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 |
|---|---|---|---|---|---|---|---|---|---|
| 45856 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ | 0.5776 | 0.6992 | 0.8261 | [X:[], M:[1.0], q:[0.8055, 0.8055], qb:[0.3055, 0.5273], phi:[0.3891]] | [X:[], M:[[0, 0]], q:[[-1, 2], [1, 0]], qb:[[0, 1], [0, 5]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.33 + t^2.5 + t^3. + 2*t^3.33 + t^3.67 + 2*t^4. + t^4.33 + t^4.67 + 2*t^4.83 + t^5. + t^5.5 + 2*t^5.83 - t^6. + t^6.16 + 2*t^6.33 + t^6.5 + 3*t^6.67 - t^6.83 + 3*t^7. + 5*t^7.33 + t^7.49 - 2*t^7.5 + 2*t^7.66 - t^7.83 + 4*t^8. + 3*t^8.33 - 2*t^8.5 + 2*t^8.66 - 2*t^8.67 + 2*t^8.83 + 2*t^8.99 - t^4.17/y - t^6.5/y + (2*t^7.83)/y + t^8.33/y + t^8.5/y + (2*t^8.67)/y + (2*t^8.83)/y - t^8.84/y - t^4.17*y - t^6.5*y + 2*t^7.83*y + t^8.33*y + t^8.5*y + 2*t^8.67*y + 2*t^8.83*y - t^8.84*y | t^2.33/g2^4 + g2^6*t^2.5 + t^3. + g1*g2*t^3.33 + (g2^3*t^3.33)/g1 + g2^4*t^3.67 + g1*g2^5*t^4. + (g2^7*t^4.)/g1 + g2^8*t^4.33 + t^4.67/g2^8 + 2*g2^2*t^4.83 + g2^12*t^5. + g2^6*t^5.5 + g1*g2^7*t^5.83 + (g2^9*t^5.83)/g1 - t^6. + g2^10*t^6.16 + g1*g2*t^6.33 + (g2^3*t^6.33)/g1 - t^6.5/g2^6 + g1*g2^11*t^6.5 + (g2^13*t^6.5)/g1 + g1^2*g2^2*t^6.67 + g2^4*t^6.67 + (g2^6*t^6.67)/g1^2 - (g1*t^6.83)/g2^5 - t^6.83/(g1*g2^3) + g2^14*t^6.83 + t^7./g2^12 + g1*g2^5*t^7. + (g2^7*t^7.)/g1 + g1^2*g2^6*t^7.33 + 3*g2^8*t^7.33 + (g2^10*t^7.33)/g1^2 + g2^18*t^7.49 - (g1*t^7.5)/g2 - (g2*t^7.5)/g1 + g1*g2^9*t^7.66 + (g2^11*t^7.66)/g1 - g2^2*t^7.83 + g1^2*g2^10*t^8. + 2*g2^12*t^8. + (g2^14*t^8.)/g1^2 - t^8.33/g2^4 + 2*g1*g2^13*t^8.33 + (2*g2^15*t^8.33)/g1 - 2*g2^6*t^8.5 + 2*g2^16*t^8.66 - (g1*t^8.67)/g2^3 - t^8.67/(g1*g2) + g1*g2^7*t^8.83 + (g2^9*t^8.83)/g1 + g1*g2^17*t^8.99 + (g2^19*t^8.99)/g1 - t^4.17/(g2^2*y) - t^6.5/(g2^6*y) + (2*g2^2*t^7.83)/y + t^8.33/(g2^4*y) + (g2^6*t^8.5)/y + (g1*t^8.67)/(g2^3*y) + t^8.67/(g1*g2*y) + (g1*g2^7*t^8.83)/y + (g2^9*t^8.83)/(g1*y) - t^8.84/(g2^10*y) - (t^4.17*y)/g2^2 - (t^6.5*y)/g2^6 + 2*g2^2*t^7.83*y + (t^8.33*y)/g2^4 + g2^6*t^8.5*y + (g1*t^8.67*y)/g2^3 + (t^8.67*y)/(g1*g2) + g1*g2^7*t^8.83*y + (g2^9*t^8.83*y)/g1 - (t^8.84*y)/g2^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45923 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ \phi_1^2X_1$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5], M:[1.0], q:[0.875, 0.875], qb:[0.375, 0.875], phi:[0.25]] | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. - t^3.75/y - t^3.75*y | detail | {a: 927/2048, c: 1023/2048, X1: 3/2, M1: 1, q1: 7/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
| 45933 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.5768 | 0.6957 | 0.829 | [X:[], M:[1.0], q:[0.7872, 0.8322], qb:[0.3097, 0.5484], phi:[0.3806]] | t^2.28 + t^2.57 + t^3. + t^3.29 + t^3.43 + t^3.72 + t^4.01 + t^4.14 + t^4.43 + t^4.57 + 2*t^4.86 + t^5.15 + t^5.57 + t^5.87 - t^4.14/y - t^4.14*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45833 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6281 | 0.7582 | 0.8284 | [X:[], M:[0.6941], q:[0.8224, 0.8224], qb:[0.4753, 0.4589], phi:[0.3553]] | t^2.08 + t^2.13 + t^2.8 + t^3.82 + 2*t^3.84 + t^3.87 + 2*t^3.89 + t^4.16 + t^4.21 + t^4.26 + t^4.88 + 2*t^4.93 + t^5.61 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 2*t^6. - t^4.07/y - t^4.07*y | detail |