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 |
---|---|---|---|---|---|---|---|---|---|
760 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{1}M_{5}$ | 0.5735 | 0.7428 | 0.772 | [M:[1.1397, 0.7206, 0.7206, 1.0, 0.8603], q:[0.5754, 0.9945], qb:[0.2849, 0.4246], phi:[0.4302]] | [M:[[4], [-8], [-8], [0], [-4]], q:[[-5], [7]], qb:[[1], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 1 | t^2.129 + 2*t^2.162 + 2*t^2.581 + 2*t^3. + t^3.419 + 2*t^4.257 + 2*t^4.29 + 3*t^4.324 + 3*t^4.71 + 4*t^4.743 + 2*t^5.129 + 6*t^5.162 + t^5.548 + 4*t^5.581 + t^6. + 2*t^6.386 + 2*t^6.419 + 2*t^6.452 + 4*t^6.485 + 2*t^6.838 + 4*t^6.871 + 6*t^6.905 + 2*t^7.257 + 5*t^7.29 + 10*t^7.324 + t^7.676 + 2*t^7.71 + 9*t^7.743 - t^8.129 + 2*t^8.162 + 3*t^8.515 + 2*t^8.614 + 5*t^8.647 + 2*t^8.967 - t^4.29/y - (2*t^6.452)/y - t^6.871/y + (2*t^7.29)/y + t^7.324/y + (3*t^7.71)/y + (4*t^7.743)/y + (4*t^8.129)/y + (5*t^8.162)/y + t^8.548/y + (6*t^8.581)/y - (3*t^8.614)/y - t^4.29*y - 2*t^6.452*y - t^6.871*y + 2*t^7.29*y + t^7.324*y + 3*t^7.71*y + 4*t^7.743*y + 4*t^8.129*y + 5*t^8.162*y + t^8.548*y + 6*t^8.581*y - 3*t^8.614*y | g1^6*t^2.129 + (2*t^2.162)/g1^8 + (2*t^2.581)/g1^4 + 2*t^3. + g1^4*t^3.419 + 2*g1^12*t^4.257 + (2*t^4.29)/g1^2 + (3*t^4.324)/g1^16 + 3*g1^2*t^4.71 + (4*t^4.743)/g1^12 + 2*g1^6*t^5.129 + (6*t^5.162)/g1^8 + g1^10*t^5.548 + (4*t^5.581)/g1^4 + t^6. + 2*g1^18*t^6.386 + 2*g1^4*t^6.419 + (2*t^6.452)/g1^10 + (4*t^6.485)/g1^24 + 2*g1^8*t^6.838 + (4*t^6.871)/g1^6 + (6*t^6.905)/g1^20 + 2*g1^12*t^7.257 + (5*t^7.29)/g1^2 + (10*t^7.324)/g1^16 + g1^16*t^7.676 + 2*g1^2*t^7.71 + (9*t^7.743)/g1^12 - g1^6*t^8.129 + (2*t^8.162)/g1^8 + 3*g1^24*t^8.515 + (2*t^8.614)/g1^18 + (5*t^8.647)/g1^32 + 2*g1^14*t^8.967 - t^4.29/(g1^2*y) - (2*t^6.452)/(g1^10*y) - t^6.871/(g1^6*y) + (2*t^7.29)/(g1^2*y) + t^7.324/(g1^16*y) + (3*g1^2*t^7.71)/y + (4*t^7.743)/(g1^12*y) + (4*g1^6*t^8.129)/y + (5*t^8.162)/(g1^8*y) + (g1^10*t^8.548)/y + (6*t^8.581)/(g1^4*y) - (3*t^8.614)/(g1^18*y) - (t^4.29*y)/g1^2 - (2*t^6.452*y)/g1^10 - (t^6.871*y)/g1^6 + (2*t^7.29*y)/g1^2 + (t^7.324*y)/g1^16 + 3*g1^2*t^7.71*y + (4*t^7.743*y)/g1^12 + 4*g1^6*t^8.129*y + (5*t^8.162*y)/g1^8 + g1^10*t^8.548*y + (6*t^8.581*y)/g1^4 - (3*t^8.614*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
1242 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5861 | 0.7654 | 0.7658 | [M:[1.1472, 0.7055, 0.7055, 1.0, 0.8528, 0.8528], q:[0.566, 1.0077], qb:[0.2868, 0.434], phi:[0.4264]] | 2*t^2.117 + t^2.163 + 3*t^2.558 + 2*t^3. + 3*t^4.233 + 2*t^4.279 + 2*t^4.325 + 6*t^4.675 + 4*t^4.721 + 9*t^5.117 + 2*t^5.163 + 4*t^5.558 - t^6. - t^4.279/y - t^4.279*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
471 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$ | 0.5615 | 0.7218 | 0.7778 | [M:[1.1317, 0.7365, 0.7365, 1.0], q:[0.5853, 0.9805], qb:[0.2829, 0.4147], phi:[0.4341]] | t^2.093 + 2*t^2.21 + t^2.605 + 2*t^3. + 2*t^3.395 + 2*t^4.186 + 2*t^4.302 + 3*t^4.419 + 2*t^4.698 + 2*t^4.814 + 2*t^5.093 + 4*t^5.21 + 2*t^5.488 + 4*t^5.605 + t^6. - t^4.302/y - t^4.302*y | detail |