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 |
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2088 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.6075 | 0.7575 | 0.802 | [X:[1.6], M:[1.2, 0.4, 0.8667, 0.7333, 1.0, 0.8], q:[0.4667, 0.3333], qb:[0.6667, 0.9333], phi:[0.4]] | [X:[[0]], M:[[0], [0], [2], [-2], [0], [0]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 243/400, c: 303/400, X1: 8/5, M1: 6/5, M2: 2/5, M3: 13/15, M4: 11/15, M5: 1, M6: 4/5, q1: 7/15, q2: 1/3, qb1: 2/3, qb2: 14/15, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$ | ${}M_{6}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.2 + 2*t^2.4 + t^2.6 + t^3. + t^3.2 + t^3.6 + t^4. + t^4.2 + t^4.4 + 2*t^4.6 + 5*t^4.8 + 2*t^5. + 2*t^5.2 + 2*t^5.4 + 2*t^5.6 + t^5.8 + 2*t^6.2 + 3*t^6.4 + 2*t^6.6 + 2*t^6.8 + 4*t^7. + 6*t^7.2 + 5*t^7.4 + 3*t^7.6 + 3*t^7.8 + 4*t^8. + t^8.4 + 4*t^8.8 - t^4.2/y - t^6.4/y - t^6.6/y - t^6.8/y + (3*t^7.6)/y + (3*t^7.8)/y + (3*t^8.)/y + t^8.2/y + (3*t^8.4)/y + (2*t^8.6)/y + t^8.8/y - t^4.2*y - t^6.4*y - t^6.6*y - t^6.8*y + 3*t^7.6*y + 3*t^7.8*y + 3*t^8.*y + t^8.2*y + 3*t^8.4*y + 2*t^8.6*y + t^8.8*y | t^2.2/g1^2 + 2*t^2.4 + g1^2*t^2.6 + t^3. + g1^2*t^3.2 + t^3.6 + t^4./g1^2 + t^4.2 + t^4.4/g1^4 + (2*t^4.6)/g1^2 + 5*t^4.8 + 2*g1^2*t^5. + t^5.2/g1^2 + g1^4*t^5.2 + 2*t^5.4 + 2*g1^2*t^5.6 + g1^4*t^5.8 + t^6.2/g1^4 + g1^2*t^6.2 + (2*t^6.4)/g1^2 + g1^4*t^6.4 + t^6.6 + t^6.6/g1^6 + (2*t^6.8)/g1^4 + (4*t^7.)/g1^2 + 6*t^7.2 + t^7.4/g1^4 + 4*g1^2*t^7.4 + t^7.6/g1^2 + 2*g1^4*t^7.6 + 2*t^7.8 + g1^6*t^7.8 + t^8./g1^4 + 3*g1^2*t^8. - (2*t^8.2)/g1^2 + 2*g1^4*t^8.2 - t^8.4 + t^8.4/g1^6 + g1^6*t^8.4 + (2*t^8.6)/g1^4 - 2*g1^2*t^8.6 + t^8.8/g1^8 + t^8.8/g1^2 + 2*g1^4*t^8.8 - t^4.2/y - t^6.4/(g1^2*y) - t^6.6/y - (g1^2*t^6.8)/y + (3*t^7.6)/(g1^2*y) + (3*t^7.8)/y + (3*g1^2*t^8.)/y + t^8.2/(g1^2*y) + (3*t^8.4)/y - t^8.6/(g1^4*y) + (3*g1^2*t^8.6)/y + (g1^4*t^8.8)/y - t^4.2*y - (t^6.4*y)/g1^2 - t^6.6*y - g1^2*t^6.8*y + (3*t^7.6*y)/g1^2 + 3*t^7.8*y + 3*g1^2*t^8.*y + (t^8.2*y)/g1^2 + 3*t^8.4*y - (t^8.6*y)/g1^4 + 3*g1^2*t^8.6*y + g1^4*t^8.8*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 |
---|---|---|---|---|---|---|---|---|
3149 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6155 | 0.7723 | 0.797 | [X:[1.6], M:[1.2, 0.4, 0.9081, 0.6919, 1.0, 0.8, 0.8919], q:[0.446, 0.354], qb:[0.646, 0.954], phi:[0.4]] | t^2.076 + 2*t^2.4 + t^2.676 + t^2.724 + t^3. + t^3.6 + t^3.876 + t^4.151 + t^4.2 + 2*t^4.476 + t^4.751 + 5*t^4.8 + 3*t^5.076 + 2*t^5.124 + t^5.351 + 2*t^5.4 + t^5.449 + t^5.676 + t^5.951 - 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 |
---|---|---|---|---|---|---|---|---|---|
934 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.7172 | 0.8839 | 0.8115 | [M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]] | t^2.401 + t^2.776 + 2*t^2.8 + t^2.825 + t^3. + t^3.399 + t^4.026 + t^4.201 + t^4.375 + t^4.4 + t^4.575 + t^4.625 + t^4.774 + t^4.799 + t^4.803 + t^4.999 + t^5.177 + 2*t^5.202 + t^5.223 + t^5.227 + t^5.551 + t^5.576 + 4*t^5.601 + t^5.626 + t^5.651 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail |