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 |
---|---|---|---|---|---|---|---|---|---|
56377 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6421 | 0.8009 | 0.8017 | [M:[0.8649, 1.1892, 1.1351, 0.7568, 0.8108, 1.1351], q:[0.3784, 0.7568], qb:[0.4324, 0.4865], phi:[0.4865]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 260193/405224, c: 40567/50653, M1: 32/37, M2: 44/37, M3: 42/37, M4: 28/37, M5: 30/37, M6: 42/37, q1: 14/37, q2: 28/37, qb1: 16/37, qb2: 18/37, phi1: 18/37} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$ | ${}$ | -1 | t^2.27 + t^2.432 + t^2.757 + t^2.919 + 2*t^3.405 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + t^4.865 + t^5.027 + 2*t^5.189 + t^5.351 + t^5.514 + 2*t^5.676 + 2*t^5.838 - t^6. + t^6.162 + 4*t^6.324 + 3*t^6.486 + 2*t^6.649 + 5*t^6.811 + 4*t^6.973 + 2*t^7.135 + 2*t^7.297 + 3*t^7.459 + 3*t^7.622 + 4*t^7.784 + 4*t^7.946 + 4*t^8.108 + 2*t^8.27 + t^8.432 + 3*t^8.595 + 2*t^8.757 - t^4.459/y - t^6.73/y + t^7.054/y - t^7.378/y + t^7.541/y + t^7.703/y - t^7.865/y + t^8.027/y + (3*t^8.189)/y + t^8.351/y + (3*t^8.676)/y + (3*t^8.838)/y - t^4.459*y - t^6.73*y + t^7.054*y - t^7.378*y + t^7.541*y + t^7.703*y - t^7.865*y + t^8.027*y + 3*t^8.189*y + t^8.351*y + 3*t^8.676*y + 3*t^8.838*y | t^2.27 + t^2.432 + t^2.757 + t^2.919 + 2*t^3.405 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + t^4.865 + t^5.027 + 2*t^5.189 + t^5.351 + t^5.514 + 2*t^5.676 + 2*t^5.838 - t^6. + t^6.162 + 4*t^6.324 + 3*t^6.486 + 2*t^6.649 + 5*t^6.811 + 4*t^6.973 + 2*t^7.135 + 2*t^7.297 + 3*t^7.459 + 3*t^7.622 + 4*t^7.784 + 4*t^7.946 + 4*t^8.108 + 2*t^8.27 + t^8.432 + 3*t^8.595 + 2*t^8.757 - t^4.459/y - t^6.73/y + t^7.054/y - t^7.378/y + t^7.541/y + t^7.703/y - t^7.865/y + t^8.027/y + (3*t^8.189)/y + t^8.351/y + (3*t^8.676)/y + (3*t^8.838)/y - t^4.459*y - t^6.73*y + t^7.054*y - t^7.378*y + t^7.541*y + t^7.703*y - t^7.865*y + t^8.027*y + 3*t^8.189*y + t^8.351*y + 3*t^8.676*y + 3*t^8.838*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 |
---|---|---|---|---|---|---|---|---|
58642 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6233 | 0.7669 | 0.8128 | [M:[0.8649, 1.1892, 1.1351, 0.7568, 0.8108, 1.1351, 1.2432], q:[0.3784, 0.7568], qb:[0.4324, 0.4865], phi:[0.4865]] | t^2.432 + t^2.757 + t^2.919 + 2*t^3.405 + t^3.568 + 2*t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.865 + t^5.189 + t^5.351 + t^5.514 + t^5.838 - 2*t^6. - t^4.459/y - t^4.459*y | detail | {a: 505185/810448, c: 310775/405224, M1: 32/37, M2: 44/37, M3: 42/37, M4: 28/37, M5: 30/37, M6: 42/37, M7: 46/37, q1: 14/37, q2: 28/37, qb1: 16/37, qb2: 18/37, phi1: 18/37} |
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 |
---|---|---|---|---|---|---|---|---|---|
52327 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6433 | 0.803 | 0.801 | [M:[0.8774, 1.1981, 1.1226, 0.7264, 0.8019, 1.1226], q:[0.3632, 0.7594], qb:[0.4387, 0.5142], phi:[0.4811]] | t^2.179 + t^2.406 + t^2.859 + t^2.887 + 2*t^3.368 + t^3.594 + t^3.622 + t^3.849 + 2*t^4.076 + t^4.302 + t^4.358 + t^4.529 + t^4.585 + t^4.811 + t^5.038 + t^5.066 + t^5.264 + t^5.292 + t^5.547 + t^5.717 + t^5.745 + 2*t^5.773 + t^5.802 - 2*t^6. - t^4.443/y - t^4.443*y | detail |