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 |
|---|---|---|---|---|---|---|---|---|---|
| 6551 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ + $ M_8\phi_1q_1^2$ + $ M_9\phi_1q_1\tilde{q}_2$ | 0.6457 | 0.8506 | 0.7591 | [X:[], M:[1.0, 1.0225, 0.955, 1.2556, 0.6994, 0.7444, 0.7444, 1.0225, 0.7219], q:[0.2444, 0.7556], qb:[0.5, 0.545], phi:[0.4888]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [-1], [4], [-5]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_9$, $ M_6$, $ M_7$, $ q_1\tilde{q}_2$, $ M_3$, $ M_1$, $ M_2$, $ M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_5M_9$, $ M_5M_6$, $ M_5M_7$, $ M_9^2$, $ M_6M_9$, $ M_7M_9$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_9q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_3M_9$, $ M_1M_5$, $ M_3M_6$, $ M_3M_7$, $ M_2M_5$, $ M_5M_8$, $ M_1M_9$, $ M_1M_6$, $ M_1M_7$, $ M_2M_9$, $ M_8M_9$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_2M_7$, $ M_6M_8$, $ M_7M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_8q_1\tilde{q}_2$, $ M_3^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_9\phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_3M_8$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$ | . | -3 | t^2.1 + t^2.17 + 2*t^2.23 + t^2.37 + t^2.87 + t^3. + 2*t^3.07 + t^3.7 + t^4.2 + t^4.26 + 3*t^4.33 + 2*t^4.4 + 5*t^4.47 + t^4.53 + 3*t^4.6 + 2*t^4.74 + t^4.96 + t^5.03 + 2*t^5.1 + 3*t^5.17 + 4*t^5.23 + 4*t^5.3 + t^5.37 + 2*t^5.44 + t^5.73 + t^5.8 + t^5.87 + 3*t^5.93 - 3*t^6. + 2*t^6.07 + t^6.13 + t^6.29 + t^6.36 + 3*t^6.43 + 3*t^6.5 + 7*t^6.56 + 4*t^6.63 + 8*t^6.7 + 2*t^6.77 + 5*t^6.83 + 4*t^6.97 + t^7.06 + 2*t^7.1 + t^7.13 + 3*t^7.2 + 4*t^7.26 + 6*t^7.33 + 8*t^7.4 + 6*t^7.47 + 7*t^7.53 + 3*t^7.6 + 4*t^7.67 + t^7.74 + 3*t^7.8 + t^7.83 + 2*t^7.9 + 2*t^7.96 + 4*t^8.03 - t^8.1 + 3*t^8.17 - 5*t^8.23 + 3*t^8.3 - 3*t^8.37 + t^8.39 + t^8.44 + t^8.46 + 3*t^8.53 + 4*t^8.6 + 8*t^8.66 + 7*t^8.73 + 12*t^8.8 + 3*t^8.87 + 11*t^8.93 - t^4.47/y - t^6.56/y - t^6.63/y - t^6.7/y + t^7.26/y + t^7.33/y + (3*t^7.4)/y + (2*t^7.47)/y + (3*t^7.6)/y + t^7.96/y + t^8.03/y + (3*t^8.1)/y + (3*t^8.17)/y + (6*t^8.23)/y + (5*t^8.3)/y + (2*t^8.37)/y + (2*t^8.44)/y - t^8.66/y - t^8.73/y - t^8.8/y + t^8.87/y + (3*t^8.93)/y - t^4.47*y - t^6.56*y - t^6.63*y - t^6.7*y + t^7.26*y + t^7.33*y + 3*t^7.4*y + 2*t^7.47*y + 3*t^7.6*y + t^7.96*y + t^8.03*y + 3*t^8.1*y + 3*t^8.17*y + 6*t^8.23*y + 5*t^8.3*y + 2*t^8.37*y + 2*t^8.44*y - t^8.66*y - t^8.73*y - t^8.8*y + t^8.87*y + 3*t^8.93*y | t^2.1/g1^9 + t^2.17/g1^5 + (2*t^2.23)/g1 + g1^7*t^2.37 + t^2.87/g1^8 + t^3. + 2*g1^4*t^3.07 + t^3.7/g1^3 + t^4.2/g1^18 + t^4.26/g1^14 + (3*t^4.33)/g1^10 + (2*t^4.4)/g1^6 + (5*t^4.47)/g1^2 + g1^2*t^4.53 + 3*g1^6*t^4.6 + 2*g1^14*t^4.74 + t^4.96/g1^17 + t^5.03/g1^13 + (2*t^5.1)/g1^9 + (3*t^5.17)/g1^5 + (4*t^5.23)/g1 + 4*g1^3*t^5.3 + g1^7*t^5.37 + 2*g1^11*t^5.44 + t^5.73/g1^16 + t^5.8/g1^12 + t^5.87/g1^8 + (3*t^5.93)/g1^4 - 3*t^6. + 2*g1^4*t^6.07 + g1^8*t^6.13 + t^6.29/g1^27 + t^6.36/g1^23 + (3*t^6.43)/g1^19 + (3*t^6.5)/g1^15 + (7*t^6.56)/g1^11 + (4*t^6.63)/g1^7 + (8*t^6.7)/g1^3 + 2*g1*t^6.77 + 5*g1^5*t^6.83 + 4*g1^13*t^6.97 + t^7.06/g1^26 + 2*g1^21*t^7.1 + t^7.13/g1^22 + (3*t^7.2)/g1^18 + (4*t^7.26)/g1^14 + (6*t^7.33)/g1^10 + (8*t^7.4)/g1^6 + (6*t^7.47)/g1^2 + 7*g1^2*t^7.53 + 3*g1^6*t^7.6 + 4*g1^10*t^7.67 + g1^14*t^7.74 + 3*g1^18*t^7.8 + t^7.83/g1^25 + (2*t^7.9)/g1^21 + (2*t^7.96)/g1^17 + (4*t^8.03)/g1^13 - t^8.1/g1^9 + (3*t^8.17)/g1^5 - (5*t^8.23)/g1 + 3*g1^3*t^8.3 - 3*g1^7*t^8.37 + t^8.39/g1^36 + g1^11*t^8.44 + t^8.46/g1^32 + (3*t^8.53)/g1^28 + (4*t^8.6)/g1^24 + (8*t^8.66)/g1^20 + (7*t^8.73)/g1^16 + (12*t^8.8)/g1^12 + (3*t^8.87)/g1^8 + (11*t^8.93)/g1^4 - t^4.47/(g1^2*y) - t^6.56/(g1^11*y) - t^6.63/(g1^7*y) - t^6.7/(g1^3*y) + t^7.26/(g1^14*y) + t^7.33/(g1^10*y) + (3*t^7.4)/(g1^6*y) + (2*t^7.47)/(g1^2*y) + (3*g1^6*t^7.6)/y + t^7.96/(g1^17*y) + t^8.03/(g1^13*y) + (3*t^8.1)/(g1^9*y) + (3*t^8.17)/(g1^5*y) + (6*t^8.23)/(g1*y) + (5*g1^3*t^8.3)/y + (2*g1^7*t^8.37)/y + (2*g1^11*t^8.44)/y - t^8.66/(g1^20*y) - t^8.73/(g1^16*y) - t^8.8/(g1^12*y) + t^8.87/(g1^8*y) + (3*t^8.93)/(g1^4*y) - (t^4.47*y)/g1^2 - (t^6.56*y)/g1^11 - (t^6.63*y)/g1^7 - (t^6.7*y)/g1^3 + (t^7.26*y)/g1^14 + (t^7.33*y)/g1^10 + (3*t^7.4*y)/g1^6 + (2*t^7.47*y)/g1^2 + 3*g1^6*t^7.6*y + (t^7.96*y)/g1^17 + (t^8.03*y)/g1^13 + (3*t^8.1*y)/g1^9 + (3*t^8.17*y)/g1^5 + (6*t^8.23*y)/g1 + 5*g1^3*t^8.3*y + 2*g1^7*t^8.37*y + 2*g1^11*t^8.44*y - (t^8.66*y)/g1^20 - (t^8.73*y)/g1^16 - (t^8.8*y)/g1^12 + (t^8.87*y)/g1^8 + (3*t^8.93*y)/g1^4 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4959 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ \phi_1q_2^2$ + $ M_4M_7$ + $ M_8\phi_1q_1^2$ | 0.6258 | 0.8133 | 0.7694 | [X:[], M:[1.0, 1.0189, 0.9623, 1.2547, 0.7076, 0.7453, 0.7453, 1.0189], q:[0.2453, 0.7547], qb:[0.5, 0.5377], phi:[0.4906]] | t^2.12 + 2*t^2.24 + t^2.35 + t^2.89 + t^3. + 2*t^3.06 + t^3.71 + t^3.82 + t^4.25 + 2*t^4.36 + 5*t^4.47 + 3*t^4.58 + 2*t^4.7 + t^5.01 + 2*t^5.12 + 2*t^5.18 + 2*t^5.24 + 4*t^5.29 + t^5.35 + 2*t^5.41 + t^5.77 + t^5.83 + 4*t^5.94 - 3*t^6. - t^4.47/y - t^4.47*y | detail |