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 |
---|---|---|---|---|---|---|---|---|---|
46211 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.6165 | 0.7954 | 0.7751 | [M:[0.9591, 0.8215, 0.9591], q:[0.7398, 0.3011], qb:[0.4387, 0.4387], phi:[0.5204]] | [M:[[4], [-7], [4]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.219 + t^2.465 + t^2.632 + 2*t^2.877 + t^3.368 + t^3.535 + 2*t^3.781 + 3*t^4.194 + 3*t^4.439 + 2*t^4.684 + 2*t^4.852 + t^4.929 + 5*t^5.097 + t^5.264 + 2*t^5.342 + 2*t^5.51 + 4*t^5.755 + t^5.832 + t^6.168 + 2*t^6.245 + 6*t^6.413 + 7*t^6.658 + t^6.736 + 3*t^6.826 + 7*t^7.071 + 2*t^7.148 + 5*t^7.316 + t^7.394 + 2*t^7.484 + 3*t^7.561 + 6*t^7.729 + t^7.806 + t^7.897 + 9*t^7.974 + 2*t^8.142 - 2*t^8.219 + t^8.297 + 9*t^8.387 - 4*t^8.465 + 7*t^8.632 + 2*t^8.71 + t^8.8 - t^4.561/y - t^7.026/y + (3*t^7.684)/y + (2*t^7.852)/y + (6*t^8.097)/y + (2*t^8.342)/y + (2*t^8.51)/y + (2*t^8.587)/y + (3*t^8.755)/y + t^8.832/y - t^4.561*y - t^7.026*y + 3*t^7.684*y + 2*t^7.852*y + 6*t^8.097*y + 2*t^8.342*y + 2*t^8.51*y + 2*t^8.587*y + 3*t^8.755*y + t^8.832*y | 2*g1*t^2.219 + t^2.465/g1^7 + g1^12*t^2.632 + 2*g1^4*t^2.877 + t^3.368/g1^12 + g1^7*t^3.535 + (2*t^3.781)/g1 + 3*g1^10*t^4.194 + 3*g1^2*t^4.439 + (2*t^4.684)/g1^6 + 2*g1^13*t^4.852 + t^4.929/g1^14 + 5*g1^5*t^5.097 + g1^24*t^5.264 + (2*t^5.342)/g1^3 + 2*g1^16*t^5.51 + 4*g1^8*t^5.755 + t^5.832/g1^19 + g1^19*t^6.168 + (2*t^6.245)/g1^8 + 6*g1^11*t^6.413 + 7*g1^3*t^6.658 + t^6.736/g1^24 + 3*g1^22*t^6.826 + 7*g1^14*t^7.071 + (2*t^7.148)/g1^13 + 5*g1^6*t^7.316 + t^7.394/g1^21 + 2*g1^25*t^7.484 + (3*t^7.561)/g1^2 + 6*g1^17*t^7.729 + t^7.806/g1^10 + g1^36*t^7.897 + 9*g1^9*t^7.974 + 2*g1^28*t^8.142 - 2*g1*t^8.219 + t^8.297/g1^26 + 9*g1^20*t^8.387 - (4*t^8.465)/g1^7 + 7*g1^12*t^8.632 + (2*t^8.71)/g1^15 + g1^31*t^8.8 - t^4.561/(g1^2*y) - t^7.026/(g1^9*y) + (3*t^7.684)/(g1^6*y) + (2*g1^13*t^7.852)/y + (6*g1^5*t^8.097)/y + (2*t^8.342)/(g1^3*y) + (2*g1^16*t^8.51)/y + (2*t^8.587)/(g1^11*y) + (3*g1^8*t^8.755)/y + t^8.832/(g1^19*y) - (t^4.561*y)/g1^2 - (t^7.026*y)/g1^9 + (3*t^7.684*y)/g1^6 + 2*g1^13*t^7.852*y + 6*g1^5*t^8.097*y + (2*t^8.342*y)/g1^3 + 2*g1^16*t^8.51*y + (2*t^8.587*y)/g1^11 + 3*g1^8*t^8.755*y + (t^8.832*y)/g1^19 |
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 |
---|---|---|---|---|---|---|---|---|
46492 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6155 | 0.7965 | 0.7728 | [M:[0.9474, 0.8421, 0.9474], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.211 + 2*t^2.526 + 2*t^2.842 + 2*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 4*t^4.737 + 7*t^5.053 + 4*t^5.368 + 4*t^5.684 + 2*t^6. - t^4.579/y - t^4.579*y | detail | {a: 67551/109744, c: 43703/54872, M1: 18/19, M2: 16/19, M3: 18/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
46457 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.5025 | 0.6371 | 0.7887 | [X:[1.3846], M:[1.0769, 0.6154, 1.0769], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 3*t^2.308 + 2*t^3.231 + 3*t^3.692 + 2*t^4.154 + 4*t^4.615 + 3*t^5.077 + 4*t^5.538 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 1104/2197, c: 5599/8788, X1: 18/13, M1: 14/13, M2: 8/13, M3: 14/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
46021 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.617 | 0.7971 | 0.7742 | [M:[0.9586, 0.8061, 0.9586], q:[0.7396, 0.3018], qb:[0.4542, 0.4215], phi:[0.5207]] | t^2.17 + t^2.268 + t^2.418 + t^2.627 + 2*t^2.876 + t^3.373 + t^3.484 + t^3.732 + t^3.83 + t^4.091 + t^4.189 + t^4.288 + t^4.34 + t^4.438 + t^4.536 + t^4.588 + t^4.686 + t^4.797 + t^4.837 + t^4.895 + 3*t^5.046 + 2*t^5.144 + t^5.255 + 2*t^5.294 + 2*t^5.503 + t^5.653 + 3*t^5.752 + t^5.791 + t^5.902 - t^6. - t^4.562/y - t^4.562*y | detail |