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 |
|---|---|---|---|---|---|---|---|---|---|
| 46920 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.645 | 0.8466 | 0.7619 | [X:[], M:[0.986, 1.014, 0.7605, 0.7605, 0.7885], q:[0.7465, 0.2675], qb:[0.493, 0.465], phi:[0.507]] | [X:[], M:[[4], [-4], [-3], [-3], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_3M_5$, $ M_4M_5$, $ M_5q_2\tilde{q}_1$, $ M_5^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1q_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -2 | t^2.2 + 3*t^2.28 + t^2.37 + t^2.87 + 2*t^3.04 + t^3.13 + t^3.8 + t^4.31 + 2*t^4.39 + 4*t^4.48 + 7*t^4.56 + 3*t^4.65 + t^4.73 + t^5.07 + 3*t^5.16 + 3*t^5.24 + 6*t^5.32 + 4*t^5.41 + t^5.49 + t^5.75 - 2*t^6. + 3*t^6.08 + 3*t^6.17 + t^6.25 + t^6.51 + 3*t^6.59 + 5*t^6.68 + 7*t^6.76 + 13*t^6.84 + 7*t^6.93 + 3*t^7.01 + t^7.1 + t^7.18 + t^7.27 + 4*t^7.35 + 6*t^7.44 + 7*t^7.52 + 14*t^7.61 + 9*t^7.69 + 4*t^7.77 + t^7.86 + t^7.95 + 2*t^8.03 - 2*t^8.11 - 5*t^8.2 - 6*t^8.28 + 4*t^8.37 + 7*t^8.45 + 5*t^8.53 + 3*t^8.62 + 2*t^8.71 + 4*t^8.79 + 3*t^8.87 + 4*t^8.96 - t^4.52/y - (2*t^6.8)/y - t^6.89/y + (4*t^7.48)/y + (3*t^7.56)/y + (3*t^7.65)/y + t^8.07/y + (4*t^8.16)/y + (5*t^8.24)/y + (7*t^8.32)/y + (5*t^8.41)/y + t^8.49/y + (2*t^8.92)/y - t^4.52*y - 2*t^6.8*y - t^6.89*y + 4*t^7.48*y + 3*t^7.56*y + 3*t^7.65*y + t^8.07*y + 4*t^8.16*y + 5*t^8.24*y + 7*t^8.32*y + 5*t^8.41*y + t^8.49*y + 2*t^8.92*y | g1^5*t^2.2 + (3*t^2.28)/g1^3 + t^2.37/g1^11 + g1^12*t^2.87 + (2*t^3.04)/g1^4 + t^3.13/g1^12 + t^3.8/g1^5 + g1^18*t^4.31 + 2*g1^10*t^4.39 + 4*g1^2*t^4.48 + (7*t^4.56)/g1^6 + (3*t^4.65)/g1^14 + t^4.73/g1^22 + g1^17*t^5.07 + 3*g1^9*t^5.16 + 3*g1*t^5.24 + (6*t^5.32)/g1^7 + (4*t^5.41)/g1^15 + t^5.49/g1^23 + g1^24*t^5.75 - 2*t^6. + (3*t^6.08)/g1^8 + (3*t^6.17)/g1^16 + t^6.25/g1^24 + g1^23*t^6.51 + 3*g1^15*t^6.59 + 5*g1^7*t^6.68 + (7*t^6.76)/g1 + (13*t^6.84)/g1^9 + (7*t^6.93)/g1^17 + (3*t^7.01)/g1^25 + t^7.1/g1^33 + g1^30*t^7.18 + g1^22*t^7.27 + 4*g1^14*t^7.35 + 6*g1^6*t^7.44 + (7*t^7.52)/g1^2 + (14*t^7.61)/g1^10 + (9*t^7.69)/g1^18 + (4*t^7.77)/g1^26 + t^7.86/g1^34 + g1^29*t^7.95 + 2*g1^21*t^8.03 - 2*g1^13*t^8.11 - 5*g1^5*t^8.2 - (6*t^8.28)/g1^3 + (4*t^8.37)/g1^11 + (7*t^8.45)/g1^19 + (5*t^8.53)/g1^27 + t^8.62/g1^35 + 2*g1^36*t^8.62 + 2*g1^28*t^8.71 + 4*g1^20*t^8.79 + 3*g1^12*t^8.87 + 4*g1^4*t^8.96 - t^4.52/(g1^2*y) - (2*t^6.8)/(g1^5*y) - t^6.89/(g1^13*y) + (4*g1^2*t^7.48)/y + (3*t^7.56)/(g1^6*y) + (3*t^7.65)/(g1^14*y) + (g1^17*t^8.07)/y + (4*g1^9*t^8.16)/y + (5*g1*t^8.24)/y + (7*t^8.32)/(g1^7*y) + (5*t^8.41)/(g1^15*y) + t^8.49/(g1^23*y) + (2*g1^8*t^8.92)/y - (t^4.52*y)/g1^2 - (2*t^6.8*y)/g1^5 - (t^6.89*y)/g1^13 + 4*g1^2*t^7.48*y + (3*t^7.56*y)/g1^6 + (3*t^7.65*y)/g1^14 + g1^17*t^8.07*y + 4*g1^9*t^8.16*y + 5*g1*t^8.24*y + (7*t^8.32*y)/g1^7 + (5*t^8.41*y)/g1^15 + (t^8.49*y)/g1^23 + 2*g1^8*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 55335 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6365 | 0.8349 | 0.7624 | [X:[], M:[0.9565, 1.0435, 0.7826, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | t^2.09 + 3*t^2.35 + 2*t^2.61 + 2*t^3.13 + t^3.39 + 2*t^3.91 + 2*t^4.17 + 4*t^4.43 + 8*t^4.7 + 6*t^4.96 + 5*t^5.22 + 6*t^5.48 + 4*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 123909/194672, c: 81263/97336, M1: 22/23, M2: 24/23, M3: 18/23, M4: 18/23, M5: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
| 55340 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6431 | 0.8464 | 0.7598 | [X:[], M:[1.0005, 0.9995, 0.7496, 0.7496, 0.7485, 0.9984], q:[0.7501, 0.2493], qb:[0.5003, 0.5013], phi:[0.4997]] | 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. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46362 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6285 | 0.8175 | 0.7689 | [X:[], M:[0.9769, 1.0231, 0.7673, 0.7673], q:[0.7442, 0.2789], qb:[0.4884, 0.4422], phi:[0.5116]] | t^2.16 + 3*t^2.3 + t^2.79 + 2*t^3.07 + t^3.21 + t^3.56 + t^3.84 + t^4.19 + 2*t^4.33 + 4*t^4.47 + 6*t^4.6 + t^4.96 + 3*t^5.09 + 2*t^5.23 + 6*t^5.37 + 2*t^5.51 + t^5.58 + t^5.72 + 3*t^5.86 - 2*t^6. - t^4.53/y - t^4.53*y | detail |