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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1655 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}q_{2}$ | 0.5253 | 0.6558 | 0.801 | [X:[1.4264], M:[0.8681, 1.2352, 0.5736, 0.8528, 0.7648, 1.1472, 0.956], q:[0.8088, 0.2352], qb:[0.8967, 0.5297], phi:[0.3824]] | [X:[[3]], M:[[-15], [4], [-3], [6], [-4], [-6], [-5]], q:[[1], [4]], qb:[[11], [-8]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.294 + t^2.558 + t^2.604 + t^2.868 + t^3.442 + t^4.279 + t^4.325 + t^4.543 + 3*t^4.589 + 2*t^4.853 + t^4.899 + t^5.117 + 2*t^5.163 + t^5.209 + t^5.426 + t^5.472 + 2*t^5.736 - 2*t^6. - 2*t^6.264 + t^6.528 + t^6.574 + 3*t^6.62 + t^6.837 + 5*t^6.883 + t^6.93 + 2*t^7.147 + 2*t^7.193 + t^7.411 + 2*t^7.457 + t^7.503 + 2*t^7.721 + 2*t^7.767 + t^7.813 - t^7.985 + 3*t^8.031 + t^8.077 - 2*t^8.248 - 3*t^8.294 - 5*t^8.558 - t^8.604 + t^8.65 + t^8.822 - 2*t^8.868 + 3*t^8.914 - t^4.147/y - t^6.442/y - t^6.752/y - t^7.015/y + t^7.279/y + t^7.543/y + t^7.589/y + (3*t^7.853)/y + (2*t^7.899)/y + (3*t^8.163)/y + t^8.426/y + t^8.472/y + t^8.736/y - t^4.147*y - t^6.442*y - t^6.752*y - t^7.015*y + t^7.279*y + t^7.543*y + t^7.589*y + 3*t^7.853*y + 2*t^7.899*y + 3*t^8.163*y + t^8.426*y + t^8.472*y + t^8.736*y | (2*t^2.294)/g1^4 + g1^6*t^2.558 + t^2.604/g1^15 + t^2.868/g1^5 + t^3.442/g1^6 + g1^3*t^4.279 + t^4.325/g1^18 + g1^13*t^4.543 + (3*t^4.589)/g1^8 + 2*g1^2*t^4.853 + t^4.899/g1^19 + g1^12*t^5.117 + (2*t^5.163)/g1^9 + t^5.209/g1^30 + g1*t^5.426 + t^5.472/g1^20 + (2*t^5.736)/g1^10 - 2*t^6. - 2*g1^10*t^6.264 + g1^20*t^6.528 + t^6.574/g1 + (3*t^6.62)/g1^22 + g1^9*t^6.837 + (5*t^6.883)/g1^12 + t^6.93/g1^33 + (2*t^7.147)/g1^2 + (2*t^7.193)/g1^23 + g1^8*t^7.411 + (2*t^7.457)/g1^13 + t^7.503/g1^34 + (2*t^7.721)/g1^3 + (2*t^7.767)/g1^24 + t^7.813/g1^45 - g1^7*t^7.985 + (3*t^8.031)/g1^14 + t^8.077/g1^35 - 2*g1^17*t^8.248 - (3*t^8.294)/g1^4 - 5*g1^6*t^8.558 - t^8.604/g1^15 + t^8.65/g1^36 + g1^16*t^8.822 - (2*t^8.868)/g1^5 + (3*t^8.914)/g1^26 - t^4.147/(g1^2*y) - t^6.442/(g1^6*y) - t^6.752/(g1^17*y) - t^7.015/(g1^7*y) + (g1^3*t^7.279)/y + (g1^13*t^7.543)/y + t^7.589/(g1^8*y) + (3*g1^2*t^7.853)/y + (2*t^7.899)/(g1^19*y) + (3*t^8.163)/(g1^9*y) + (g1*t^8.426)/y + t^8.472/(g1^20*y) + t^8.736/(g1^10*y) - (t^4.147*y)/g1^2 - (t^6.442*y)/g1^6 - (t^6.752*y)/g1^17 - (t^7.015*y)/g1^7 + g1^3*t^7.279*y + g1^13*t^7.543*y + (t^7.589*y)/g1^8 + 3*g1^2*t^7.853*y + (2*t^7.899*y)/g1^19 + (3*t^8.163*y)/g1^9 + g1*t^8.426*y + (t^8.472*y)/g1^20 + (t^8.736*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
4053 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ | 0.4822 | 0.6006 | 0.8028 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 1.0526], q:[0.7895, 0.1579], qb:[0.6842, 0.6842], phi:[0.4211]] | t^2.211 + 2*t^2.526 + t^3.158 + t^3.474 + 2*t^3.789 + t^4.105 + t^4.421 + 2*t^4.737 + 3*t^5.053 + 3*t^5.368 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 6615/13718, c: 16479/27436, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 20/19, q1: 15/19, q2: 3/19, qb1: 13/19, qb2: 13/19, phi1: 8/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
1061 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ | 0.5217 | 0.6488 | 0.804 | [X:[1.4208], M:[0.8962, 1.2277, 0.5792, 0.8415, 0.7723, 1.1585], q:[0.8069, 0.2277], qb:[0.8761, 0.5447], phi:[0.3862]] | 2*t^2.317 + t^2.525 + t^2.689 + t^3.104 + t^3.475 + t^4.262 + t^4.426 + t^4.47 + 3*t^4.634 + 2*t^4.842 + t^5.006 + t^5.049 + t^5.377 + 2*t^5.421 + t^5.628 + 2*t^5.792 - 2*t^6. - t^4.158/y - t^4.158*y | detail |