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 |
|---|---|---|---|---|---|---|---|---|---|
| 1093 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6949 | 0.8621 | 0.8061 | [M:[1.0, 1.1163, 0.9767, 0.8837, 0.7674, 0.7907], q:[0.7791, 0.4302], qb:[0.5698, 0.4535], phi:[0.4419]] | [M:[[0], [4], [-18], [-4], [-8], [10]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}^{2}$ | ${}$ | -2 | t^2.302 + t^2.372 + 2*t^2.651 + t^2.93 + t^3. + t^3.907 + t^3.977 + 2*t^4.047 + t^4.326 + t^4.396 + t^4.604 + t^4.674 + 2*t^4.744 + 2*t^4.953 + 2*t^5.023 + t^5.232 + 5*t^5.302 + t^5.372 + t^5.581 + t^5.651 + t^5.86 - 2*t^6. - t^6.07 + t^6.209 + t^6.279 + t^6.349 + t^6.419 + 2*t^6.558 + 2*t^6.628 + 4*t^6.698 + t^6.768 + t^6.837 + 2*t^6.907 + 3*t^6.977 + 4*t^7.047 + 2*t^7.117 + t^7.256 + t^7.326 + 2*t^7.396 + t^7.535 + 4*t^7.604 + 3*t^7.674 + t^7.813 + 2*t^7.883 + 7*t^7.953 + t^8.023 + t^8.093 + t^8.162 + 3*t^8.232 - t^8.302 - 3*t^8.372 + 2*t^8.511 - 3*t^8.651 - 2*t^8.721 + t^8.79 + 3*t^8.791 + 2*t^8.86 - t^4.326/y - t^6.628/y - t^6.698/y - t^6.977/y - t^7.256/y + t^7.396/y + (2*t^7.674)/y + (3*t^7.953)/y + (3*t^8.023)/y + t^8.232/y + (3*t^8.302)/y + t^8.372/y + (2*t^8.581)/y + (2*t^8.651)/y - t^4.326*y - t^6.628*y - t^6.698*y - t^6.977*y - t^7.256*y + t^7.396*y + 2*t^7.674*y + 3*t^7.953*y + 3*t^8.023*y + t^8.232*y + 3*t^8.302*y + t^8.372*y + 2*t^8.581*y + 2*t^8.651*y | t^2.302/g1^8 + g1^10*t^2.372 + (2*t^2.651)/g1^4 + t^2.93/g1^18 + t^3. + t^3.907/g1^24 + t^3.977/g1^6 + 2*g1^12*t^4.047 + t^4.326/g1^2 + g1^16*t^4.396 + t^4.604/g1^16 + g1^2*t^4.674 + 2*g1^20*t^4.744 + (2*t^4.953)/g1^12 + 2*g1^6*t^5.023 + t^5.232/g1^26 + (5*t^5.302)/g1^8 + g1^10*t^5.372 + t^5.581/g1^22 + t^5.651/g1^4 + t^5.86/g1^36 - 2*t^6. - g1^18*t^6.07 + t^6.209/g1^32 + t^6.279/g1^14 + g1^4*t^6.349 + g1^22*t^6.419 + (2*t^6.558)/g1^28 + (2*t^6.628)/g1^10 + 4*g1^8*t^6.698 + g1^26*t^6.768 + t^6.837/g1^42 + (2*t^6.907)/g1^24 + (3*t^6.977)/g1^6 + 4*g1^12*t^7.047 + 2*g1^30*t^7.117 + t^7.256/g1^20 + t^7.326/g1^2 + 2*g1^16*t^7.396 + t^7.535/g1^34 + (4*t^7.604)/g1^16 + 3*g1^2*t^7.674 + t^7.813/g1^48 + (2*t^7.883)/g1^30 + (7*t^7.953)/g1^12 + g1^6*t^8.023 + g1^24*t^8.093 + t^8.162/g1^44 + (3*t^8.232)/g1^26 - t^8.302/g1^8 - 3*g1^10*t^8.372 + (2*t^8.511)/g1^40 - (3*t^8.651)/g1^4 - 2*g1^14*t^8.721 + t^8.79/g1^54 + 3*g1^32*t^8.791 + (2*t^8.86)/g1^36 - t^4.326/(g1^2*y) - t^6.628/(g1^10*y) - (g1^8*t^6.698)/y - t^6.977/(g1^6*y) - t^7.256/(g1^20*y) + (g1^16*t^7.396)/y + (2*g1^2*t^7.674)/y + (3*t^7.953)/(g1^12*y) + (3*g1^6*t^8.023)/y + t^8.232/(g1^26*y) + (3*t^8.302)/(g1^8*y) + (g1^10*t^8.372)/y + (2*t^8.581)/(g1^22*y) + (2*t^8.651)/(g1^4*y) - (t^4.326*y)/g1^2 - (t^6.628*y)/g1^10 - g1^8*t^6.698*y - (t^6.977*y)/g1^6 - (t^7.256*y)/g1^20 + g1^16*t^7.396*y + 2*g1^2*t^7.674*y + (3*t^7.953*y)/g1^12 + 3*g1^6*t^8.023*y + (t^8.232*y)/g1^26 + (3*t^8.302*y)/g1^8 + g1^10*t^8.372*y + (2*t^8.581*y)/g1^22 + (2*t^8.651*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1697 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ | 0.6679 | 0.8314 | 0.8034 | [M:[1.0, 1.0769, 1.1538, 0.9231, 0.8462, 0.6923], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | t^2.077 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + 2*t^3.692 + t^3.923 + 3*t^4.154 + t^4.385 + 2*t^4.615 + 2*t^4.846 + 2*t^5.077 + 2*t^5.308 + 4*t^5.538 + 2*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 903/1352, c: 281/338, M1: 1, M2: 14/13, M3: 15/13, M4: 12/13, M5: 11/13, M6: 9/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| 1699 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7156 | 0.9021 | 0.7932 | [M:[1.0, 1.1145, 0.9849, 0.8855, 0.771, 0.7862, 0.6869], q:[0.7786, 0.4352], qb:[0.5648, 0.4503], phi:[0.4428]] | t^2.061 + t^2.313 + t^2.359 + 2*t^2.657 + t^2.955 + t^3. + t^3.985 + 2*t^4.03 + t^4.121 + t^4.328 + 2*t^4.374 + t^4.419 + t^4.626 + t^4.672 + 4*t^4.717 + 2*t^4.97 + 3*t^5.015 + t^5.061 + t^5.268 + 5*t^5.313 + t^5.359 + t^5.611 + t^5.657 + t^5.909 - 2*t^6. - t^4.328/y - t^4.328*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 |
|---|---|---|---|---|---|---|---|---|---|
| 681 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6782 | 0.8333 | 0.8139 | [M:[1.0, 1.1204, 0.9582, 0.8796, 0.7592], q:[0.7801, 0.4189], qb:[0.5811, 0.4607], phi:[0.4398]] | t^2.278 + 2*t^2.639 + t^2.875 + t^3. + t^3.597 + t^3.833 + t^3.958 + 2*t^4.084 + t^4.319 + t^4.445 + t^4.555 + t^4.806 + 2*t^4.916 + t^5.152 + 4*t^5.278 + t^5.513 + t^5.639 + t^5.749 + t^5.875 - 2*t^6. - t^4.319/y - t^4.319*y | detail |