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 |
|---|---|---|---|---|---|---|---|---|---|
| 1616 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6741 | 0.8369 | 0.8055 | [M:[1.1628, 1.1163, 0.9302, 1.0, 0.8372, 0.7674, 0.7907], q:[0.7791, 0.4535], qb:[0.3837, 0.6163], phi:[0.4419]] | [M:[[-3], [4], [-11], [0], [3], [-8], [10]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{7}$ | ${}$ | -1 | t^2.302 + t^2.372 + t^2.512 + t^2.791 + t^3. + t^3.349 + t^3.488 + t^3.837 + t^4.046 + t^4.186 + t^4.326 + t^4.535 + t^4.605 + t^4.674 + t^4.744 + t^4.814 + t^4.884 + 2*t^5.023 + t^5.093 + t^5.163 + t^5.302 + t^5.372 + t^5.581 + t^5.651 + t^5.721 + t^5.791 + 2*t^5.86 - t^6. + t^6.14 + t^6.279 + 2*t^6.349 + t^6.419 + 2*t^6.558 + t^6.628 + t^6.698 + 2*t^6.837 + 2*t^6.907 + t^6.977 + 2*t^7.046 + 2*t^7.116 + t^7.186 + t^7.256 + 2*t^7.326 + 3*t^7.395 + t^7.465 + 3*t^7.535 + t^7.605 + 2*t^7.674 + t^7.744 + 2*t^7.884 + 2*t^7.954 + t^8.023 + 3*t^8.093 + t^8.163 + 2*t^8.233 - 2*t^8.302 + 2*t^8.372 + t^8.442 - t^8.512 + 2*t^8.581 + 2*t^8.651 + t^8.721 - t^8.791 + t^8.86 + 3*t^8.93 - t^4.326/y - t^6.628/y - t^6.698/y - t^7.116/y + t^7.535/y + t^7.674/y + t^7.814/y + t^7.884/y + t^7.954/y + t^8.023/y + t^8.093/y + t^8.163/y + (2*t^8.302)/y + t^8.372/y + t^8.512/y + t^8.651/y + t^8.721/y + (2*t^8.791)/y + (2*t^8.86)/y - t^8.93/y - t^4.326*y - t^6.628*y - t^6.698*y - t^7.116*y + t^7.535*y + t^7.674*y + t^7.814*y + t^7.884*y + t^7.954*y + t^8.023*y + t^8.093*y + t^8.163*y + 2*t^8.302*y + t^8.372*y + t^8.512*y + t^8.651*y + t^8.721*y + 2*t^8.791*y + 2*t^8.86*y - t^8.93*y | t^2.302/g1^8 + g1^10*t^2.372 + g1^3*t^2.512 + t^2.791/g1^11 + t^3. + g1^4*t^3.349 + t^3.488/g1^3 + g1*t^3.837 + g1^12*t^4.046 + g1^5*t^4.186 + t^4.326/g1^2 + g1^9*t^4.535 + t^4.605/g1^16 + g1^2*t^4.674 + g1^20*t^4.744 + t^4.814/g1^5 + g1^13*t^4.884 + 2*g1^6*t^5.023 + t^5.093/g1^19 + t^5.163/g1 + t^5.302/g1^8 + g1^10*t^5.372 + t^5.581/g1^22 + t^5.651/g1^4 + g1^14*t^5.721 + t^5.791/g1^11 + 2*g1^7*t^5.86 - t^6. + t^6.14/g1^7 + t^6.279/g1^14 + 2*g1^4*t^6.349 + g1^22*t^6.419 + 2*g1^15*t^6.558 + t^6.628/g1^10 + g1^8*t^6.698 + 2*g1*t^6.837 + t^6.907/g1^24 + g1^19*t^6.907 + t^6.977/g1^6 + 2*g1^12*t^7.046 + t^7.116/g1^13 + g1^30*t^7.116 + g1^5*t^7.186 + g1^23*t^7.256 + (2*t^7.326)/g1^2 + t^7.395/g1^27 + 2*g1^16*t^7.395 + t^7.465/g1^9 + 3*g1^9*t^7.535 + t^7.605/g1^16 + 2*g1^2*t^7.674 + g1^20*t^7.744 + t^7.884/g1^30 + g1^13*t^7.884 + (2*t^7.954)/g1^12 + g1^6*t^8.023 + t^8.093/g1^19 + 2*g1^24*t^8.093 + t^8.163/g1 + 2*g1^17*t^8.233 - (2*t^8.302)/g1^8 + t^8.372/g1^33 + g1^10*t^8.372 + t^8.442/g1^15 - g1^3*t^8.512 + t^8.581/g1^22 + g1^21*t^8.581 + (2*t^8.651)/g1^4 + g1^14*t^8.721 - (2*t^8.791)/g1^11 + g1^32*t^8.791 + g1^7*t^8.86 + t^8.93/g1^18 + 2*g1^25*t^8.93 - t^4.326/(g1^2*y) - t^6.628/(g1^10*y) - (g1^8*t^6.698)/y - t^7.116/(g1^13*y) + (g1^9*t^7.535)/y + (g1^2*t^7.674)/y + t^7.814/(g1^5*y) + (g1^13*t^7.884)/y + t^7.954/(g1^12*y) + (g1^6*t^8.023)/y + t^8.093/(g1^19*y) + t^8.163/(g1*y) + (2*t^8.302)/(g1^8*y) + (g1^10*t^8.372)/y + (g1^3*t^8.512)/y + t^8.651/(g1^4*y) + (g1^14*t^8.721)/y + (2*t^8.791)/(g1^11*y) + (2*g1^7*t^8.86)/y - t^8.93/(g1^18*y) - (t^4.326*y)/g1^2 - (t^6.628*y)/g1^10 - g1^8*t^6.698*y - (t^7.116*y)/g1^13 + g1^9*t^7.535*y + g1^2*t^7.674*y + (t^7.814*y)/g1^5 + g1^13*t^7.884*y + (t^7.954*y)/g1^12 + g1^6*t^8.023*y + (t^8.093*y)/g1^19 + (t^8.163*y)/g1 + (2*t^8.302*y)/g1^8 + g1^10*t^8.372*y + g1^3*t^8.512*y + (t^8.651*y)/g1^4 + g1^14*t^8.721*y + (2*t^8.791*y)/g1^11 + 2*g1^7*t^8.86*y - (t^8.93*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4007 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.6883 | 0.8617 | 0.7987 | [M:[1.1656, 1.1126, 0.9405, 1.0, 0.8344, 0.7749, 0.7814, 0.8344], q:[0.7781, 0.447], qb:[0.3874, 0.6126], phi:[0.4437]] | t^2.325 + t^2.344 + 2*t^2.503 + t^2.821 + t^3. + t^3.338 + t^3.834 + t^4.013 + t^4.172 + t^4.331 + t^4.51 + t^4.649 + t^4.669 + t^4.688 + 2*t^4.828 + 2*t^4.847 + 4*t^5.007 + t^5.146 + t^5.166 + 2*t^5.325 + t^5.344 + t^5.503 + t^5.643 + t^5.662 + t^5.682 + 2*t^5.841 - 2*t^6. - t^4.331/y - t^4.331*y | detail | |
| 4008 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6942 | 0.8744 | 0.7939 | [M:[1.1624, 1.1168, 0.9289, 1.0, 0.8376, 0.7665, 0.7919, 0.7208], q:[0.7792, 0.4543], qb:[0.3832, 0.6168], phi:[0.4416]] | t^2.162 + t^2.299 + t^2.376 + t^2.513 + t^2.787 + t^3. + t^3.35 + t^3.487 + t^4.051 + t^4.188 + 2*t^4.325 + t^4.462 + 2*t^4.538 + t^4.599 + 2*t^4.675 + t^4.752 + t^4.812 + t^4.888 + t^4.949 + 2*t^5.025 + t^5.086 + 2*t^5.162 + t^5.299 + t^5.376 + t^5.513 + t^5.573 + 2*t^5.65 + t^5.726 + t^5.787 + 2*t^5.863 - t^6. - t^4.325/y - t^4.325*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1037 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6579 | 0.8085 | 0.8137 | [M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.233 + t^2.538 + t^2.695 + t^3. + t^3.384 + t^3.462 + t^3.541 + t^3.846 + t^4.151 + t^4.23 + t^4.308 + t^4.465 + t^4.613 + t^4.77 + t^4.927 + 2*t^5.076 + t^5.233 + t^5.39 + t^5.616 + t^5.695 + t^5.773 + t^5.921 - t^6. - t^4.308/y - t^4.308*y | detail |