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 |
---|---|---|---|---|---|---|---|---|---|
3813 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.5628 | 0.6804 | 0.8271 | [X:[1.5294], M:[0.4706, 1.1765, 0.7059, 1.0588, 0.9412, 1.2941], q:[0.7941, 0.7353], qb:[0.5588, 0.2647], phi:[0.4118]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 22119/39304, c: 26743/39304, X1: 26/17, M1: 8/17, M2: 20/17, M3: 12/17, M4: 18/17, M5: 16/17, M6: 22/17, q1: 27/34, q2: 25/34, qb1: 19/34, qb2: 9/34, phi1: 7/17} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$ | ${}$ | 0 | t^2.471 + t^2.824 + t^3. + t^3.176 + t^3.529 + t^3.706 + t^3.882 + t^4.059 + t^4.235 + t^4.588 + t^4.941 + t^5.294 + 2*t^5.647 + t^6.176 + t^6.353 + t^6.529 + t^6.706 + t^6.882 + 3*t^7.059 + 2*t^7.412 + 2*t^7.588 + 2*t^7.765 + 3*t^8.118 + t^8.471 + 2*t^8.647 - t^8.824 - t^4.235/y + t^8.294/y + t^8.471/y + t^8.647/y + t^8.824/y - t^4.235*y + t^8.294*y + t^8.471*y + t^8.647*y + t^8.824*y | t^2.471 + t^2.824 + t^3. + t^3.176 + t^3.529 + t^3.706 + t^3.882 + t^4.059 + t^4.235 + t^4.588 + t^4.941 + t^5.294 + 2*t^5.647 + t^6.176 + t^6.353 + t^6.529 + t^6.706 + t^6.882 + 3*t^7.059 + 2*t^7.412 + 2*t^7.588 + 2*t^7.765 + 3*t^8.118 + t^8.471 + 2*t^8.647 - t^8.824 - t^4.235/y + t^8.294/y + t^8.471/y + t^8.647/y + t^8.824/y - t^4.235*y + t^8.294*y + t^8.471*y + t^8.647*y + t^8.824*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 |
---|---|---|---|---|---|---|---|---|
5385 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.5778 | 0.7064 | 0.8179 | [X:[1.5294], M:[0.4706, 1.1765, 0.7059, 1.0588, 0.9412, 1.2941, 0.8235], q:[0.7941, 0.7353], qb:[0.5588, 0.2647], phi:[0.4118]] | 2*t^2.471 + t^2.824 + t^3. + t^3.176 + t^3.706 + t^3.882 + t^4.059 + t^4.235 + t^4.588 + 3*t^4.941 + 2*t^5.294 + t^5.471 + 3*t^5.647 - t^6. - t^4.235/y - t^4.235*y | detail | {a: 45417/78608, c: 13883/19652, X1: 26/17, M1: 8/17, M2: 20/17, M3: 12/17, M4: 18/17, M5: 16/17, M6: 22/17, M7: 14/17, q1: 27/34, q2: 25/34, qb1: 19/34, qb2: 9/34, phi1: 7/17} |
5386 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5812 | 0.7135 | 0.8145 | [X:[1.5294], M:[0.4706, 1.1765, 0.7059, 1.0588, 0.9412, 1.2941, 0.7647], q:[0.7941, 0.7353], qb:[0.5588, 0.2647], phi:[0.4118]] | t^2.294 + t^2.471 + t^2.824 + t^3. + t^3.176 + t^3.529 + t^3.882 + t^4.059 + t^4.235 + 2*t^4.588 + t^4.765 + t^4.941 + t^5.118 + 2*t^5.294 + t^5.471 + 2*t^5.647 + t^5.824 - t^4.235/y - t^4.235*y | detail | {a: 11421/19652, c: 7011/9826, X1: 26/17, M1: 8/17, M2: 20/17, M3: 12/17, M4: 18/17, M5: 16/17, M6: 22/17, M7: 13/17, q1: 27/34, q2: 25/34, qb1: 19/34, qb2: 9/34, phi1: 7/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
3358 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[0.6541, 1.1153, 0.8078, 1.0384, 0.9616, 1.1922], q:[0.7788, 0.5671], qb:[0.6251, 0.2596], phi:[0.4423]] | t^2.48 + t^2.654 + t^2.885 + t^3.115 + t^3.346 + t^3.577 + t^3.807 + t^3.981 + t^4.038 + t^4.212 + t^4.73 + t^4.96 + t^5.134 + t^5.308 + t^5.365 + t^5.539 + t^5.595 + t^5.769 - t^6. - t^4.327/y - t^4.327*y | detail |