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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5776 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$ + ${ }M_{5}X_{1}$ | 0.6265 | 0.7863 | 0.7969 | [X:[1.4444], M:[0.7778, 1.1111, 1.0, 1.2222, 0.5556, 0.7778, 0.7778, 1.0], q:[0.5, 0.7222], qb:[0.2778, 0.7222], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 203/324, c: 1019/1296, X1: 13/9, M1: 7/9, M2: 10/9, M3: 1, M4: 11/9, M5: 5/9, M6: 7/9, M7: 7/9, M8: 1, q1: 1/2, q2: 13/18, qb1: 5/18, qb2: 13/18, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{8}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{3}M_{8}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 1 | 3*t^2.333 + 3*t^3. + t^3.333 + t^3.667 + 4*t^4.333 + 4*t^4.667 + 2*t^5. + 6*t^5.333 + 6*t^5.667 + t^6. + 2*t^6.333 + 7*t^6.667 + 4*t^7. + 8*t^7.333 + 7*t^7.667 + 13*t^8. - 4*t^8.333 + 14*t^8.667 - t^4.333/y - (2*t^6.667)/y + (3*t^7.667)/y + (2*t^8.)/y + (9*t^8.333)/y + (3*t^8.667)/y - t^4.333*y - 2*t^6.667*y + 3*t^7.667*y + 2*t^8.*y + 9*t^8.333*y + 3*t^8.667*y | 3*t^2.333 + 3*t^3. + t^3.333 + t^3.667 + 4*t^4.333 + 4*t^4.667 + 2*t^5. + 6*t^5.333 + 6*t^5.667 + t^6. + 2*t^6.333 + 7*t^6.667 + 4*t^7. + 8*t^7.333 + 7*t^7.667 + 13*t^8. - 4*t^8.333 + 14*t^8.667 - t^4.333/y - (2*t^6.667)/y + (3*t^7.667)/y + (2*t^8.)/y + (9*t^8.333)/y + (3*t^8.667)/y - t^4.333*y - 2*t^6.667*y + 3*t^7.667*y + 2*t^8.*y + 9*t^8.333*y + 3*t^8.667*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4330 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7323 | 0.9198 | 0.7962 | [M:[0.9203, 1.0399, 1.0, 1.0797, 0.8405, 0.9203, 0.9203, 0.6794], q:[0.5, 0.5797], qb:[0.4203, 0.5797], phi:[0.4801]] | t^2.038 + t^2.522 + 3*t^2.761 + 2*t^3. + t^3.12 + t^4.076 + t^4.201 + 3*t^4.44 + t^4.56 + 2*t^4.679 + 3*t^4.799 + 3*t^4.919 + 2*t^5.038 + t^5.043 + t^5.158 + 3*t^5.282 + 6*t^5.522 + t^5.641 + 3*t^5.761 + 3*t^5.88 - 3*t^6. - t^4.44/y - t^4.44*y | detail |