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 |
---|---|---|---|---|---|---|---|---|---|
798 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ | 0.7292 | 0.8958 | 0.814 | [M:[0.8889, 1.0, 0.7778, 1.0, 0.8889], q:[0.5556, 0.5556], qb:[0.4444, 0.6667], phi:[0.4444]] | [M:[[-2], [0], [-4], [0], [-2]], q:[[1], [1]], qb:[[-1], [3]], phi:[[-1]]] | 1 | {a: 35/48, c: 43/48, M1: 8/9, M2: 1, M3: 7/9, M4: 1, M5: 8/9, q1: 5/9, q2: 5/9, qb1: 4/9, qb2: 2/3, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{2}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | -2 | t^2.333 + 3*t^2.667 + 2*t^3. + t^3.667 + t^4. + 2*t^4.333 + 5*t^4.667 + 5*t^5. + 8*t^5.333 + 2*t^5.667 - 2*t^6. + 4*t^6.667 + 9*t^7. + 15*t^7.333 + 13*t^7.667 + 10*t^8. - 8*t^8.667 - t^4.333/y - t^6.667/y - (3*t^7.)/y + (3*t^7.667)/y + (4*t^8.)/y + (5*t^8.333)/y + (6*t^8.667)/y - t^4.333*y - t^6.667*y - 3*t^7.*y + 3*t^7.667*y + 4*t^8.*y + 5*t^8.333*y + 6*t^8.667*y | t^2.333/g1^4 + (3*t^2.667)/g1^2 + 2*t^3. + g1^4*t^3.667 + t^4./g1^3 + (2*t^4.333)/g1 + t^4.667/g1^8 + 4*g1*t^4.667 + (3*t^5.)/g1^6 + 2*g1^3*t^5. + (7*t^5.333)/g1^4 + g1^5*t^5.333 + (2*t^5.667)/g1^2 - 2*t^6. + t^6.333/g1^7 - g1^2*t^6.333 + (4*t^6.667)/g1^5 + t^7./g1^12 + (8*t^7.)/g1^3 + (3*t^7.333)/g1^10 + (11*t^7.333)/g1 + g1^8*t^7.333 + (7*t^7.667)/g1^8 + 6*g1*t^7.667 + (11*t^8.)/g1^6 - g1^3*t^8. + t^8.667/g1^11 - (9*t^8.667)/g1^2 - t^4.333/(g1*y) - t^6.667/(g1^5*y) - (3*t^7.)/(g1^3*y) + (3*g1*t^7.667)/y + (3*t^8.)/(g1^6*y) + (g1^3*t^8.)/y + (5*t^8.333)/(g1^4*y) + (6*t^8.667)/(g1^2*y) - (t^4.333*y)/g1 - (t^6.667*y)/g1^5 - (3*t^7.*y)/g1^3 + 3*g1*t^7.667*y + (3*t^8.*y)/g1^6 + g1^3*t^8.*y + (5*t^8.333*y)/g1^4 + (6*t^8.667*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
1276 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.7125 | 0.866 | 0.8228 | [M:[0.9101, 1.0, 0.8202, 1.0, 0.9101, 1.1798], q:[0.5449, 0.5449], qb:[0.4551, 0.6348], phi:[0.4551]] | 3*t^2.73 + 2*t^3. + 2*t^3.539 + t^4.095 + 2*t^4.365 + 4*t^4.635 + 2*t^4.905 + t^5.174 + 5*t^5.461 + 2*t^5.73 - 3*t^6. - t^4.365/y - t^4.365*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 |
---|---|---|---|---|---|---|---|---|---|
512 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7466 | 0.9183 | 0.813 | [M:[0.8355, 0.8355, 0.8355, 1.0, 0.8355], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | 5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. - t^4.253/y - t^4.253*y | detail |