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 |
|---|---|---|---|---|---|---|---|---|---|
| 46349 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ | 0.6342 | 0.7835 | 0.8094 | [X:[], M:[1.1666, 0.722, 0.8334, 0.8334], q:[0.4167, 0.4167], qb:[0.8613, 0.7498], phi:[0.3889]] | [X:[], M:[[6], [14], [-6], [-6]], q:[[-3], [-3]], qb:[[-11], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1q_2^2$ | $M_1M_4$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_2q_2\tilde{q}_1$ | 1 | t^2.17 + t^2.33 + 2*t^2.5 + t^3.5 + 3*t^3.67 + t^3.83 + t^4.33 + t^4.5 + 3*t^4.67 + 3*t^4.83 + 3*t^5. + t^5.67 + 2*t^5.83 + t^6. + 5*t^6.17 + 2*t^6.33 + t^6.5 + t^6.66 + 3*t^6.83 + 3*t^7. + 3*t^7.17 + 5*t^7.33 + 5*t^7.5 + t^7.67 + t^7.83 + 2*t^8. + t^8.33 - t^8.5 + t^8.66 + 6*t^8.67 + 4*t^8.83 - t^4.17/y - t^6.33/y - t^6.5/y - t^6.67/y + t^7.5/y + (3*t^7.67)/y + (3*t^7.83)/y + (2*t^8.)/y - t^8.5/y + (2*t^8.83)/y - t^4.17*y - t^6.33*y - t^6.5*y - t^6.67*y + t^7.5*y + 3*t^7.67*y + 3*t^7.83*y + 2*t^8.*y - t^8.5*y + 2*t^8.83*y | g1^14*t^2.17 + g1^4*t^2.33 + (2*t^2.5)/g1^6 + g1^6*t^3.5 + (3*t^3.67)/g1^4 + t^3.83/g1^14 + g1^28*t^4.33 + g1^18*t^4.5 + 3*g1^8*t^4.67 + (3*t^4.83)/g1^2 + (3*t^5.)/g1^12 + g1^20*t^5.67 + 2*g1^10*t^5.83 + t^6. + (5*t^6.17)/g1^10 + (2*t^6.33)/g1^20 + g1^42*t^6.5 + g1^32*t^6.66 + 3*g1^22*t^6.83 + 3*g1^12*t^7. + 3*g1^2*t^7.17 + (5*t^7.33)/g1^8 + (5*t^7.5)/g1^18 + t^7.67/g1^28 + g1^34*t^7.83 + 2*g1^24*t^8. + g1^4*t^8.33 - t^8.5/g1^6 + g1^56*t^8.66 + (6*t^8.67)/g1^16 + (3*t^8.83)/g1^26 + g1^46*t^8.83 - (g1^2*t^4.17)/y - (g1^16*t^6.33)/y - (g1^6*t^6.5)/y - t^6.67/(g1^4*y) + (g1^18*t^7.5)/y + (3*g1^8*t^7.67)/y + (3*t^7.83)/(g1^2*y) + (2*t^8.)/(g1^12*y) - (g1^30*t^8.5)/y + (2*g1^10*t^8.83)/y - g1^2*t^4.17*y - g1^16*t^6.33*y - g1^6*t^6.5*y - (t^6.67*y)/g1^4 + g1^18*t^7.5*y + 3*g1^8*t^7.67*y + (3*t^7.83*y)/g1^2 + (2*t^8.*y)/g1^12 - g1^30*t^8.5*y + 2*g1^10*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 48303 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ + $ M_1M_5$ | 0.6488 | 0.8093 | 0.8017 | [X:[], M:[1.1755, 0.7428, 0.8245, 0.8245, 0.8245], q:[0.4123, 0.4123], qb:[0.845, 0.7632], phi:[0.3918]] | t^2.23 + t^2.35 + 3*t^2.47 + 3*t^3.65 + t^3.77 + t^4.46 + t^4.58 + 4*t^4.7 + 4*t^4.82 + 6*t^4.95 + t^5.88 - t^6. - t^4.18/y - t^4.18*y | detail | |
| 48179 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ + $ M_2^2$ | 0.5827 | 0.7345 | 0.7934 | [X:[], M:[1.2857, 1.0, 0.7143, 0.7143], q:[0.3571, 0.3571], qb:[0.6429, 0.9286], phi:[0.4286]] | 2*t^2.14 + t^2.57 + 2*t^3. + 3*t^3.43 + t^3.86 + 3*t^4.29 + 3*t^4.71 + 5*t^5.14 + 6*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 1599/2744, c: 4031/5488, M1: 9/7, M2: 1, M3: 5/7, M4: 5/7, q1: 5/14, q2: 5/14, qb1: 9/14, qb2: 13/14, phi1: 3/7} |
| 46937 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ + $ M_5\phi_1q_1q_2$ | 0.652 | 0.8153 | 0.7997 | [X:[], M:[1.1621, 0.7116, 0.8379, 0.8379, 0.7747], q:[0.4189, 0.4189], qb:[0.8694, 0.7432], phi:[0.3874]] | t^2.13 + 2*t^2.32 + 2*t^2.51 + t^3.49 + 2*t^3.68 + t^3.87 + t^4.27 + 2*t^4.46 + 5*t^4.65 + 5*t^4.84 + 3*t^5.03 + t^5.62 + 2*t^5.81 + 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 46884 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ + $ M_5\phi_1^2$ | 0.6165 | 0.7522 | 0.8196 | [X:[], M:[1.1712, 0.7328, 0.8288, 0.8288, 1.2192], q:[0.4144, 0.4144], qb:[0.8528, 0.7568], phi:[0.3904]] | t^2.2 + 2*t^2.49 + t^3.51 + 4*t^3.66 + t^3.8 + t^4.4 + 2*t^4.68 + t^4.83 + 3*t^4.97 + t^5.71 + 2*t^5.86 - 2*t^6. - t^4.17/y - t^4.17*y | detail | |
| 47029 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^3q_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.6544 | 0.8219 | 0.7962 | [X:[], M:[1.1601, 0.7069, 0.8399, 0.8399, 0.7069], q:[0.42, 0.42], qb:[0.8732, 0.7401], phi:[0.3867]] | 2*t^2.12 + t^2.32 + 2*t^2.52 + t^3.48 + 3*t^3.68 + 3*t^4.24 + 2*t^4.44 + 5*t^4.64 + 3*t^4.84 + 3*t^5.04 + 2*t^5.6 + 5*t^5.8 - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46225 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.6366 | 0.7855 | 0.8105 | [X:[], M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.29 + t^2.38 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.89 + t^3.97 + t^4.42 + t^4.5 + 2*t^4.59 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.12 + t^5.65 + t^5.73 + t^5.82 + t^5.9 - t^6. - t^4.15/y - t^4.15*y | detail |