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 |
---|---|---|---|---|---|---|---|---|---|
2007 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6373 | 0.7901 | 0.8066 | [M:[0.8889, 0.7778, 1.0, 1.2222, 0.8889], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 413/648, c: 64/81, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 8/9, q1: 7/9, q2: 1/3, qb1: 4/9, qb2: 2/3, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 2 | t^2.333 + 3*t^2.667 + t^3. + t^3.333 + 2*t^3.667 + t^4. + 2*t^4.333 + 2*t^4.667 + 2*t^5. + 7*t^5.333 + 3*t^5.667 + 2*t^6. + 4*t^6.333 + 3*t^6.667 + 4*t^7. + 5*t^7.333 + 5*t^7.667 + 13*t^8. + 4*t^8.333 + 2*t^8.667 - t^4.333/y - (3*t^7.)/y + (3*t^7.667)/y + (3*t^8.)/y + (4*t^8.333)/y + (4*t^8.667)/y - t^4.333*y - 3*t^7.*y + 3*t^7.667*y + 3*t^8.*y + 4*t^8.333*y + 4*t^8.667*y | t^2.333 + 3*t^2.667 + t^3. + t^3.333 + 2*t^3.667 + t^4. + 2*t^4.333 + 2*t^4.667 + 2*t^5. + 7*t^5.333 + 3*t^5.667 + 2*t^6. + 4*t^6.333 + 3*t^6.667 + 4*t^7. + 5*t^7.333 + 5*t^7.667 + 13*t^8. + 4*t^8.333 + 2*t^8.667 - t^4.333/y - (3*t^7.)/y + (3*t^7.667)/y + (3*t^8.)/y + (4*t^8.333)/y + (4*t^8.667)/y - t^4.333*y - 3*t^7.*y + 3*t^7.667*y + 3*t^8.*y + 4*t^8.333*y + 4*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 |
---|---|---|---|---|---|---|---|---|
3051 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6474 | 0.8071 | 0.8021 | [M:[0.8889, 0.7778, 1.0, 1.2222, 0.8889, 0.8889], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | t^2.333 + 4*t^2.667 + t^3. + 2*t^3.667 + t^4. + 2*t^4.333 + 2*t^4.667 + 3*t^5. + 11*t^5.333 + 3*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 839/1296, c: 523/648, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 8/9, M6: 8/9, q1: 7/9, q2: 1/3, qb1: 4/9, qb2: 2/3, 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 |
---|---|---|---|---|---|---|---|---|---|
799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6976 | 0.853 | 0.8178 | [M:[0.9741, 0.9483, 1.0, 1.0517, 0.9741], q:[0.5647, 0.4612], qb:[0.4871, 0.5388], phi:[0.4871]] | t^2.845 + 3*t^2.922 + t^3. + t^3.155 + t^3.31 + t^4.228 + t^4.306 + t^4.384 + t^4.461 + 2*t^4.539 + t^4.616 + t^4.694 + t^4.772 + t^4.849 + t^5.767 + 6*t^5.845 + t^5.922 - 2*t^6. - t^4.461/y - t^4.461*y | detail |