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 |
---|---|---|---|---|---|---|---|---|---|
4209 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6617 | 0.8373 | 0.7903 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.8571, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10895/16464, c: 6893/8232, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 6/7, M7: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$ | ${}M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 1 | 2*t^2.286 + 2*t^2.571 + t^2.857 + 2*t^3.143 + 2*t^3.714 + t^4. + 2*t^4.286 + 3*t^4.571 + 5*t^4.857 + 5*t^5.143 + 4*t^5.429 + 5*t^5.714 + t^6. + 6*t^6.286 + 3*t^6.571 + 7*t^6.857 + 7*t^7.143 + 11*t^7.429 + 9*t^7.714 + 9*t^8. + 6*t^8.286 + 4*t^8.571 + 9*t^8.857 - t^4.429/y - t^6.714/y - (2*t^7.)/y + t^7.286/y + (6*t^7.857)/y + (4*t^8.143)/y + (6*t^8.429)/y + (4*t^8.714)/y - t^4.429*y - t^6.714*y - 2*t^7.*y + t^7.286*y + 6*t^7.857*y + 4*t^8.143*y + 6*t^8.429*y + 4*t^8.714*y | 2*t^2.286 + 2*t^2.571 + t^2.857 + 2*t^3.143 + 2*t^3.714 + t^4. + 2*t^4.286 + 3*t^4.571 + 5*t^4.857 + 5*t^5.143 + 4*t^5.429 + 5*t^5.714 + t^6. + 6*t^6.286 + 3*t^6.571 + 7*t^6.857 + 7*t^7.143 + 11*t^7.429 + 9*t^7.714 + 9*t^8. + 6*t^8.286 + 4*t^8.571 + 9*t^8.857 - t^4.429/y - t^6.714/y - (2*t^7.)/y + t^7.286/y + (6*t^7.857)/y + (4*t^8.143)/y + (6*t^8.429)/y + (4*t^8.714)/y - t^4.429*y - t^6.714*y - 2*t^7.*y + t^7.286*y + 6*t^7.857*y + 4*t^8.143*y + 6*t^8.429*y + 4*t^8.714*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 |
---|---|---|---|---|---|---|---|---|
5699 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6573 | 0.8299 | 0.792 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.8571, 0.8571, 1.0476], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 2*t^2.286 + 2*t^2.571 + 3*t^3.143 + 2*t^3.714 + t^4. + 2*t^4.286 + 3*t^4.571 + 5*t^4.857 + 3*t^5.143 + 4*t^5.429 + 6*t^5.714 - t^6. - t^4.429/y - t^4.429*y | detail | {a: 773/1176, c: 122/147, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 6/7, M7: 6/7, M8: 22/21, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
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 |
---|---|---|---|---|---|---|---|---|---|
2210 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6492 | 0.8158 | 0.7957 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 2*t^2.286 + t^2.571 + t^2.857 + 2*t^3.143 + t^3.429 + 2*t^3.714 + t^4. + 2*t^4.286 + 3*t^4.571 + 3*t^4.857 + 3*t^5.143 + 3*t^5.429 + 5*t^5.714 + 2*t^6. - t^4.429/y - t^4.429*y | detail | {a: 668/1029, c: 1679/2058, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |