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 |
|---|---|---|---|---|---|---|---|---|---|
| 1360 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.5988 | 0.7618 | 0.7861 | [M:[1.0, 0.8429, 0.6963, 0.7644, 1.1571, 1.2356], q:[0.7696, 0.2304], qb:[0.6126, 0.5445], phi:[0.4607]] | [M:[[0], [-8], [10], [-12], [8], [12]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.089 + t^2.325 + t^2.529 + 2*t^2.764 + t^3. + t^3.471 + t^3.707 + t^3.942 + t^4.147 + t^4.178 + t^4.414 + t^4.618 + 2*t^4.649 + 3*t^4.853 + t^5.058 + 3*t^5.089 + 2*t^5.293 + t^5.325 + 4*t^5.529 + t^5.56 + t^5.764 + t^5.796 - 2*t^6. + 2*t^6.031 - t^6.204 + 2*t^6.236 + 2*t^6.267 - t^6.44 + 3*t^6.471 + t^6.503 + 2*t^6.707 + 2*t^6.738 + 3*t^6.942 + 2*t^6.974 + 4*t^7.178 + 6*t^7.414 + 4*t^7.618 + 3*t^7.649 + t^7.822 + 4*t^7.853 + t^7.885 + 3*t^8.058 - t^8.089 + 3*t^8.12 + 4*t^8.293 - t^8.325 + 4*t^8.356 - 3*t^8.529 + t^8.56 + 3*t^8.591 - 7*t^8.764 + 5*t^8.796 + 2*t^8.827 - 2*t^8.969 - t^4.382/y - t^6.471/y - t^7.147/y + t^7.414/y + (2*t^7.618)/y + (3*t^7.853)/y + (3*t^8.089)/y + (3*t^8.293)/y + t^8.325/y + (2*t^8.529)/y + (2*t^8.764)/y + (2*t^8.796)/y - t^4.382*y - t^6.471*y - t^7.147*y + t^7.414*y + 2*t^7.618*y + 3*t^7.853*y + 3*t^8.089*y + 3*t^8.293*y + t^8.325*y + 2*t^8.529*y + 2*t^8.764*y + 2*t^8.796*y | g1^10*t^2.089 + g1^14*t^2.325 + t^2.529/g1^8 + (2*t^2.764)/g1^4 + t^3. + g1^8*t^3.471 + g1^12*t^3.707 + g1^16*t^3.942 + t^4.147/g1^6 + g1^20*t^4.178 + g1^24*t^4.414 + g1^2*t^4.618 + 2*g1^28*t^4.649 + 3*g1^6*t^4.853 + t^5.058/g1^16 + 3*g1^10*t^5.089 + (2*t^5.293)/g1^12 + g1^14*t^5.325 + (4*t^5.529)/g1^8 + g1^18*t^5.56 + t^5.764/g1^4 + g1^22*t^5.796 - 2*t^6. + 2*g1^26*t^6.031 - t^6.204/g1^22 + 2*g1^4*t^6.236 + 2*g1^30*t^6.267 - t^6.44/g1^18 + 3*g1^8*t^6.471 + g1^34*t^6.503 + 2*g1^12*t^6.707 + 2*g1^38*t^6.738 + 3*g1^16*t^6.942 + 2*g1^42*t^6.974 + 4*g1^20*t^7.178 + 6*g1^24*t^7.414 + 4*g1^2*t^7.618 + 3*g1^28*t^7.649 + t^7.822/g1^20 + 4*g1^6*t^7.853 + g1^32*t^7.885 + (3*t^8.058)/g1^16 - g1^10*t^8.089 + 3*g1^36*t^8.12 + (4*t^8.293)/g1^12 - g1^14*t^8.325 + 4*g1^40*t^8.356 - (3*t^8.529)/g1^8 + g1^18*t^8.56 + 3*g1^44*t^8.591 - (7*t^8.764)/g1^4 + 5*g1^22*t^8.796 + 2*g1^48*t^8.827 - (2*t^8.969)/g1^26 - t^4.382/(g1^2*y) - (g1^8*t^6.471)/y - t^7.147/(g1^6*y) + (g1^24*t^7.414)/y + (2*g1^2*t^7.618)/y + (3*g1^6*t^7.853)/y + (3*g1^10*t^8.089)/y + (3*t^8.293)/(g1^12*y) + (g1^14*t^8.325)/y + (2*t^8.529)/(g1^8*y) + (2*t^8.764)/(g1^4*y) + (2*g1^22*t^8.796)/y - (t^4.382*y)/g1^2 - g1^8*t^6.471*y - (t^7.147*y)/g1^6 + g1^24*t^7.414*y + 2*g1^2*t^7.618*y + 3*g1^6*t^7.853*y + 3*g1^10*t^8.089*y + (3*t^8.293*y)/g1^12 + g1^14*t^8.325*y + (2*t^8.529*y)/g1^8 + (2*t^8.764*y)/g1^4 + 2*g1^22*t^8.796*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 2403 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{7}$ | 0.5782 | 0.722 | 0.8009 | [M:[1.0, 0.8399, 0.7001, 0.7599, 1.1601, 1.2401, 1.2999], q:[0.77, 0.23], qb:[0.6099, 0.5501], phi:[0.46]] | t^2.34 + t^2.52 + 2*t^2.76 + t^3. + t^3.48 + t^3.72 + t^3.9 + t^3.96 + t^4.14 + 2*t^4.681 + t^4.86 + t^5.04 + 2*t^5.1 + 2*t^5.28 + t^5.34 + 4*t^5.52 + t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 2399 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6128 | 0.7847 | 0.781 | [M:[1.0, 0.8333, 0.7083, 0.75, 1.1667, 1.25, 0.8333], q:[0.7708, 0.2292], qb:[0.6042, 0.5625], phi:[0.4583]] | t^2.125 + t^2.375 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + t^4. + t^4.125 + t^4.25 + t^4.5 + 2*t^4.625 + 2*t^4.75 + 4*t^4.875 + 3*t^5. + 3*t^5.125 + 4*t^5.25 + t^5.375 + 5*t^5.5 + t^5.75 - 3*t^6. - t^4.375/y - t^4.375*y | detail | {a: 1255/2048, c: 1607/2048, M1: 1, M2: 5/6, M3: 17/24, M4: 3/4, M5: 7/6, M6: 5/4, M7: 5/6, q1: 37/48, q2: 11/48, qb1: 29/48, qb2: 9/16, phi1: 11/24} |
| 2401 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6196 | 0.8021 | 0.7724 | [M:[1.0, 0.8407, 0.6991, 0.7611, 1.1593, 1.2389, 0.6815], q:[0.7699, 0.2301], qb:[0.6106, 0.5486], phi:[0.4602]] | t^2.044 + t^2.097 + t^2.336 + t^2.522 + 2*t^2.761 + t^3. + t^3.478 + t^3.717 + t^4.089 + 2*t^4.142 + t^4.194 + t^4.381 + t^4.433 + t^4.567 + t^4.619 + 2*t^4.672 + 2*t^4.806 + 3*t^4.858 + 2*t^5.044 + 3*t^5.097 + 2*t^5.283 + t^5.336 + 5*t^5.522 + t^5.575 + 2*t^5.761 + t^5.814 - 2*t^6. - t^4.381/y - t^4.381*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 |
|---|---|---|---|---|---|---|---|---|---|
| 867 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6175 | 0.7947 | 0.7771 | [M:[1.0, 0.8344, 0.707, 0.7516, 1.1656], q:[0.7707, 0.2293], qb:[0.6051, 0.5605], phi:[0.4586]] | t^2.121 + t^2.255 + t^2.369 + t^2.503 + 2*t^2.752 + t^3. + t^3.497 + t^3.994 + t^4.127 + t^4.242 + t^4.376 + t^4.49 + t^4.51 + 2*t^4.624 + 2*t^4.739 + t^4.758 + 3*t^4.873 + 3*t^5.006 + 3*t^5.121 + 3*t^5.255 + t^5.369 + 4*t^5.503 + t^5.618 + 2*t^5.752 - 2*t^6. - t^4.376/y - t^4.376*y | detail |