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 |
|---|---|---|---|---|---|---|---|---|---|
| 48214 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ | 0.6342 | 0.7831 | 0.8099 | [M:[1.1646, 0.7243, 0.8354, 0.8285, 0.8354, 1.1715], q:[0.4143, 0.4211], qb:[0.8614, 0.7504], phi:[0.3882]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [3, 3], [6, 8]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -2 | t^2.173 + t^2.329 + 2*t^2.506 + t^3.514 + t^3.65 + t^3.671 + t^3.691 + t^3.848 + t^4.346 + t^4.502 + t^4.658 + 2*t^4.679 + 3*t^4.835 + 3*t^5.012 + t^5.687 + t^5.844 + t^5.864 - 2*t^6. + 3*t^6.021 + t^6.156 + 2*t^6.177 + 2*t^6.198 + 2*t^6.354 + t^6.519 + t^6.675 + t^6.831 + 2*t^6.852 + 2*t^7.008 + t^7.029 - t^7.144 + t^7.165 + 2*t^7.185 + t^7.206 + t^7.3 - t^7.321 + 3*t^7.342 + t^7.362 + t^7.383 + 4*t^7.519 + t^7.539 + t^7.696 + t^7.86 + t^8.017 + t^8.037 - t^8.152 - 2*t^8.173 + 3*t^8.194 - 3*t^8.329 + 2*t^8.35 + 2*t^8.371 - t^8.486 - 5*t^8.506 + 5*t^8.527 + 3*t^8.683 + t^8.692 + 3*t^8.704 + t^8.848 + 3*t^8.86 - t^4.165/y - t^6.338/y - t^6.494/y - t^6.671/y + t^7.502/y + t^7.658/y + (2*t^7.679)/y + (3*t^7.835)/y + t^7.992/y + t^8.012/y - t^8.51/y - t^8.667/y + t^8.687/y + t^8.844/y + t^8.864/y + t^8.979/y - t^4.165*y - t^6.338*y - t^6.494*y - t^6.671*y + t^7.502*y + t^7.658*y + 2*t^7.679*y + 3*t^7.835*y + t^7.992*y + t^8.012*y - t^8.51*y - t^8.667*y + t^8.687*y + t^8.844*y + t^8.864*y + t^8.979*y | g1^2*g2^4*t^2.173 + t^2.329/(g1^2*g2^2) + 2*g1^3*g2^3*t^2.506 + g1^6*g2^8*t^3.514 + t^3.65/(g1^7*g2^9) + g1^2*g2^2*t^3.671 + g1^11*g2^13*t^3.691 + g1^7*g2^7*t^3.848 + g1^4*g2^8*t^4.346 + g2^2*t^4.502 + t^4.658/(g1^4*g2^4) + 2*g1^5*g2^7*t^4.679 + 3*g1*g2*t^4.835 + 3*g1^6*g2^6*t^5.012 + g1^8*g2^12*t^5.687 + g1^4*g2^6*t^5.844 + g1^13*g2^17*t^5.864 - 2*t^6. + 3*g1^9*g2^11*t^6.021 + t^6.156/(g1^4*g2^6) + 2*g1^5*g2^5*t^6.177 + 2*g1^14*g2^16*t^6.198 + 2*g1^10*g2^10*t^6.354 + g1^6*g2^12*t^6.519 + g1^2*g2^6*t^6.675 + t^6.831/g1^2 + 2*g1^7*g2^11*t^6.852 + 2*g1^3*g2^5*t^7.008 + g1^12*g2^16*t^7.029 - t^7.144/(g1^10*g2^12) + t^7.165/(g1*g2) + 2*g1^8*g2^10*t^7.185 + g1^17*g2^21*t^7.206 + t^7.3/(g1^14*g2^18) - t^7.321/(g1^5*g2^7) + 3*g1^4*g2^4*t^7.342 + g1^13*g2^15*t^7.362 + g1^22*g2^26*t^7.383 + 4*g1^9*g2^9*t^7.519 + g1^18*g2^20*t^7.539 + g1^14*g2^14*t^7.696 + g1^10*g2^16*t^7.86 + g1^6*g2^10*t^8.017 + g1^15*g2^21*t^8.037 - t^8.152/(g1^7*g2^7) - 