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 |
|---|---|---|---|---|---|---|---|---|---|
| 1535 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6799 | 0.852 | 0.7981 | [M:[1.0457, 0.7891, 1.0, 0.8348, 1.1652, 0.7065], q:[0.5597, 0.3945], qb:[0.4403, 0.7706], phi:[0.4587]] | [M:[[-22], [14], [0], [-8], [8], [10]], q:[[15], [7]], qb:[[-15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -1 | t^2.119 + t^2.367 + t^2.504 + t^2.752 + t^3. + t^3.137 + t^3.496 + t^3.743 + t^3.991 + t^4.018 + 2*t^4.239 + t^4.376 + t^4.487 + t^4.624 + 2*t^4.735 + 2*t^4.872 + t^5.009 + 2*t^5.119 + 2*t^5.257 + t^5.367 + 2*t^5.504 + t^5.615 + t^5.752 + t^5.863 + t^5.889 - t^6. + 2*t^6.111 + t^6.137 + t^6.248 + t^6.274 + 2*t^6.358 + 2*t^6.496 + t^6.522 + 2*t^6.606 + 3*t^6.743 + t^6.77 + 2*t^6.854 + 3*t^6.991 + 2*t^7.102 + t^7.128 + t^7.155 + 4*t^7.239 - t^7.265 + 2*t^7.376 + 4*t^7.487 + t^7.513 + 2*t^7.624 + 3*t^7.735 + t^7.761 + 2*t^7.872 + 2*t^7.982 + 2*t^8.009 + t^8.035 - t^8.119 + 3*t^8.23 + 2*t^8.257 - t^8.367 + 2*t^8.394 + 4*t^8.478 - t^8.504 + t^8.615 + 2*t^8.642 + 3*t^8.726 + 2*t^8.863 + t^8.889 + 4*t^8.973 - t^4.376/y - t^6.496/y - t^6.743/y - t^7.128/y + t^7.239/y + t^7.487/y - t^7.513/y + (2*t^7.624)/y + (2*t^7.872)/y + t^8.009/y + (2*t^8.119)/y + (3*t^8.257)/y + t^8.367/y + (2*t^8.504)/y + t^8.642/y + t^8.752/y + t^8.863/y + t^8.889/y - t^4.376*y - t^6.496*y - t^6.743*y - t^7.128*y + t^7.239*y + t^7.487*y - t^7.513*y + 2*t^7.624*y + 2*t^7.872*y + t^8.009*y + 2*t^8.119*y + 3*t^8.257*y + t^8.367*y + 2*t^8.504*y + t^8.642*y + t^8.752*y + t^8.863*y + t^8.889*y | g1^10*t^2.119 + g1^14*t^2.367 + t^2.504/g1^8 + t^2.752/g1^4 + t^3. + t^3.137/g1^22 + g1^8*t^3.496 + g1^12*t^3.743 + g1^16*t^3.991 + t^4.018/g1^32 + 2*g1^20*t^4.239 + t^4.376/g1^2 + g1^24*t^4.487 + g1^2*t^4.624 + 2*g1^28*t^4.735 + 2*g1^6*t^4.872 + t^5.009/g1^16 + 2*g1^10*t^5.119 + (2*t^5.257)/g1^12 + g1^14*t^5.367 + (2*t^5.504)/g1^8 + g1^18*t^5.615 + t^5.752/g1^4 + g1^22*t^5.863 + t^5.889/g1^26 - t^6. + 2*g1^26*t^6.111 + t^6.137/g1^22 + g1^4*t^6.248 + t^6.274/g1^44 + 2*g1^30*t^6.358 + 2*g1^8*t^6.496 + t^6.522/g1^40 + 2*g1^34*t^6.606 + 3*g1^12*t^6.743 + t^6.77/g1^36 + 2*g1^38*t^6.854 + 3*g1^16*t^6.991 + 2*g1^42*t^7.102 + t^7.128/g1^6 + t^7.155/g1^54 + 4*g1^20*t^7.239 - t^7.265/g1^28 + (2*t^7.376)/g1^2 + 4*g1^24*t^7.487 + t^7.513/g1^24 + 2*g1^2*t^7.624 + 3*g1^28*t^7.735 + t^7.761/g1^20 + 2*g1^6*t^7.872 + 2*g1^32*t^7.982 + (2*t^8.009)/g1^16 + t^8.035/g1^64 - g1^10*t^8.119 + 3*g1^36*t^8.23 + (2*t^8.257)/g1^12 - g1^14*t^8.367 + (2*t^8.394)/g1^34 + 4*g1^40*t^8.478 - t^8.504/g1^8 + g1^18*t^8.615 + (2*t^8.642)/g1^30 + 3*g1^44*t^8.726 + 2*g1^22*t^8.863 + t^8.889/g1^26 + 4*g1^48*t^8.973 - t^4.376/(g1^2*y) - (g1^8*t^6.496)/y - (g1^12*t^6.743)/y - t^7.128/(g1^6*y) + (g1^20*t^7.239)/y + (g1^24*t^7.487)/y - t^7.513/(g1^24*y) + (2*g1^2*t^7.624)/y + (2*g1^6*t^7.872)/y + t^8.009/(g1^16*y) + (2*g1^10*t^8.119)/y + (3*t^8.257)/(g1^12*y) + (g1^14*t^8.367)/y + (2*t^8.504)/(g1^8*y) + t^8.642/(g1^30*y) + t^8.752/(g1^4*y) + (g1^22*t^8.863)/y + t^8.889/(g1^26*y) - (t^4.376*y)/g1^2 - g1^8*t^6.496*y - g1^12*t^6.743*y - (t^7.128*y)/g1^6 + g1^20*t^7.239*y + g1^24*t^7.487*y - (t^7.513*y)/g1^24 + 2*g1^2*t^7.624*y + 2*g1^6*t^7.872*y + (t^8.009*y)/g1^16 + 2*g1^10*t^8.119*y + (3*t^8.257*y)/g1^12 + g1^14*t^8.367*y + (2*t^8.504*y)/g1^8 + (t^8.642*y)/g1^30 + (t^8.752*y)/g1^4 + g1^22*t^8.863*y + (t^8.889*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2631 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6632 | 0.8221 | 0.8067 | [M:[1.0263, 0.8015, 1.0, 0.8277, 1.1723, 0.7153, 1.1985], q:[0.573, 0.4007], qb:[0.427, 0.7715], phi:[0.4569]] | t^2.146 + t^2.483 + t^2.742 + t^3. + t^3.079 + t^3.517 + t^3.596 + t^3.775 + t^3.933 + t^4.034 + 2*t^4.292 + t^4.371 + t^4.629 + t^4.809 + t^4.888 + t^4.966 + t^5.146 + 2*t^5.225 + t^5.483 + t^5.663 + 2*t^5.742 + t^5.82 - t^6. - t^4.371/y - t^4.371*y | detail | |
| 2629 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6943 | 0.8765 | 0.7921 | [M:[1.0329, 0.7972, 1.0, 0.8302, 1.1698, 0.7123, 0.8302], q:[0.5684, 0.3986], qb:[0.4316, 0.7712], phi:[0.4575]] | t^2.137 + t^2.392 + 2*t^2.49 + t^2.745 + t^3. + t^3.099 + t^3.764 + t^3.962 + t^4.019 + 2*t^4.274 + t^4.373 + t^4.529 + 2*t^4.627 + 2*t^4.783 + 3*t^4.882 + 3*t^4.981 + 2*t^5.137 + 3*t^5.236 + t^5.392 + 3*t^5.49 + t^5.589 + t^5.745 + t^5.844 - 2*t^6. - t^4.373/y - t^4.373*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 |
|---|---|---|---|---|---|---|---|---|---|
| 982 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ | 0.6596 | 0.8132 | 0.8111 | [M:[1.0406, 0.7923, 1.0, 0.8329, 1.1671], q:[0.5632, 0.3962], qb:[0.4368, 0.7709], phi:[0.4582]] | t^2.377 + t^2.499 + t^2.749 + t^3. + t^3.122 + t^3.501 + t^3.752 + t^3.874 + t^3.995 + t^4.002 + t^4.253 + t^4.375 + 2*t^4.754 + t^4.876 + t^4.998 + t^5.126 + t^5.248 + t^5.377 + 2*t^5.499 + t^5.749 + t^5.871 - t^6. - t^4.375/y - t^4.375*y | detail |