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 |
|---|---|---|---|---|---|---|---|---|---|
| 745 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ | 0.6636 | 0.816 | 0.8132 | [M:[1.0, 1.1577, 0.9114, 0.8423, 0.8423], q:[0.7808, 0.3769], qb:[0.6231, 0.4655], phi:[0.4384]] | [M:[[0], [-3], [-11], [3], [3]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.527 + t^2.631 + t^2.734 + t^3. + t^3.577 + t^3.739 + t^3.842 + t^4.108 + t^4.212 + t^4.315 + t^4.581 + 4*t^5.054 + 2*t^5.158 + 2*t^5.261 + t^5.365 + t^5.468 + t^5.527 + t^5.631 - 2*t^6. + t^6.104 + t^6.207 + t^6.266 + t^6.311 + 2*t^6.369 + t^6.577 + 2*t^6.635 + 2*t^6.739 + 2*t^6.842 + 2*t^7.108 + t^7.153 + t^7.419 + 5*t^7.581 + 4*t^7.685 + 3*t^7.788 + t^7.847 + 3*t^7.892 + t^7.95 + 2*t^7.995 + t^8.054 + t^8.099 + t^8.158 + t^8.203 + t^8.216 + t^8.32 - 5*t^8.527 + t^8.689 - t^8.734 + 2*t^8.793 + t^8.838 + 2*t^8.896 + t^8.941 - t^4.315/y - t^6.842/y - t^6.946/y - t^7.05/y + t^7.581/y + t^7.685/y + t^7.788/y + t^8.054/y + (2*t^8.158)/y + (2*t^8.261)/y + t^8.365/y + (2*t^8.527)/y + t^8.631/y + t^8.734/y - t^4.315*y - t^6.842*y - t^6.946*y - t^7.05*y + t^7.581*y + t^7.685*y + t^7.788*y + t^8.054*y + 2*t^8.158*y + 2*t^8.261*y + t^8.365*y + 2*t^8.527*y + t^8.631*y + t^8.734*y | 2*g1^3*t^2.527 + t^2.631/g1^4 + t^2.734/g1^11 + t^3. + t^3.577/g1^10 + g1^8*t^3.739 + g1*t^3.842 + g1^12*t^4.108 + g1^5*t^4.212 + t^4.315/g1^2 + g1^9*t^4.581 + 4*g1^6*t^5.054 + (2*t^5.158)/g1 + (2*t^5.261)/g1^8 + t^5.365/g1^15 + t^5.468/g1^22 + g1^3*t^5.527 + t^5.631/g1^4 - 2*t^6. + t^6.104/g1^7 + t^6.207/g1^14 + g1^11*t^6.266 + t^6.311/g1^21 + 2*g1^4*t^6.369 + t^6.577/g1^10 + 2*g1^15*t^6.635 + 2*g1^8*t^6.739 + 2*g1*t^6.842 + 2*g1^12*t^7.108 + t^7.153/g1^20 + t^7.419/g1^9 + 5*g1^9*t^7.581 + 4*g1^2*t^7.685 + (3*t^7.788)/g1^5 + g1^20*t^7.847 + (3*t^7.892)/g1^12 + g1^13*t^7.95 + (2*t^7.995)/g1^19 + g1^6*t^8.054 + t^8.099/g1^26 + t^8.158/g1 + t^8.203/g1^33 + g1^24*t^8.216 + g1^17*t^8.32 - 5*g1^3*t^8.527 + g1^21*t^8.689 - t^8.734/g1^11 + 2*g1^14*t^8.793 + t^8.838/g1^18 + 2*g1^7*t^8.896 + t^8.941/g1^25 - t^4.315/(g1^2*y) - (g1*t^6.842)/y - t^6.946/(g1^6*y) - t^7.05/(g1^13*y) + (g1^9*t^7.581)/y + (g1^2*t^7.685)/y + t^7.788/(g1^5*y) + (g1^6*t^8.054)/y + (2*t^8.158)/(g1*y) + (2*t^8.261)/(g1^8*y) + t^8.365/(g1^15*y) + (2*g1^3*t^8.527)/y + t^8.631/(g1^4*y) + t^8.734/(g1^11*y) - (t^4.315*y)/g1^2 - g1*t^6.842*y - (t^6.946*y)/g1^6 - (t^7.05*y)/g1^13 + g1^9*t^7.581*y + g1^2*t^7.685*y + (t^7.788*y)/g1^5 + g1^6*t^8.054*y + (2*t^8.158*y)/g1 + (2*t^8.261*y)/g1^8 + (t^8.365*y)/g1^15 + 2*g1^3*t^8.527*y + (t^8.631*y)/g1^4 + (t^8.734*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1227 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6837 | 0.8536 | 0.8009 | [M:[1.0, 1.1572, 0.9097, 0.8428, 0.8428, 0.7191], q:[0.7809, 0.3763], qb:[0.6237, 0.4666], phi:[0.4381]] | t^2.157 + 2*t^2.528 + t^2.629 + t^2.729 + t^3. + t^3.572 + t^3.742 + t^4.114 + t^4.214 + 2*t^4.314 + t^4.585 + 2*t^4.686 + t^4.786 + t^4.886 + 4*t^5.057 + 3*t^5.157 + 2*t^5.258 + t^5.358 + t^5.458 + t^5.528 + t^5.629 + t^5.729 + t^5.9 - 2*t^6. - t^4.314/y - t^4.314*y | detail | |
| 1225 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6806 | 0.8472 | 0.8033 | [M:[1.0, 1.1667, 0.9444, 0.8333, 0.8333, 0.7778], q:[0.7778, 0.3889], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.333 + 2*t^2.5 + t^2.667 + t^2.833 + t^3. + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + 2*t^4.833 + 5*t^5. + 3*t^5.167 + 3*t^5.333 + 2*t^5.5 + 2*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 49/72, c: 61/72, M1: 1, M2: 7/6, M3: 17/18, M4: 5/6, M5: 5/6, M6: 7/9, q1: 7/9, q2: 7/18, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 1226 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6828 | 0.8512 | 0.8021 | [M:[1.0, 1.1526, 0.893, 0.8474, 0.8474, 0.7403], q:[0.7825, 0.3702], qb:[0.6298, 0.4772], phi:[0.4351]] | t^2.221 + 2*t^2.542 + t^2.611 + t^2.679 + t^3. + t^3.526 + t^3.847 + t^4.168 + t^4.237 + t^4.305 + t^4.442 + t^4.626 + 2*t^4.763 + t^4.832 + t^4.9 + 4*t^5.084 + 2*t^5.153 + 3*t^5.221 + t^5.289 + t^5.358 + t^5.542 + t^5.611 + t^5.747 - 2*t^6. - t^4.305/y - t^4.305*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 |
|---|---|---|---|---|---|---|---|---|---|
| 445 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ | 0.6501 | 0.7927 | 0.8201 | [M:[1.0, 1.1539, 0.8975, 0.8461], q:[0.782, 0.3718], qb:[0.6282, 0.4743], phi:[0.4359]] | t^2.538 + t^2.615 + t^2.693 + t^3. + t^3.462 + t^3.539 + t^3.769 + t^3.846 + t^4.154 + t^4.231 + t^4.308 + t^4.615 + 2*t^5.077 + t^5.154 + t^5.231 + t^5.308 + t^5.385 + t^5.615 - t^6. - t^4.308/y - t^4.308*y | detail |