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 |
|---|---|---|---|---|---|---|---|---|---|
| 1876 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.5917 | 0.7504 | 0.7885 | [M:[0.8433, 1.0783, 1.0, 1.1567, 0.6867], q:[0.6129, 0.5438], qb:[0.2304, 0.7696], phi:[0.4608]] | [M:[[-8], [4], [0], [8], [-16]], q:[[-7], [15]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.06 + t^2.323 + t^2.53 + t^2.765 + t^3. + t^3.235 + t^3.47 + t^3.705 + t^3.912 + t^4.12 + t^4.147 + t^4.382 + t^4.59 + 2*t^4.645 + t^4.825 + t^4.853 + 2*t^5.06 + t^5.088 + 2*t^5.295 + t^5.323 + 3*t^5.53 + t^5.558 + 2*t^5.765 + t^5.972 - t^6. + t^6.028 + t^6.18 + 2*t^6.235 + t^6.442 + 2*t^6.47 + t^6.65 + t^6.677 + 2*t^6.705 + t^6.885 + t^6.912 + 2*t^6.968 + 2*t^7.12 + t^7.147 + t^7.175 + 2*t^7.355 + t^7.382 + 2*t^7.41 + 3*t^7.59 + t^7.618 + t^7.645 + 3*t^7.825 + t^7.853 + t^7.88 + t^8.032 + t^8.06 + t^8.088 + t^8.115 + t^8.24 + 4*t^8.295 - 2*t^8.323 + 2*t^8.35 + t^8.502 + t^8.558 + t^8.71 + t^8.737 + 2*t^8.793 + t^8.945 + t^8.972 - t^4.382/y - t^6.442/y + t^7.382/y + t^7.59/y + t^7.825/y + t^7.853/y + t^8.06/y + t^8.088/y + (2*t^8.295)/y + (2*t^8.323)/y - t^8.502/y + (2*t^8.53)/y + t^8.558/y + (3*t^8.765)/y + t^8.793/y + t^8.972/y - t^4.382*y - t^6.442*y + t^7.382*y + t^7.59*y + t^7.825*y + t^7.853*y + t^8.06*y + t^8.088*y + 2*t^8.295*y + 2*t^8.323*y - t^8.502*y + 2*t^8.53*y + t^8.558*y + 3*t^8.765*y + t^8.793*y + t^8.972*y | t^2.06/g1^16 + g1^14*t^2.323 + t^2.53/g1^8 + t^2.765/g1^4 + t^3. + g1^4*t^3.235 + g1^8*t^3.47 + g1^12*t^3.705 + t^3.912/g1^10 + t^4.12/g1^32 + t^4.147/g1^6 + t^4.382/g1^2 + t^4.59/g1^24 + 2*g1^28*t^4.645 + t^4.825/g1^20 + g1^6*t^4.853 + (2*t^5.06)/g1^16 + g1^10*t^5.088 + (2*t^5.295)/g1^12 + g1^14*t^5.323 + (3*t^5.53)/g1^8 + g1^18*t^5.558 + (2*t^5.765)/g1^4 + t^5.972/g1^26 - t^6. + g1^26*t^6.028 + t^6.18/g1^48 + 2*g1^4*t^6.235 + t^6.442/g1^18 + 2*g1^8*t^6.47 + t^6.65/g1^40 + t^6.677/g1^14 + 2*g1^12*t^6.705 + t^6.885/g1^36 + t^6.912/g1^10 + 2*g1^42*t^6.968 + (2*t^7.12)/g1^32 + t^7.147/g1^6 + g1^20*t^7.175 + (2*t^7.355)/g1^28 + t^7.382/g1^2 + 2*g1^24*t^7.41 + (3*t^7.59)/g1^24 + g1^2*t^7.618 + g1^28*t^7.645 + (3*t^7.825)/g1^20 + g1^6*t^7.853 + g1^32*t^7.88 + t^8.032/g1^42 + t^8.06/g1^16 + g1^10*t^8.088 + g1^36*t^8.115 + t^8.24/g1^64 + (4*t^8.295)/g1^12 - 2*g1^14*t^8.323 + 2*g1^40*t^8.35 + t^8.502/g1^34 + g1^18*t^8.558 + t^8.71/g1^56 + t^8.737/g1^30 + 2*g1^22*t^8.793 + t^8.945/g1^52 + t^8.972/g1^26 - t^4.382/(g1^2*y) - t^6.442/(g1^18*y) + t^7.382/(g1^2*y) + t^7.59/(g1^24*y) + t^7.825/(g1^20*y) + (g1^6*t^7.853)/y + t^8.06/(g1^16*y) + (g1^10*t^8.088)/y + (2*t^8.295)/(g1^12*y) + (2*g1^14*t^8.323)/y - t^8.502/(g1^34*y) + (2*t^8.53)/(g1^8*y) + (g1^18*t^8.558)/y + (3*t^8.765)/(g1^4*y) + (g1^22*t^8.793)/y + t^8.972/(g1^26*y) - (t^4.382*y)/g1^2 - (t^6.442*y)/g1^18 + (t^7.382*y)/g1^2 + (t^7.59*y)/g1^24 + (t^7.825*y)/g1^20 + g1^6*t^7.853*y + (t^8.06*y)/g1^16 + g1^10*t^8.088*y + (2*t^8.295*y)/g1^12 + 2*g1^14*t^8.323*y - (t^8.502*y)/g1^34 + (2*t^8.53*y)/g1^8 + g1^18*t^8.558*y + (3*t^8.765*y)/g1^4 + g1^22*t^8.793*y + (t^8.972*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2886 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.5917 | 0.7503 | 0.7886 | [M:[0.8462, 1.0769, 1.0, 1.1538, 0.6923], q:[0.6154, 0.5385], qb:[0.2308, 0.7692], phi:[0.4615]] | t^2.077 + t^2.308 + t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + t^3.692 + t^3.923 + 2*t^4.154 + t^4.385 + 3*t^4.615 + 2*t^4.846 + 3*t^5.077 + 3*t^5.308 + 4*t^5.538 + 2*t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 20799/35152, c: 3297/4394, M1: 11/13, M2: 14/13, M3: 1, M4: 15/13, M5: 9/13, q1: 8/13, q2: 7/13, qb1: 3/13, qb2: 10/13, phi1: 6/13} |
| 2889 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6123 | 0.7902 | 0.7749 | [M:[0.8454, 1.0773, 1.0, 1.1546, 0.6908, 0.6933], q:[0.6147, 0.5399], qb:[0.2307, 0.7693], phi:[0.4613]] | t^2.072 + t^2.08 + t^2.312 + t^2.536 + t^2.768 + t^3. + t^3.232 + t^3.464 + t^3.696 + t^4.145 + 2*t^4.152 + t^4.16 + t^4.384 + t^4.392 + t^4.608 + t^4.616 + 2*t^4.623 + t^4.84 + 2*t^4.848 + 2*t^5.072 + 2*t^5.08 + 2*t^5.304 + 2*t^5.312 + 3*t^5.536 + 2*t^5.544 + 2*t^5.768 + t^5.776 - t^6. - t^4.384/y - t^4.384*y | detail | |
| 2887 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6104 | 0.7846 | 0.778 | [M:[0.836, 1.082, 1.0, 1.164, 0.6719, 0.7539], q:[0.6065, 0.5576], qb:[0.2295, 0.7705], phi:[0.459]] | t^2.016 + t^2.262 + t^2.361 + t^2.508 + t^2.754 + t^3. + t^3.246 + t^3.492 + t^3.885 + t^4.032 + t^4.131 + t^4.278 + t^4.377 + 2*t^4.524 + t^4.623 + 2*t^4.722 + 2*t^4.77 + t^4.869 + 3*t^5.016 + t^5.115 + 3*t^5.262 + t^5.361 + 4*t^5.508 + t^5.607 + 2*t^5.754 + t^5.901 - t^6. - t^4.377/y - t^4.377*y | detail | |
| 2888 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5846 | 0.7385 | 0.7916 | [M:[0.8484, 1.0758, 1.0, 1.1516, 0.6968, 1.0758], q:[0.6174, 0.5342], qb:[0.2311, 0.7689], phi:[0.4621]] | t^2.09 + t^2.296 + t^2.545 + t^3. + 2*t^3.227 + t^3.455 + t^3.682 + t^3.932 + t^4.159 + t^4.181 + t^4.386 + 2*t^4.592 + t^4.636 + t^4.841 + 2*t^5.09 + t^5.296 + 2*t^5.318 + 2*t^5.523 + 2*t^5.545 + 2*t^5.773 + t^5.978 - 2*t^6. - t^4.386/y - t^4.386*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 |
|---|---|---|---|---|---|---|---|---|---|
| 532 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ | 0.6998 | 0.8569 | 0.8166 | [M:[0.9424, 1.0288, 1.0, 1.0576, 0.8849], q:[0.4843, 0.5732], qb:[0.4581, 0.5419], phi:[0.4856]] | t^2.655 + t^2.827 + t^3. + t^3.079 + t^3.086 + t^3.094 + t^3.173 + t^4.206 + t^4.284 + t^4.363 + t^4.457 + t^4.535 + t^4.551 + t^4.629 + t^4.708 + t^4.802 + t^4.896 + t^5.309 + t^5.482 + t^5.655 + t^5.741 + t^5.827 + t^5.914 - 2*t^6. - t^4.457/y - t^4.457*y | detail |