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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4638 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7359 | 0.9287 | 0.7924 | [M:[1.0851, 0.7446, 0.8614, 0.9683, 1.0317, 0.798, 0.9149, 0.798], q:[0.5426, 0.3723], qb:[0.596, 0.6594], phi:[0.4574]] | [M:[[-2], [6], [15], [-11], [11], [-7], [2], [-7]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -3 | t^2.234 + 2*t^2.394 + t^2.584 + 2*t^2.745 + t^2.905 + t^3.095 + t^4.117 + t^4.277 + 2*t^4.467 + 3*t^4.628 + 4*t^4.788 + t^4.818 + t^4.948 + 5*t^4.978 + 5*t^5.139 + t^5.169 + 2*t^5.299 + 3*t^5.329 + 5*t^5.489 + t^5.649 + t^5.68 + t^5.84 - 3*t^6. - t^6.16 + t^6.671 + 2*t^6.701 + 5*t^6.861 + 7*t^7.022 + 2*t^7.052 + 7*t^7.182 + 7*t^7.212 + 2*t^7.342 + 10*t^7.372 + t^7.402 + 9*t^7.533 + 6*t^7.563 + 5*t^7.693 + 9*t^7.723 + t^7.753 + t^7.853 + 7*t^7.883 + 3*t^7.913 + t^8.043 + 6*t^8.073 - t^8.204 + t^8.264 - 8*t^8.394 + 2*t^8.424 - 3*t^8.554 - 3*t^8.584 - 9*t^8.745 - 5*t^8.905 + t^8.935 - t^4.372/y - t^6.606/y - (2*t^6.766)/y - t^6.957/y - t^7.117/y + (3*t^7.628)/y + (2*t^7.788)/y + t^7.818/y + (6*t^7.978)/y + (6*t^8.139)/y + (2*t^8.299)/y + (3*t^8.329)/y + (4*t^8.489)/y + (2*t^8.649)/y + t^8.68/y + t^8.84/y - t^4.372*y - t^6.606*y - 2*t^6.766*y - t^6.957*y - t^7.117*y + 3*t^7.628*y + 2*t^7.788*y + t^7.818*y + 6*t^7.978*y + 6*t^8.139*y + 2*t^8.299*y + 3*t^8.329*y + 4*t^8.489*y + 2*t^8.649*y + t^8.68*y + t^8.84*y | g1^6*t^2.234 + (2*t^2.394)/g1^7 + g1^15*t^2.584 + 2*g1^2*t^2.745 + t^2.905/g1^11 + g1^11*t^3.095 + g1^3*t^4.117 + t^4.277/g1^10 + 2*g1^12*t^4.467 + (3*t^4.628)/g1 + (4*t^4.788)/g1^14 + g1^21*t^4.818 + t^4.948/g1^27 + 5*g1^8*t^4.978 + (5*t^5.139)/g1^5 + g1^30*t^5.169 + (2*t^5.299)/g1^18 + 3*g1^17*t^5.329 + 5*g1^4*t^5.489 + t^5.649/g1^9 + g1^26*t^5.68 + g1^13*t^5.84 - 3*t^6. - t^6.16/g1^13 + t^6.671/g1^17 + 2*g1^18*t^6.701 + 5*g1^5*t^6.861 + (7*t^7.022)/g1^8 + 2*g1^27*t^7.052 + (7*t^7.182)/g1^21 + 7*g1^14*t^7.212 + (2*t^7.342)/g1^34 + 10*g1*t^7.372 + g1^36*t^7.402 + (9*t^7.533)/g1^12 + 6*g1^23*t^7.563 + (5*t^7.693)/g1^25 + 9*g1^10*t^7.723 + g1^45*t^7.753 + t^7.853/g1^38 + (7*t^7.883)/g1^3 + 3*g1^32*t^7.913 + t^8.043/g1^16 + 6*g1^19*t^8.073 - t^8.204/g1^29 + g1^41*t^8.264 - (8*t^8.394)/g1^7 + 2*g1^28*t^8.424 - (3*t^8.554)/g1^20 - 3*g1^15*t^8.584 - 9*g1^2*t^8.745 - (5*t^8.905)/g1^11 + g1^24*t^8.935 - (g1*t^4.372)/y - (g1^7*t^6.606)/y - (2*t^6.766)/(g1^6*y) - (g1^16*t^6.957)/y - (g1^3*t^7.117)/y + (3*t^7.628)/(g1*y) + (2*t^7.788)/(g1^14*y) + (g1^21*t^7.818)/y + (6*g1^8*t^7.978)/y + (6*t^8.139)/(g1^5*y) + (2*t^8.299)/(g1^18*y) + (3*g1^17*t^8.329)/y + (4*g1^4*t^8.489)/y + (2*t^8.649)/(g1^9*y) + (g1^26*t^8.68)/y + (g1^13*t^8.84)/y - g1*t^4.372*y - g1^7*t^6.606*y - (2*t^6.766*y)/g1^6 - g1^16*t^6.957*y - g1^3*t^7.117*y + (3*t^7.628*y)/g1 + (2*t^7.788*y)/g1^14 + g1^21*t^7.818*y + 6*g1^8*t^7.978*y + (6*t^8.139*y)/g1^5 + (2*t^8.299*y)/g1^18 + 3*g1^17*t^8.329*y + 4*g1^4*t^8.489*y + (2*t^8.649*y)/g1^9 + g1^26*t^8.68*y + g1^13*t^8.84*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2556 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.7194 | 0.9002 | 0.7992 | [M:[1.087, 0.739, 0.8475, 0.9785, 1.0215, 0.8045, 0.913], q:[0.5435, 0.3695], qb:[0.609, 0.652], phi:[0.4565]] | t^2.217 + t^2.413 + t^2.543 + 2*t^2.739 + t^2.935 + t^3.065 + t^3.587 + t^4.109 + t^4.305 + 2*t^4.434 + 2*t^4.63 + t^4.76 + 2*t^4.827 + 4*t^4.956 + t^5.023 + t^5.085 + 3*t^5.152 + 3*t^5.282 + t^5.349 + 4*t^5.478 + t^5.607 + t^5.674 + 2*t^5.804 - 2*t^6. - t^4.37/y - t^4.37*y | detail | {a: 1723997/2396304, c: 1078525/1198152, M1: 1262/1161, M2: 286/387, M3: 328/387, M4: 1136/1161, M5: 1186/1161, M6: 934/1161, M7: 1060/1161, q1: 631/1161, q2: 143/387, qb1: 707/1161, qb2: 757/1161, phi1: 530/1161} |