: 2/3, q2: 4/9, qb1: 7/9, qb2: 1/3, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
48106 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}M_{5}$ | 0.7002 | 0.8574 | 0.8166 | [M:[0.9692, 0.9384, 1.0616, 1.0, 0.9384], q:[0.5462, 0.4846], qb:[0.577, 0.4538], phi:[0.4846]] | 2*t^2.815 + 2*t^2.908 + t^3. + t^3.092 + t^3.37 + t^4.176 + t^4.269 + t^4.361 + t^4.454 + 2*t^4.546 + t^4.639 + t^4.731 + t^4.824 + t^4.916 + 2*t^5.63 + 2*t^5.723 + 4*t^5.815 + 2*t^5.908 - t^6. - t^4.454/y - t^4.454*y | detail |