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 |
|---|---|---|---|---|---|---|---|---|---|
| 45175 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ | 1.7839 | 1.8881 | 0.9448 | [X:[1.3346], M:[0.9944, 0.9981, 0.6692], q:[0.4991, 0.5028], qb:[], phi:[0.3327]] | [X:[[4]], M:[[-18], [-6], [8]], q:[[-3], [9]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_2$, $ q_1^2$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_3^2$, $ M_1M_3$, $ \phi_1^2q_1^2$, $ M_2M_3$, $ M_3q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ M_3\phi_1^2q_1$, $ M_3\phi_1^2q_2$, $ M_1^2$, $ M_1M_2$, $ M_1q_1^2$, $ M_2^2$, $ M_2q_1^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.01 + t^2.98 + 2*t^2.99 + t^3.49 + t^3.5 + 2*t^4. + t^4.01 + 2*t^4.99 + 3*t^5. + t^5.01 + t^5.5 + t^5.51 + t^5.97 + 2*t^5.98 + 2*t^5.99 - t^6. + t^6.01 + t^6.02 + t^6.48 + 2*t^6.49 + t^6.5 + 2*t^6.99 + 6*t^7. + 3*t^7.01 + t^7.02 + 2*t^7.5 + 3*t^7.51 + t^7.52 + 2*t^7.97 + 4*t^7.99 + 4*t^8. + 2*t^8.01 + t^8.02 + t^8.03 + 2*t^8.48 + 3*t^8.5 + 2*t^8.51 + t^8.52 + t^8.95 + 2*t^8.96 + 2*t^8.97 - t^4./y - t^5.5/y - t^5.51/y - t^5.99/y - t^6.01/y - t^6.98/y - (2*t^6.99)/y - t^7.49/y - (2*t^7.5)/y - t^7.51/y + t^7.99/y - t^8.01/y - t^8.48/y - (2*t^8.49)/y + t^8.51/y + t^8.98/y - (3*t^8.99)/y - t^4.*y - t^5.5*y - t^5.51*y - t^5.99*y - t^6.01*y - t^6.98*y - 2*t^6.99*y - t^7.49*y - 2*t^7.5*y - t^7.51*y + t^7.99*y - t^8.01*y - t^8.48*y - 2*t^8.49*y + t^8.51*y + t^8.98*y - 3*t^8.99*y | g1^8*t^2.01 + t^2.98/g1^18 + (2*t^2.99)/g1^6 + t^3.49/g1^7 + g1^5*t^3.5 + 2*g1^4*t^4. + g1^16*t^4.01 + (2*t^4.99)/g1^10 + 3*g1^2*t^5. + g1^14*t^5.01 + g1*t^5.5 + g1^13*t^5.51 + t^5.97/g1^36 + (2*t^5.98)/g1^24 + (2*t^5.99)/g1^12 - t^6. + g1^12*t^6.01 + g1^24*t^6.02 + t^6.48/g1^25 + (2*t^6.49)/g1^13 + t^6.5/g1 + (2*t^6.99)/g1^14 + (6*t^7.)/g1^2 + 3*g1^10*t^7.01 + g1^22*t^7.02 + (2*t^7.5)/g1^3 + 3*g1^9*t^7.51 + g1^21*t^7.52 + (2*t^7.97)/g1^28 + (4*t^7.99)/g1^16 + (4*t^8.)/g1^4 + 2*g1^8*t^8.01 + g1^20*t^8.02 + g1^32*t^8.03 + (2*t^8.48)/g1^17 + (3*t^8.5)/g1^5 + 2*g1^7*t^8.51 + g1^19*t^8.52 + t^8.95/g1^54 + (2*t^8.96)/g1^42 + (2*t^8.97)/g1^30 - t^4./(g1^2*y) - t^5.5/(g1^5*y) - (g1^7*t^5.51)/y - t^5.99/(g1^6*y) - (g1^6*t^6.01)/y - t^6.98/(g1^20*y) - (2*t^6.99)/(g1^8*y) - t^7.49/(g1^9*y) - (2*g1^3*t^7.5)/y - (g1^15*t^7.51)/y + t^7.99/(g1^10*y) - (g1^14*t^8.01)/y - t^8.48/(g1^23*y) - (2*t^8.49)/(g1^11*y) + (g1^13*t^8.51)/y + t^8.98/(g1^24*y) - (3*t^8.99)/(g1^12*y) - (t^4.*y)/g1^2 - (t^5.5*y)/g1^5 - g1^7*t^5.51*y - (t^5.99*y)/g1^6 - g1^6*t^6.01*y - (t^6.98*y)/g1^20 - (2*t^6.99*y)/g1^8 - (t^7.49*y)/g1^9 - 2*g1^3*t^7.5*y - g1^15*t^7.51*y + (t^7.99*y)/g1^10 - g1^14*t^8.01*y - (t^8.48*y)/g1^23 - (2*t^8.49*y)/g1^11 + g1^13*t^8.51*y + (t^8.98*y)/g1^24 - (3*t^8.99*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45272 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_3\phi_1^2q_2$ | 1.7473 | 1.8531 | 0.9429 | [X:[1.3846], M:[0.7692, 0.9231, 0.7692], q:[0.4615, 0.6154], qb:[], phi:[0.3077]] | 2*t^2.31 + 2*t^2.77 + t^3.23 + t^3.69 + 2*t^4.15 + 4*t^4.62 + 5*t^5.08 + 5*t^5.54 + 2*t^6. - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y | detail | {a: 30711/17576, c: 16285/8788, X1: 18/13, M1: 10/13, M2: 12/13, M3: 10/13, q1: 6/13, q2: 8/13, phi1: 4/13} |
| 45274 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_3^2$ + $ M_1X_2$ | 1.4044 | 1.4669 | 0.9574 | [X:[1.5, 1.75], M:[0.25, 0.75, 1.0], q:[0.375, 0.875], qb:[], phi:[0.25]] | 2*t^2.25 + t^2.62 + t^3. + t^3.75 + t^4.12 + 4*t^4.5 + t^4.88 + 4*t^5.25 + t^5.62 + t^6. - t^3.75/y - t^4.88/y - t^5.25/y - (2*t^6.)/y - t^3.75*y - t^4.88*y - t^5.25*y - 2*t^6.*y | detail | {a: 11505/8192, c: 12017/8192, X1: 3/2, X2: 7/4, M1: 1/4, M2: 3/4, M3: 1, q1: 3/8, q2: 7/8, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45034 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ \phi_1^2X_1$ | 1.763 | 1.8466 | 0.9548 | [X:[1.3347], M:[0.9939, 0.998], q:[0.499, 0.503], qb:[], phi:[0.3327]] | t^2.98 + 2*t^2.99 + t^3.49 + t^3.51 + t^3.99 + 2*t^4. + t^4.99 + t^5. + t^5.01 + t^5.96 + 2*t^5.98 + 2*t^5.99 - t^6. - t^4./y - t^5.49/y - t^5.51/y - t^5.99/y - t^4.*y - t^5.49*y - t^5.51*y - t^5.99*y | detail |