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 |
|---|---|---|---|---|---|---|---|---|---|
| 270 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6973 | 0.8533 | 0.8172 | [M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], phi:[0.416]] | [M:[[7, 1], [14, 0], [-7, -1], [-16, 0]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$ | -2 | t^2.016 + t^2.496 + t^2.736 + 2*t^3. + t^3.744 + 2*t^4.008 + t^4.032 + 2*t^4.248 + 4*t^4.512 + t^4.752 + t^4.992 + 2*t^5.016 + t^5.232 + t^5.472 + 2*t^5.496 + t^5.76 - 2*t^6. + 2*t^6.024 + t^6.048 + t^6.48 + 4*t^6.528 + 4*t^6.744 + t^6.768 + 6*t^7.008 + 2*t^7.032 + 3*t^7.248 + 2*t^7.488 + 4*t^7.512 + t^7.728 + t^7.776 + t^7.968 + 2*t^7.992 - 2*t^8.016 + 2*t^8.04 + t^8.064 + t^8.208 + 3*t^8.256 - 2*t^8.496 + 4*t^8.52 + 4*t^8.544 - 3*t^8.736 + 4*t^8.76 + t^8.784 - t^4.248/y - t^6.264/y - t^6.744/y - t^6.984/y + (2*t^7.512)/y + (2*t^7.752)/y + (2*t^8.016)/y + (2*t^8.232)/y - t^8.28/y + (2*t^8.496)/y + (2*t^8.736)/y - t^4.248*y - t^6.264*y - t^6.744*y - t^6.984*y + 2*t^7.512*y + 2*t^7.752*y + 2*t^8.016*y + 2*t^8.232*y - t^8.28*y + 2*t^8.496*y + 2*t^8.736*y | t^2.016/g1^16 + g1^4*t^2.496 + g1^14*t^2.736 + t^3./(g1^7*g2) + g1^7*g2*t^3. + g1^6*t^3.744 + t^4.008/(g1^15*g2) + (g2*t^4.008)/g1 + t^4.032/g1^32 + t^4.248/(g1^5*g2) + g1^9*g2*t^4.248 + (2*t^4.512)/g1^12 + t^4.512/(g1^26*g2^2) + g1^2*g2^2*t^4.512 + t^4.752/g1^2 + g1^8*t^4.992 + t^5.016/(g1^23*g2) + (g2*t^5.016)/g1^9 + g1^18*t^5.232 + g1^28*t^5.472 + t^5.496/(g1^3*g2) + g1^11*g2*t^5.496 + t^5.76/g1^10 - 2*t^6. + t^6.024/(g1^31*g2) + (g2*t^6.024)/g1^17 + t^6.048/g1^48 + g1^20*t^6.48 + (2*t^6.528)/g1^28 + t^6.528/(g1^42*g2^2) + (g2^2*t^6.528)/g1^14 + (2*t^6.744)/(g1*g2) + 2*g1^13*g2*t^6.744 + t^6.768/g1^18 + (2*t^7.008)/g1^8 + (2*t^7.008)/(g1^22*g2^2) + 2*g1^6*g2^2*t^7.008 + t^7.032/(g1^39*g2) + (g2*t^7.032)/g1^25 + g1^2*t^7.248 + t^7.248/(g1^12*g2^2) + g1^16*g2^2*t^7.248 + 2*g1^12*t^7.488 + t^7.512/(g1^33*g2^3) + t^7.512/(g1^19*g2) + (g2*t^7.512)/g1^5 + g1^9*g2^3*t^7.512 + g1^22*t^7.728 + t^7.776/g1^26 + g1^32*t^7.968 + (g1*t^7.992)/g2 + g1^15*g2*t^7.992 - (2*t^8.016)/g1^16 + t^8.04/(g1^47*g2) + (g2*t^8.04)/g1^33 + t^8.064/g1^64 + g1^42*t^8.208 + t^8.256/g1^6 + t^8.256/(g1^20*g2^2) + g1^8*g2^2*t^8.256 - 2*g1^4*t^8.496 + t^8.52/(g1^41*g2^3) + t^8.52/(g1^27*g2) + (g2*t^8.52)/g1^13 + g1*g2^3*t^8.52 + (2*t^8.544)/g1^44 + t^8.544/(g1^58*g2^2) + (g2^2*t^8.544)/g1^30 - 3*g1^14*t^8.736 + t^8.76/(g1^31*g2^3) + t^8.76/(g1^17*g2) + (g2*t^8.76)/g1^3 + g1^11*g2^3*t^8.76 + t^8.784/g1^34 - (g1^2*t^4.248)/y - t^6.264/(g1^14*y) - (g1^6*t^6.744)/y - (g1^16*t^6.984)/y + (2*t^7.512)/(g1^12*y) + (2*t^7.752)/(g1^2*y) + t^8.016/(g1^23*g2*y) + (g2*t^8.016)/(g1^9*y) + (2*g1^18*t^8.232)/y - t^8.28/(g1^30*y) + t^8.496/(g1^3*g2*y) + (g1^11*g2*t^8.496)/y + (g1^7*t^8.736)/(g2*y) + (g1^21*g2*t^8.736)/y - g1^2*t^4.248*y - (t^6.264*y)/g1^14 - g1^6*t^6.744*y - g1^16*t^6.984*y + (2*t^7.512*y)/g1^12 + (2*t^7.752*y)/g1^2 + (t^8.016*y)/(g1^23*g2) + (g2*t^8.016*y)/g1^9 + 2*g1^18*t^8.232*y - (t^8.28*y)/g1^30 + (t^8.496*y)/(g1^3*g2) + g1^11*g2*t^8.496*y + (g1^7*t^8.736*y)/g2 + g1^21*g2*t^8.736*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 |
|---|---|---|---|---|---|---|---|---|
| 435 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.645 | 0.7913 | 0.8151 | [M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.8049, 0.512], qb:[0.3659, 0.7562], phi:[0.3903]] | t^2.195 + t^2.342 + 2*t^2.634 + t^3.366 + t^3.512 + t^3.805 + t^3.951 + t^4.243 + t^4.391 + 2*t^4.537 + 2*t^4.683 + t^4.829 + 3*t^4.975 + 2*t^5.267 + 3*t^5.708 - t^6. - t^4.171/y - t^4.171*y | detail | |
| 437 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.684 | 0.834 | 0.8201 | [M:[1.0, 0.8, 1.0, 0.8], q:[0.8, 0.6], qb:[0.4, 0.6], phi:[0.4]] | 3*t^2.4 + 2*t^3. + t^3.6 + 4*t^4.2 + 9*t^4.8 + 4*t^5.4 - t^4.2/y - t^4.2*y | detail | {a: 171/250, c: 417/500, M1: 1, M2: 4/5, M3: 1, M4: 4/5, q1: 4/5, q2: 3/5, qb1: 2/5, qb2: 3/5, phi1: 2/5} |
| 442 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6307 | 0.7795 | 0.809 | [M:[0.809, 0.779, 1.191, 0.824], q:[0.8015, 0.8015], qb:[0.3895, 0.4195], phi:[0.397]] | t^2.337 + t^2.382 + t^2.427 + t^2.472 + 2*t^3.573 + t^3.618 + t^3.663 + t^3.708 + t^4.674 + t^4.719 + 2*t^4.764 + 3*t^4.809 + 2*t^4.854 + t^4.899 + t^4.944 + t^5.91 + t^5.955 + t^6. - t^4.191/y - t^4.191*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 |
|---|---|---|---|---|---|---|---|---|---|
| 171 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.6765 | 0.812 | 0.8331 | [M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | t^2.494 + t^2.729 + 2*t^3. + t^3.741 + t^3.976 + 2*t^4.012 + 2*t^4.247 + 3*t^4.518 + t^4.988 + t^5.223 + t^5.458 + 2*t^5.494 - 2*t^6. - t^4.247/y - t^4.247*y | detail |