2*g1^2*g2^4*t^8.173 + 3*g1^11*g2^15*t^8.194 - (3*t^8.329)/(g1^2*g2^2) + 2*g1^7*g2^9*t^8.35 + 2*g1^16*g2^20*t^8.371 - t^8.486/(g1^6*g2^8) - 5*g1^3*g2^3*t^8.506 + 5*g1^12*g2^14*t^8.527 + 3*g1^8*g2^8*t^8.683 + g1^8*g2^16*t^8.692 + 3*g1^17*g2^19*t^8.704 + g1^4*g2^10*t^8.848 + 3*g1^13*g2^13*t^8.86 - t^4.165/(g1*g2*y) - (g1*g2^3*t^6.338)/y - t^6.494/(g1^3*g2^3*y) - (g1^2*g2^2*t^6.671)/y + (g2^2*t^7.502)/y + t^7.658/(g1^4*g2^4*y) + (2*g1^5*g2^7*t^7.679)/y + (3*g1*g2*t^7.835)/y + t^7.992/(g1^3*g2^5*y) + (g1^6*g2^6*t^8.012)/y - (g1^3*g2^7*t^8.51)/y - (g2*t^8.667)/(g1*y) + (g1^8*g2^12*t^8.687)/y + (g1^4*g2^6*t^8.844)/y + (g1^13*g2^17*t^8.864)/y + t^8.979/(g1^9*g2^11*y) - (t^4.165*y)/(g1*g2) - g1*g2^3*t^6.338*y - (t^6.494*y)/(g1^3*g2^3) - g1^2*g2^2*t^6.671*y + g2^2*t^7.502*y + (t^7.658*y)/(g1^4*g2^4) + 2*g1^5*g2^7*t^7.679*y + 3*g1*g2*t^7.835*y + (t^7.992*y)/(g1^3*g2^5) + g1^6*g2^6*t^8.012*y - g1^3*g2^7*t^8.51*y - (g2*t^8.667*y)/g1 + g1^8*g2^12*t^8.687*y + g1^4*g2^6*t^8.844*y + g1^13*g2^17*t^8.864*y + (t^8.979*y)/(g1^9*g2^11) |
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 |
|---|---|---|---|---|---|---|---|---|
| 50979 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6534 | 0.8169 | 0.7999 | [M:[1.1525, 0.7287, 0.8475, 0.8079, 0.8475, 1.1921, 0.7287], q:[0.404, 0.4436], qb:[0.8673, 0.7485], phi:[0.3842]] | 2*t^2.186 + t^2.305 + 2*t^2.543 + 2*t^3.576 + t^3.695 + t^3.933 + 3*t^4.372 + 2*t^4.491 + t^4.61 + 4*t^4.729 + 3*t^4.848 + 3*t^5.085 + 3*t^5.762 + 2*t^5.881 - 2*t^6. - t^4.152/y - t^4.152*y | detail | |
| 55951 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6165 | 0.7524 | 0.8195 | [M:[1.1717, 0.7323, 0.8283, 0.83, 0.8283, 1.17, 1.2189], q:[0.415, 0.4133], qb:[0.8527, 0.7567], phi:[0.3906]] | t^2.197 + 2*t^2.485 + t^3.51 + t^3.652 + 2*t^3.657 + t^3.662 + t^3.798 + t^4.394 + 2*t^4.682 + t^4.828 + 3*t^4.97 + t^5.707 + t^5.849 + t^5.853 + 2*t^5.995 - 3*t^6. - t^4.172/y - t^4.172*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46773 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.6501 | 0.8094 | 0.8031 | [M:[1.1622, 0.7548, 0.8378, 0.7947, 0.8378], q:[0.3974, 0.4405], qb:[0.8478, 0.7648], phi:[0.3874]] | t^2.265 + t^2.324 + t^2.384 + 2*t^2.513 + t^3.546 + t^3.676 + t^3.805 + t^3.865 + t^4.529 + t^4.589 + 2*t^4.649 + t^4.708 + t^4.768 + 2*t^4.778 + 3*t^4.838 + 2*t^4.898 + 3*t^5.027 + t^5.93 - 2*t^6. - t^4.162/y - t^4.162*y | detail |