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 |
|---|---|---|---|---|---|---|---|---|---|
| 222 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.6489 | 0.7809 | 0.831 | [X:[1.3333], M:[0.6667, 1.1111], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 841/1296, c: 253/324, X1: 4/3, M1: 2/3, M2: 10/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1^4$, $ \phi_1q_1q_2$ | $q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$ | -1 | t^2.67 + 2*t^3. + t^3.33 + 2*t^3.67 + 4*t^4. + 2*t^4.33 + t^4.67 + t^5.33 - t^6. + 6*t^6.67 + 6*t^7. + 4*t^7.33 + 6*t^7.67 + 10*t^8. + 4*t^8.33 - t^8.67 - t^4.33/y + (2*t^8.67)/y - t^4.33*y + 2*t^8.67*y | t^2.67 + t^3./g1 + g1*t^3. + t^3.33 + t^3.67/g1 + g1*t^3.67 + 2*t^4. + t^4./g1^2 + g1^2*t^4. + t^4.33/g1 + g1*t^4.33 + t^4.67 + t^5.33 - t^6. + 2*t^6.67 + (2*t^6.67)/g1^2 + 2*g1^2*t^6.67 + t^7./g1^3 + (2*t^7.)/g1 + 2*g1*t^7. + g1^3*t^7. + 2*t^7.33 + t^7.33/g1^2 + g1^2*t^7.33 + t^7.67/g1^3 + (2*t^7.67)/g1 + 2*g1*t^7.67 + g1^3*t^7.67 + 4*t^8. + t^8./g1^4 + (2*t^8.)/g1^2 + 2*g1^2*t^8. + g1^4*t^8. + t^8.33/g1^3 + t^8.33/g1 + g1*t^8.33 + g1^3*t^8.33 - t^8.67 - t^4.33/y + t^8.67/(g1*y) + (g1*t^8.67)/y - t^4.33*y + (t^8.67*y)/g1 + g1*t^8.67*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 |
|---|---|---|---|---|---|---|---|---|
| 354 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_3$ | 0.659 | 0.7978 | 0.8259 | [X:[1.3333], M:[0.6667, 1.1111, 0.8889], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | 2*t^2.67 + 2*t^3. + 2*t^3.67 + 4*t^4. + 2*t^4.33 + t^4.67 + 3*t^5.33 + 2*t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 427/648, c: 517/648, X1: 4/3, M1: 2/3, M2: 10/9, M3: 8/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 132 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ | 0.6721 | 0.8254 | 0.8143 | [X:[], M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | t^2.14 + t^2.71 + 2*t^2.89 + t^3.29 + 2*t^3.68 + 3*t^4.07 + 2*t^4.25 + t^4.29 + t^4.43 + t^4.86 + 2*t^5.04 + 2*t^5.43 + 2*t^5.61 + 3*t^5.78 - 4*t^6. - t^4.36/y - t^4.36*y | detail |