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 |
---|---|---|---|---|---|---|---|---|---|
4680 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6073 | 0.7782 | 0.7805 | [M:[0.8667, 1.0, 1.1333, 0.7333, 1.2667, 0.8667, 0.7333], q:[0.6333, 0.5], qb:[0.2333, 0.7667], phi:[0.4667]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 911/1500, c: 4669/6000, M1: 13/15, M2: 1, M3: 17/15, M4: 11/15, M5: 19/15, M6: 13/15, M7: 11/15, q1: 19/30, q2: 1/2, qb1: 7/30, qb2: 23/30, phi1: 7/15} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | 2*t^2.2 + 2*t^2.6 + 2*t^2.8 + t^3. + t^3.6 + t^4. + t^4.2 + 4*t^4.4 + 4*t^4.8 + 4*t^5. + 5*t^5.2 + 4*t^5.4 + 4*t^5.6 + 3*t^5.8 - 3*t^6. + 2*t^6.2 + t^6.4 + 6*t^6.6 + t^6.8 + 7*t^7. + 7*t^7.2 + 6*t^7.4 + 5*t^7.6 + 10*t^7.8 + 11*t^8. + t^8.2 + 7*t^8.4 - 4*t^8.6 + t^8.8 - t^4.4/y - t^6.6/y - t^7./y - t^7.2/y + t^7.4/y + t^7.6/y + (5*t^7.8)/y + (4*t^8.)/y + (4*t^8.2)/y + (4*t^8.4)/y + (3*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^6.6*y - t^7.*y - t^7.2*y + t^7.4*y + t^7.6*y + 5*t^7.8*y + 4*t^8.*y + 4*t^8.2*y + 4*t^8.4*y + 3*t^8.6*y + 3*t^8.8*y | 2*t^2.2 + 2*t^2.6 + 2*t^2.8 + t^3. + t^3.6 + t^4. + t^4.2 + 4*t^4.4 + 4*t^4.8 + 4*t^5. + 5*t^5.2 + 4*t^5.4 + 4*t^5.6 + 3*t^5.8 - 3*t^6. + 2*t^6.2 + t^6.4 + 6*t^6.6 + t^6.8 + 7*t^7. + 7*t^7.2 + 6*t^7.4 + 5*t^7.6 + 10*t^7.8 + 11*t^8. + t^8.2 + 7*t^8.4 - 4*t^8.6 + t^8.8 - t^4.4/y - t^6.6/y - t^7./y - t^7.2/y + t^7.4/y + t^7.6/y + (5*t^7.8)/y + (4*t^8.)/y + (4*t^8.2)/y + (4*t^8.4)/y + (3*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^6.6*y - t^7.*y - t^7.2*y + t^7.4*y + t^7.6*y + 5*t^7.8*y + 4*t^8.*y + 4*t^8.2*y + 4*t^8.4*y + 3*t^8.6*y + 3*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 |
---|---|---|---|---|---|---|---|---|
6255 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6238 | 0.8072 | 0.7729 | [M:[0.8667, 1.0, 1.1333, 0.7333, 1.2667, 0.8667, 0.7333, 0.8], q:[0.6333, 0.5], qb:[0.2333, 0.7667], phi:[0.4667]] | 2*t^2.2 + t^2.4 + 2*t^2.6 + 2*t^2.8 + t^3. + t^4. + t^4.2 + 4*t^4.4 + 2*t^4.6 + 5*t^4.8 + 6*t^5. + 7*t^5.2 + 5*t^5.4 + 4*t^5.6 + t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail | {a: 3743/6000, c: 4843/6000, M1: 13/15, M2: 1, M3: 17/15, M4: 11/15, M5: 19/15, M6: 13/15, M7: 11/15, M8: 4/5, q1: 19/30, q2: 1/2, qb1: 7/30, qb2: 23/30, phi1: 7/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
2596 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6973 | 0.8566 | 0.8141 | [M:[0.9724, 1.0, 1.0276, 0.9448, 1.0552, 0.9724, 0.9448], q:[0.5276, 0.5], qb:[0.4448, 0.5552], phi:[0.4931]] | 2*t^2.835 + 2*t^2.917 + t^2.959 + t^3. + t^3.248 + t^4.148 + t^4.314 + t^4.397 + 2*t^4.479 + t^4.562 + 2*t^4.645 + t^4.728 + t^4.81 + 2*t^5.669 + 3*t^5.752 + 2*t^5.793 + 3*t^5.835 + 2*t^5.876 + t^5.917 + t^5.959 - 3*t^6. - t^4.479/y - t^4.479*y | detail |