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 |
---|---|---|---|---|---|---|---|---|---|
46888 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6496 | 0.8576 | 0.7574 | [M:[0.951, 0.853, 0.951, 0.8184, 0.7205], q:[0.7378, 0.3112], qb:[0.4092, 0.4438], phi:[0.5245]] | [M:[[4], [12], [4], [-26], [-18]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.161 + t^2.265 + t^2.455 + 2*t^2.559 + 2*t^2.853 + t^3.441 + t^3.735 + t^4.029 + t^4.133 + t^4.236 + 3*t^4.323 + 2*t^4.427 + t^4.53 + 2*t^4.617 + 5*t^4.72 + 2*t^4.824 + t^4.911 + 6*t^5.014 + 5*t^5.118 + 2*t^5.308 + 4*t^5.412 + t^5.602 + 2*t^5.706 + 2*t^5.896 - t^6. - t^6.104 + 3*t^6.19 + 3*t^6.294 + t^6.398 + 5*t^6.484 + t^6.501 + 6*t^6.588 + 3*t^6.692 + 3*t^6.778 + 3*t^6.795 + 8*t^6.882 + 4*t^6.986 + 2*t^7.072 + 3*t^7.089 + 10*t^7.176 + 8*t^7.28 + t^7.366 + 4*t^7.383 + 6*t^7.47 + 9*t^7.573 + 6*t^7.677 + 4*t^7.764 + 5*t^7.867 + 6*t^7.971 + 3*t^8.058 - 2*t^8.161 + 5*t^8.352 + t^8.473 - 4*t^8.559 + 8*t^8.645 - t^8.663 + 9*t^8.749 + t^8.767 - 2*t^8.853 + 5*t^8.939 + t^8.957 - t^4.573/y - t^6.735/y - t^7.029/y - t^7.133/y + t^7.323/y + t^7.427/y + (2*t^7.617)/y + (6*t^7.72)/y + (2*t^7.824)/y + (7*t^8.014)/y + (4*t^8.118)/y + (2*t^8.308)/y + (5*t^8.412)/y + (2*t^8.602)/y + (2*t^8.706)/y + (2*t^8.896)/y - t^4.573*y - t^6.735*y - t^7.029*y - t^7.133*y + t^7.323*y + t^7.427*y + 2*t^7.617*y + 6*t^7.72*y + 2*t^7.824*y + 7*t^8.014*y + 4*t^8.118*y + 2*t^8.308*y + 5*t^8.412*y + 2*t^8.602*y + 2*t^8.706*y + 2*t^8.896*y | (2*t^2.161)/g1^18 + g1^20*t^2.265 + t^2.455/g1^26 + 2*g1^12*t^2.559 + 2*g1^4*t^2.853 + t^3.441/g1^12 + t^3.735/g1^20 + t^4.029/g1^28 + g1^10*t^4.133 + g1^48*t^4.236 + (3*t^4.323)/g1^36 + 2*g1^2*t^4.427 + g1^40*t^4.53 + (2*t^4.617)/g1^44 + (5*t^4.72)/g1^6 + 2*g1^32*t^4.824 + t^4.911/g1^52 + (6*t^5.014)/g1^14 + 5*g1^24*t^5.118 + (2*t^5.308)/g1^22 + 4*g1^16*t^5.412 + t^5.602/g1^30 + 2*g1^8*t^5.706 + (2*t^5.896)/g1^38 - t^6. - g1^38*t^6.104 + (3*t^6.19)/g1^46 + (3*t^6.294)/g1^8 + g1^30*t^6.398 + (5*t^6.484)/g1^54 + g1^68*t^6.501 + (6*t^6.588)/g1^16 + 3*g1^22*t^6.692 + (3*t^6.778)/g1^62 + 3*g1^60*t^6.795 + (8*t^6.882)/g1^24 + 4*g1^14*t^6.986 + (2*t^7.072)/g1^70 + 3*g1^52*t^7.089 + (10*t^7.176)/g1^32 + 8*g1^6*t^7.28 + t^7.366/g1^78 + 4*g1^44*t^7.383 + (6*t^7.47)/g1^40 + (9*t^7.573)/g1^2 + 6*g1^36*t^7.677 + (4*t^7.764)/g1^48 + (5*t^7.867)/g1^10 + 6*g1^28*t^7.971 + (3*t^8.058)/g1^56 - (2*t^8.161)/g1^18 + (5*t^8.352)/g1^64 + g1^96*t^8.473 - 4*g1^12*t^8.559 + (8*t^8.645)/g1^72 - g1^50*t^8.663 + (9*t^8.749)/g1^34 + g1^88*t^8.767 - 2*g1^4*t^8.853 + (5*t^8.939)/g1^80 + g1^42*t^8.957 - t^4.573/(g1^2*y) - t^6.735/(g1^20*y) - t^7.029/(g1^28*y) - (g1^10*t^7.133)/y + t^7.323/(g1^36*y) + (g1^2*t^7.427)/y + (2*t^7.617)/(g1^44*y) + (6*t^7.72)/(g1^6*y) + (2*g1^32*t^7.824)/y + (7*t^8.014)/(g1^14*y) + (4*g1^24*t^8.118)/y + (2*t^8.308)/(g1^22*y) + (5*g1^16*t^8.412)/y + (2*t^8.602)/(g1^30*y) + (2*g1^8*t^8.706)/y + (2*t^8.896)/(g1^38*y) - (t^4.573*y)/g1^2 - (t^6.735*y)/g1^20 - (t^7.029*y)/g1^28 - g1^10*t^7.133*y + (t^7.323*y)/g1^36 + g1^2*t^7.427*y + (2*t^7.617*y)/g1^44 + (6*t^7.72*y)/g1^6 + 2*g1^32*t^7.824*y + (7*t^8.014*y)/g1^14 + 4*g1^24*t^8.118*y + (2*t^8.308*y)/g1^22 + 5*g1^16*t^8.412*y + (2*t^8.602*y)/g1^30 + 2*g1^8*t^8.706*y + (2*t^8.896*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
55053 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6369 | 0.8365 | 0.7614 | [M:[0.9529, 0.8586, 0.9529, 0.8063, 0.712, 1.1414], q:[0.7382, 0.3089], qb:[0.4031, 0.4555], phi:[0.5236]] | 2*t^2.136 + t^2.293 + t^2.419 + t^2.576 + 2*t^2.859 + 2*t^3.424 + t^3.707 + t^3.99 + t^4.147 + 3*t^4.272 + t^4.304 + 2*t^4.429 + 2*t^4.555 + t^4.586 + 3*t^4.712 + t^4.838 + t^4.869 + 5*t^4.995 + 3*t^5.152 + 2*t^5.278 + 2*t^5.435 + 3*t^5.56 + 3*t^5.717 + 3*t^5.843 - t^6. - t^4.571/y - t^4.571*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
46539 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6296 | 0.8202 | 0.7676 | [M:[0.9499, 0.8497, 0.9499, 0.8256], q:[0.7375, 0.3126], qb:[0.4128, 0.437], phi:[0.525]] | t^2.176 + t^2.249 + t^2.477 + 2*t^2.549 + 2*t^2.85 + t^3.451 + t^3.751 + t^3.824 + t^4.052 + t^4.124 + t^4.197 + t^4.352 + t^4.425 + t^4.497 + t^4.653 + 3*t^4.725 + 2*t^4.798 + t^4.953 + 4*t^5.026 + 5*t^5.098 + 2*t^5.326 + 4*t^5.399 + 2*t^5.699 + t^5.927 - t^4.575/y - t^4.575*y | detail |