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 |
|---|---|---|---|---|---|---|---|---|---|
| 1038 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.659 | 0.8115 | 0.8121 | [M:[1.159, 1.1213, 0.9165, 1.0, 0.841, 0.7197], q:[0.7803, 0.4622], qb:[0.3787, 0.6213], phi:[0.4394]] | [M:[[-3], [4], [-11], [0], [3], [-1]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}q_{1}q_{2}$ | ${}$ | -1 | t^2.159 + t^2.523 + t^2.749 + t^3. + t^3.364 + t^3.477 + t^3.59 + t^3.728 + t^4.092 + t^4.205 + 2*t^4.318 + t^4.569 + t^4.682 + t^4.908 + 2*t^5.046 + t^5.159 + t^5.499 + t^5.523 + t^5.636 + t^5.749 + 2*t^5.887 - t^6. + t^6.113 + t^6.227 + t^6.251 + t^6.34 + t^6.364 + 2*t^6.477 + t^6.614 + 2*t^6.728 + t^6.841 + t^6.954 + 2*t^7.068 + 2*t^7.092 + t^7.181 + 2*t^7.205 + t^7.318 + t^7.455 + 2*t^7.569 + t^7.658 + 2*t^7.682 + 2*t^7.795 + t^7.819 + 2*t^7.908 + t^7.932 + 2*t^8.046 - 2*t^8.159 + t^8.183 + t^8.248 + t^8.296 + t^8.386 + 2*t^8.41 + t^8.499 + 3*t^8.636 + t^8.66 - 2*t^8.749 + 2*t^8.773 + t^8.976 - t^4.318/y - t^6.477/y - t^7.068/y + t^7.569/y + t^7.682/y + t^7.908/y + (2*t^8.159)/y + t^8.272/y + (2*t^8.523)/y + (2*t^8.749)/y + (2*t^8.887)/y - t^4.318*y - t^6.477*y - t^7.068*y + t^7.569*y + t^7.682*y + t^7.908*y + 2*t^8.159*y + t^8.272*y + 2*t^8.523*y + 2*t^8.749*y + 2*t^8.887*y | t^2.159/g1 + g1^3*t^2.523 + t^2.749/g1^11 + t^3. + g1^4*t^3.364 + t^3.477/g1^3 + t^3.59/g1^10 + g1^8*t^3.728 + g1^12*t^4.092 + g1^5*t^4.205 + (2*t^4.318)/g1^2 + g1^9*t^4.569 + g1^2*t^4.682 + t^4.908/g1^12 + 2*g1^6*t^5.046 + t^5.159/g1 + t^5.499/g1^22 + g1^3*t^5.523 + t^5.636/g1^4 + t^5.749/g1^11 + 2*g1^7*t^5.887 - t^6. + t^6.113/g1^7 + t^6.227/g1^14 + g1^11*t^6.251 + t^6.34/g1^21 + g1^4*t^6.364 + (2*t^6.477)/g1^3 + g1^15*t^6.614 + 2*g1^8*t^6.728 + g1*t^6.841 + t^6.954/g1^6 + (2*t^7.068)/g1^13 + 2*g1^12*t^7.092 + t^7.181/g1^20 + 2*g1^5*t^7.205 + t^7.318/g1^2 + g1^16*t^7.455 + 2*g1^9*t^7.569 + t^7.658/g1^23 + 2*g1^2*t^7.682 + (2*t^7.795)/g1^5 + g1^20*t^7.819 + (2*t^7.908)/g1^12 + g1^13*t^7.932 + 2*g1^6*t^8.046 - (2*t^8.159)/g1 + g1^24*t^8.183 + t^8.248/g1^33 + g1^17*t^8.296 + t^8.386/g1^15 + 2*g1^10*t^8.41 + t^8.499/g1^22 + (3*t^8.636)/g1^4 + g1^21*t^8.66 - (2*t^8.749)/g1^11 + 2*g1^14*t^8.773 + t^8.976/g1^25 - t^4.318/(g1^2*y) - t^6.477/(g1^3*y) - t^7.068/(g1^13*y) + (g1^9*t^7.569)/y + (g1^2*t^7.682)/y + t^7.908/(g1^12*y) + (2*t^8.159)/(g1*y) + t^8.272/(g1^8*y) + (2*g1^3*t^8.523)/y + (2*t^8.749)/(g1^11*y) + (2*g1^7*t^8.887)/y - (t^4.318*y)/g1^2 - (t^6.477*y)/g1^3 - (t^7.068*y)/g1^13 + g1^9*t^7.569*y + g1^2*t^7.682*y + (t^7.908*y)/g1^12 + (2*t^8.159*y)/g1 + (t^8.272*y)/g1^8 + 2*g1^3*t^8.523*y + (2*t^8.749*y)/g1^11 + 2*g1^7*t^8.887*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 |
|---|---|---|---|---|---|---|---|---|
| 1621 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6729 | 0.8357 | 0.8052 | [M:[1.1628, 1.1162, 0.9304, 1.0, 0.8372, 0.7209, 0.8372], q:[0.7791, 0.4534], qb:[0.3838, 0.6162], phi:[0.4419]] | t^2.163 + 2*t^2.511 + t^2.791 + t^3. + t^3.349 + t^3.628 + t^3.697 + t^4.046 + t^4.186 + 2*t^4.326 + t^4.534 + 2*t^4.674 + t^4.954 + 4*t^5.023 + t^5.163 + t^5.303 + 2*t^5.511 + t^5.583 + t^5.791 + 3*t^5.86 - 2*t^6. - t^4.326/y - t^4.326*y | detail | |
| 1615 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ | 0.6542 | 0.8076 | 0.81 | [M:[1.1818, 1.0909, 1.0, 1.0, 0.8182, 0.7273], q:[0.7727, 0.4091], qb:[0.4091, 0.5909], phi:[0.4545]] | t^2.182 + t^2.455 + 2*t^3. + t^3.273 + 2*t^3.545 + 2*t^3.818 + t^4.091 + 3*t^4.364 + t^4.636 + 2*t^4.909 + 2*t^5.182 + t^5.455 + 3*t^5.727 + 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 3483/5324, c: 17199/21296, M1: 13/11, M2: 12/11, M3: 1, M4: 1, M5: 9/11, M6: 8/11, q1: 17/22, q2: 9/22, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
| 1619 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6762 | 0.8432 | 0.8019 | [M:[1.168, 1.1093, 0.9495, 1.0, 0.832, 0.7227, 0.7732], q:[0.7773, 0.4412], qb:[0.3907, 0.6093], phi:[0.4454]] | t^2.168 + t^2.32 + t^2.496 + t^2.848 + t^3. + t^3.328 + t^3.504 + t^3.656 + t^3.983 + t^4.16 + 2*t^4.336 + 2*t^4.488 + t^4.639 + t^4.664 + t^4.815 + 2*t^4.992 + t^5.017 + 2*t^5.168 + t^5.32 + t^5.496 + t^5.647 + t^5.672 + t^5.697 + 3*t^5.824 + t^5.975 - t^6. - t^4.336/y - t^4.336*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 |
|---|---|---|---|---|---|---|---|---|---|
| 651 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6389 | 0.7739 | 0.8256 | [M:[1.1595, 1.1206, 0.9183, 1.0, 0.8405], q:[0.7802, 0.4611], qb:[0.3794, 0.6206], phi:[0.4397]] | t^2.521 + t^2.755 + t^3. + t^3.362 + t^3.479 + t^3.595 + t^3.724 + t^3.84 + t^4.086 + t^4.202 + t^4.319 + t^4.564 + 2*t^5.043 + t^5.51 + t^5.883 - t^6. - t^4.319/y - t^4.319*y | detail |