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 |
|---|---|---|---|---|---|---|---|---|---|
| 3390 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6431 | 0.8464 | 0.7598 | [X:[], M:[1.0005, 0.9984, 0.9995, 0.7496, 0.7496, 0.7485], q:[0.7501, 0.2493], qb:[0.5013, 0.5003], phi:[0.4997]] | [X:[], M:[[4], [-12], [-4], [-3], [-3], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1q_2^2$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_4M_6$, $ M_5M_6$, $ M_6q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_6$, $ M_6\phi_1q_2^2$, $ M_2M_4$, $ M_2M_5$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_4$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ M_2\phi_1q_2^2$, $ \phi_1^2q_2^4$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_6\phi_1q_2\tilde{q}_2$ | $M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_4\phi_1q_2\tilde{q}_2$, $ M_5\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -2 | 5*t^2.25 + 4*t^3. + t^3.75 + 4*t^4.49 + 13*t^4.5 + t^4.51 + 9*t^5.24 + 9*t^5.25 + 8*t^5.99 - 2*t^6. + 12*t^6.74 + 24*t^6.75 + 4*t^6.76 + 25*t^7.49 + 23*t^7.5 - t^7.51 + 29*t^8.24 - 16*t^8.25 - 6*t^8.26 + t^8.98 + 38*t^8.99 - t^4.5/y - t^6.74/y - (2*t^6.75)/y + (2*t^7.49)/y + (8*t^7.5)/y + (10*t^8.24)/y + (13*t^8.25)/y + (3*t^8.99)/y - t^4.5*y - t^6.74*y - 2*t^6.75*y + 2*t^7.49*y + 8*t^7.5*y + 10*t^8.24*y + 13*t^8.25*y + 3*t^8.99*y | t^2.25/g1^11 + (3*t^2.25)/g1^3 + g1^5*t^2.25 + (2*t^3.)/g1^12 + (2*t^3.)/g1^4 + t^3.75/g1^5 + t^4.49/g1^22 + (3*t^4.49)/g1^14 + (7*t^4.5)/g1^6 + 4*g1^2*t^4.5 + 2*g1^10*t^4.5 + g1^18*t^4.51 + (2*t^5.24)/g1^23 + (7*t^5.24)/g1^15 + (7*t^5.25)/g1^7 + 2*g1*t^5.25 + (3*t^5.99)/g1^24 + (5*t^5.99)/g1^16 - 3*t^6. + (3*t^6.)/g1^8 - 2*g1^8*t^6. + t^6.74/g1^33 + (3*t^6.74)/g1^25 + (8*t^6.74)/g1^17 + (13*t^6.75)/g1^9 + (7*t^6.75)/g1 + 4*g1^7*t^6.75 + 3*g1^15*t^6.76 + g1^23*t^6.76 + (2*t^7.49)/g1^34 + (7*t^7.49)/g1^26 + (16*t^7.49)/g1^18 + (17*t^7.5)/g1^10 + (6*t^7.5)/g1^2 - g1^22*t^7.51 + (3*t^8.24)/g1^35 + (12*t^8.24)/g1^27 + (14*t^8.24)/g1^19 + (5*t^8.25)/g1^11 - (10*t^8.25)/g1^3 - 11*g1^5*t^8.25 - 5*g1^13*t^8.26 - g1^21*t^8.26 + t^8.98/g1^44 + (7*t^8.99)/g1^36 + (14*t^8.99)/g1^28 + (17*t^8.99)/g1^20 - t^4.5/(g1^2*y) - t^6.74/(g1^13*y) - (2*t^6.75)/(g1^5*y) + (2*t^7.49)/(g1^14*y) + (3*t^7.5)/(g1^6*y) + (4*g1^2*t^7.5)/y + (g1^10*t^7.5)/y + (2*t^8.24)/(g1^23*y) + (8*t^8.24)/(g1^15*y) + (8*t^8.25)/(g1^7*y) + (4*g1*t^8.25)/y + (g1^9*t^8.25)/y + (3*t^8.99)/(g1^16*y) - (t^4.5*y)/g1^2 - (t^6.74*y)/g1^13 - (2*t^6.75*y)/g1^5 + (2*t^7.49*y)/g1^14 + (3*t^7.5*y)/g1^6 + 4*g1^2*t^7.5*y + g1^10*t^7.5*y + (2*t^8.24*y)/g1^23 + (8*t^8.24*y)/g1^15 + (8*t^8.25*y)/g1^7 + 4*g1*t^8.25*y + g1^9*t^8.25*y + (3*t^8.99*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3881 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_6$ | 0.6249 | 0.8151 | 0.7666 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.7826, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.09 + 3*t^2.35 + t^2.61 + 2*t^3.13 + 2*t^3.39 + 2*t^3.91 + 2*t^4.17 + 4*t^4.43 + 7*t^4.7 + 3*t^4.96 + 3*t^5.22 + 7*t^5.48 + 5*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 60825/97336, c: 19835/24334, M1: 22/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 18/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2839 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6244 | 0.8111 | 0.7698 | [X:[], M:[0.9936, 1.0191, 1.0064, 0.7548, 0.7548], q:[0.7484, 0.258], qb:[0.4841, 0.4968], phi:[0.5032]] | t^2.23 + 3*t^2.26 + 2*t^3.02 + 2*t^3.06 + t^3.7 + t^3.77 + t^4.41 + 2*t^4.45 + 4*t^4.49 + 6*t^4.53 + 2*t^5.25 + 7*t^5.28 + 5*t^5.32 + t^5.92 + t^5.96 - 3*t^6. - t^4.51/y - t^4.51*y | detail |