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 |
|---|---|---|---|---|---|---|---|---|---|
| 676 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6252 | 0.7769 | 0.8047 | [M:[1.0648, 1.1451, 0.7824, 0.7176, 1.0], q:[0.7863, 0.2863], qb:[0.6489, 0.5687], phi:[0.4275]] | [M:[[12], [-4], [6], [-6], [0]], q:[[-1], [-1]], qb:[[-11], [5]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{3}$ | ${}$ | -1 | t^2.153 + t^2.347 + t^2.565 + t^3. + t^3.194 + t^3.218 + t^3.435 + t^4.065 + t^4.088 + 2*t^4.306 + t^4.5 + 2*t^4.694 + t^4.718 + t^4.935 + t^5.13 + t^5.176 + 2*t^5.347 + t^5.37 + t^5.542 + 2*t^5.565 + t^5.588 + t^5.782 - t^6. + 2*t^6.218 + t^6.389 + t^6.412 + t^6.435 + 2*t^6.458 + t^6.63 + 2*t^6.653 + t^6.847 + t^6.87 + t^7.042 + t^7.088 + 2*t^7.259 + t^7.282 + t^7.306 + t^7.329 + 2*t^7.5 + 2*t^7.523 + 3*t^7.694 + t^7.718 + 2*t^7.741 + 2*t^7.889 + t^7.912 + 2*t^8.13 - 2*t^8.153 + t^8.176 - 2*t^8.347 + 2*t^8.37 + t^8.394 + t^8.542 + t^8.565 + 3*t^8.611 + t^8.736 + 2*t^8.759 + t^8.782 + t^8.806 - t^4.282/y - t^6.435/y - t^6.63/y + t^7.088/y - t^7.477/y + t^7.5/y + t^7.718/y + t^7.912/y + t^7.935/y + t^8.13/y + t^8.153/y + (2*t^8.347)/y + t^8.37/y + t^8.542/y + (2*t^8.565)/y + t^8.759/y + t^8.782/y - t^8.977/y - t^4.282*y - t^6.435*y - t^6.63*y + t^7.088*y - t^7.477*y + t^7.5*y + t^7.718*y + t^7.912*y + t^7.935*y + t^8.13*y + t^8.153*y + 2*t^8.347*y + t^8.37*y + t^8.542*y + 2*t^8.565*y + t^8.759*y + t^8.782*y - t^8.977*y | t^2.153/g1^6 + g1^6*t^2.347 + g1^4*t^2.565 + t^3. + g1^12*t^3.194 + t^3.218/g1^2 + t^3.435/g1^4 + g1^4*t^4.065 + t^4.088/g1^10 + (2*t^4.306)/g1^12 + t^4.5 + 2*g1^12*t^4.694 + t^4.718/g1^2 + t^4.935/g1^4 + g1^8*t^5.13 + t^5.176/g1^20 + 2*g1^6*t^5.347 + t^5.37/g1^8 + g1^18*t^5.542 + 2*g1^4*t^5.565 + t^5.588/g1^10 + g1^2*t^5.782 - t^6. + (2*t^6.218)/g1^2 + g1^24*t^6.389 + g1^10*t^6.412 + t^6.435/g1^4 + (2*t^6.458)/g1^18 + g1^8*t^6.63 + (2*t^6.653)/g1^6 + g1^6*t^6.847 + t^6.87/g1^8 + g1^18*t^7.042 + t^7.088/g1^10 + 2*g1^16*t^7.259 + g1^2*t^7.282 + t^7.306/g1^12 + t^7.329/g1^26 + 2*t^7.5 + (2*t^7.523)/g1^14 + 3*g1^12*t^7.694 + t^7.718/g1^2 + (2*t^7.741)/g1^16 + 2*g1^24*t^7.889 + g1^10*t^7.912 + 2*g1^8*t^8.13 - (2*t^8.153)/g1^6 + t^8.176/g1^20 - 2*g1^6*t^8.347 + (2*t^8.37)/g1^8 + t^8.394/g1^22 + g1^18*t^8.542 + g1^4*t^8.565 + (3*t^8.611)/g1^24 + g1^30*t^8.736 + 2*g1^16*t^8.759 + g1^2*t^8.782 + t^8.806/g1^12 - (g1^2*t^4.282)/y - t^6.435/(g1^4*y) - (g1^8*t^6.63)/y + t^7.088/(g1^10*y) - (g1^14*t^7.477)/y + t^7.5/y + t^7.718/(g1^2*y) + (g1^10*t^7.912)/y + t^7.935/(g1^4*y) + (g1^8*t^8.13)/y + t^8.153/(g1^6*y) + (2*g1^6*t^8.347)/y + t^8.37/(g1^8*y) + (g1^18*t^8.542)/y + (2*g1^4*t^8.565)/y + (g1^16*t^8.759)/y + (g1^2*t^8.782)/y - (g1^14*t^8.977)/y - g1^2*t^4.282*y - (t^6.435*y)/g1^4 - g1^8*t^6.63*y + (t^7.088*y)/g1^10 - g1^14*t^7.477*y + t^7.5*y + (t^7.718*y)/g1^2 + g1^10*t^7.912*y + (t^7.935*y)/g1^4 + g1^8*t^8.13*y + (t^8.153*y)/g1^6 + 2*g1^6*t^8.347*y + (t^8.37*y)/g1^8 + g1^18*t^8.542*y + 2*g1^4*t^8.565*y + g1^16*t^8.759*y + g1^2*t^8.782*y - g1^14*t^8.977*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 |
|---|---|---|---|---|---|---|---|---|
| 1086 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}X_{1}$ | 0.5968 | 0.7288 | 0.819 | [X:[1.3333], M:[1.1667, 1.1111, 0.8333, 0.6667, 1.0], q:[0.7778, 0.2778], qb:[0.5556, 0.6111], phi:[0.4444]] | t^2.5 + t^2.667 + t^3. + t^3.167 + t^3.333 + t^3.5 + t^3.833 + 2*t^4. + t^4.167 + t^4.667 + t^4.833 + t^5. + t^5.333 + t^5.5 + 2*t^5.667 - t^4.333/y - t^4.333*y | detail | {a: 1547/2592, c: 1889/2592, X1: 4/3, M1: 7/6, M2: 10/9, M3: 5/6, M4: 2/3, M5: 1, q1: 7/9, q2: 5/18, qb1: 5/9, qb2: 11/18, phi1: 4/9} |
| 1087 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.632 | 0.7882 | 0.8018 | [M:[1.0543, 1.1486, 0.7772, 0.7228, 1.0, 0.9257], q:[0.7871, 0.2871], qb:[0.6585, 0.5643], phi:[0.4257]] | t^2.168 + t^2.332 + t^2.554 + t^2.777 + t^3. + t^3.163 + t^3.446 + t^4.054 + t^4.114 + 2*t^4.337 + t^4.5 + 2*t^4.663 + t^4.723 + 2*t^4.946 + 2*t^5.109 + t^5.228 + 3*t^5.332 + t^5.495 + 2*t^5.554 + t^5.614 + t^5.777 + t^5.94 - t^6. - t^4.277/y - t^4.277*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 |
|---|---|---|---|---|---|---|---|---|---|
| 415 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6912 | 0.864 | 0.8 | [M:[0.9777, 1.1199, 0.9825, 0.6799, 0.6751], q:[0.78, 0.4425], qb:[0.5799, 0.4376], phi:[0.44]] | t^2.025 + t^2.04 + t^2.64 + t^2.933 + t^2.948 + t^3.36 + t^3.653 + t^3.667 + t^3.946 + t^4.05 + t^4.065 + 2*t^4.08 + t^4.372 + t^4.387 + t^4.665 + t^4.68 + t^4.799 + t^4.958 + 2*t^4.973 + t^4.987 + t^5.28 + t^5.385 + t^5.4 + t^5.678 + 2*t^5.693 + t^5.707 + t^5.866 + t^5.881 + t^5.895 + t^5.971 - 2*t^6. - t^4.32/y - t^4.32*y | detail |