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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1165 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6366 | 0.7943 | 0.8014 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10481/16464, c: 6539/8232, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, 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 |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$ | ${}M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 1 | 2*t^2.286 + t^2.857 + 2*t^3.143 + 2*t^3.429 + 2*t^3.714 + t^4. + 2*t^4.286 + 3*t^4.571 + t^4.857 + 2*t^5.143 + 2*t^5.429 + 5*t^5.714 + t^6. + 4*t^6.286 + 5*t^6.571 + 6*t^6.857 + 5*t^7.143 + 5*t^7.429 + 5*t^7.714 + 8*t^8. + 6*t^8.571 + 3*t^8.857 - t^4.429/y - t^6.714/y + t^7.286/y + (3*t^8.143)/y + (4*t^8.429)/y + (4*t^8.714)/y - t^4.429*y - t^6.714*y + t^7.286*y + 3*t^8.143*y + 4*t^8.429*y + 4*t^8.714*y | 2*t^2.286 + t^2.857 + 2*t^3.143 + 2*t^3.429 + 2*t^3.714 + t^4. + 2*t^4.286 + 3*t^4.571 + t^4.857 + 2*t^5.143 + 2*t^5.429 + 5*t^5.714 + t^6. + 4*t^6.286 + 5*t^6.571 + 6*t^6.857 + 5*t^7.143 + 5*t^7.429 + 5*t^7.714 + 8*t^8. + 6*t^8.571 + 3*t^8.857 - t^4.429/y - t^6.714/y + t^7.286/y + (3*t^8.143)/y + (4*t^8.429)/y + (4*t^8.714)/y - t^4.429*y - t^6.714*y + t^7.286*y + 3*t^8.143*y + 4*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 |
---|---|---|---|---|---|---|---|---|
2212 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6551 | 0.8277 | 0.7915 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.7619], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 3*t^2.286 + t^2.857 + 2*t^3.143 + 2*t^3.429 + t^3.714 + t^4. + 2*t^4.286 + 6*t^4.571 + t^4.857 + 3*t^5.143 + 4*t^5.429 + 7*t^5.714 - t^4.429/y - t^4.429*y | detail | {a: 5393/8232, c: 3407/4116, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 16/21, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
2209 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ | 0.641 | 0.8017 | 0.7995 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.9524], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 2*t^2.286 + 2*t^2.857 + t^3.143 + 2*t^3.429 + 2*t^3.714 + t^4. + 2*t^4.286 + 3*t^4.571 + t^4.857 + 4*t^5.143 + 7*t^5.714 + t^6. - t^4.429/y - t^4.429*y | detail | {a: 1759/2744, c: 275/343, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 20/21, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
2208 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ | 0.6181 | 0.7609 | 0.8123 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 1.2381], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | t^2.286 + t^2.857 + 2*t^3.143 + 2*t^3.429 + 3*t^3.714 + t^4. + 2*t^4.286 + t^4.571 + t^4.857 + t^5.143 + 3*t^5.714 - t^4.429/y - t^4.429*y | detail | {a: 212/343, c: 261/343, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 26/21, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
2210 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 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} |
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 |
---|---|---|---|---|---|---|---|---|---|
712 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.658 | 0.8173 | 0.8051 | [M:[1.1372, 1.098, 0.9215, 0.8628, 0.6863], q:[0.7745, 0.3431], qb:[0.5196, 0.5588], phi:[0.451]] | t^2.059 + t^2.588 + t^2.706 + t^2.765 + t^3.294 + t^3.353 + t^3.412 + t^3.882 + t^4. + t^4.059 + t^4.118 + t^4.471 + t^4.588 + t^4.647 + t^4.706 + t^4.765 + t^4.823 + t^5.177 + t^5.294 + t^5.353 + 2*t^5.412 + t^5.47 + t^5.529 + 2*t^5.941 - t^6. - t^4.353/y - t^4.353*y | detail |