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 |
|---|---|---|---|---|---|---|---|---|---|
| 2935 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ | 0.6448 | 0.8473 | 0.761 | [X:[], M:[0.9867, 1.0399, 0.9867, 0.76, 0.7334, 0.7866], q:[0.7467, 0.2666], qb:[0.4668, 0.4934], phi:[0.5066]] | [X:[], M:[[4], [-12], [4], [-3], [5], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_6$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_6q_2\tilde{q}_2$, $ M_6^2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2M_5$, $ M_1M_6$, $ M_3M_6$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_6$, $ M_6\phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_2$ | $M_4q_1\tilde{q}_2$ | -2 | 2*t^2.2 + 2*t^2.28 + t^2.36 + 2*t^2.96 + 2*t^3.12 + t^3.72 + t^4.32 + 4*t^4.4 + 5*t^4.48 + 5*t^4.56 + 2*t^4.64 + t^4.72 + 4*t^5.16 + 4*t^5.24 + 5*t^5.32 + 3*t^5.4 + 2*t^5.48 + 3*t^5.92 - 2*t^6. + 2*t^6.08 + 3*t^6.24 + 2*t^6.52 + 6*t^6.6 + 9*t^6.68 + 8*t^6.76 + 8*t^6.84 + 4*t^6.92 + 2*t^7. + t^7.08 + t^7.28 + 6*t^7.36 + 7*t^7.44 + 11*t^7.52 + 8*t^7.6 + 9*t^7.68 + 3*t^7.76 + 2*t^7.84 + 2*t^8.12 - 4*t^8.2 - 2*t^8.28 - 2*t^8.36 + 6*t^8.44 + 4*t^8.52 + 3*t^8.6 + t^8.64 + 4*t^8.72 + 9*t^8.8 + 13*t^8.88 + 5*t^8.96 - t^4.52/y - t^6.72/y - t^6.8/y - t^6.88/y + (2*t^7.4)/y + (3*t^7.48)/y + (4*t^7.56)/y + t^7.64/y + (5*t^8.16)/y + (5*t^8.24)/y + (7*t^8.32)/y + (4*t^8.4)/y + (2*t^8.48)/y + (2*t^8.92)/y - t^4.52*y - t^6.72*y - t^6.8*y - t^6.88*y + 2*t^7.4*y + 3*t^7.48*y + 4*t^7.56*y + t^7.64*y + 5*t^8.16*y + 5*t^8.24*y + 7*t^8.32*y + 4*t^8.4*y + 2*t^8.48*y + 2*t^8.92*y | 2*g1^5*t^2.2 + (2*t^2.28)/g1^3 + t^2.36/g1^11 + 2*g1^4*t^2.96 + (2*t^3.12)/g1^12 + g1^3*t^3.72 + g1^18*t^4.32 + 4*g1^10*t^4.4 + 5*g1^2*t^4.48 + (5*t^4.56)/g1^6 + (2*t^4.64)/g1^14 + t^4.72/g1^22 + 4*g1^9*t^5.16 + 4*g1*t^5.24 + (5*t^5.32)/g1^7 + (3*t^5.4)/g1^15 + (2*t^5.48)/g1^23 + 3*g1^8*t^5.92 - 2*t^6. + (2*t^6.08)/g1^8 + (3*t^6.24)/g1^24 + 2*g1^23*t^6.52 + 6*g1^15*t^6.6 + 9*g1^7*t^6.68 + (8*t^6.76)/g1 + (8*t^6.84)/g1^9 + (4*t^6.92)/g1^17 + (2*t^7.)/g1^25 + t^7.08/g1^33 + g1^22*t^7.28 + 6*g1^14*t^7.36 + 7*g1^6*t^7.44 + (11*t^7.52)/g1^2 + (8*t^7.6)/g1^10 + (9*t^7.68)/g1^18 + (3*t^7.76)/g1^26 + (2*t^7.84)/g1^34 + 2*g1^13*t^8.12 - 4*g1^5*t^8.2 - (2*t^8.28)/g1^3 - (2*t^8.36)/g1^11 + (6*t^8.44)/g1^19 + (4*t^8.52)/g1^27 + (3*t^8.6)/g1^35 + g1^36*t^8.64 + 4*g1^28*t^8.72 + 9*g1^20*t^8.8 + 13*g1^12*t^8.88 + 5*g1^4*t^8.96 - t^4.52/(g1^2*y) - (g1^3*t^6.72)/y - t^6.8/(g1^5*y) - t^6.88/(g1^13*y) + (2*g1^10*t^7.4)/y + (3*g1^2*t^7.48)/y + (4*t^7.56)/(g1^6*y) + t^7.64/(g1^14*y) + (5*g1^9*t^8.16)/y + (5*g1*t^8.24)/y + (7*t^8.32)/(g1^7*y) + (4*t^8.4)/(g1^15*y) + (2*t^8.48)/(g1^23*y) + (2*g1^8*t^8.92)/y - (t^4.52*y)/g1^2 - g1^3*t^6.72*y - (t^6.8*y)/g1^5 - (t^6.88*y)/g1^13 + 2*g1^10*t^7.4*y + 3*g1^2*t^7.48*y + (4*t^7.56*y)/g1^6 + (t^7.64*y)/g1^14 + 5*g1^9*t^8.16*y + 5*g1*t^8.24*y + (7*t^8.32*y)/g1^7 + (4*t^8.4*y)/g1^15 + (2*t^8.48*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 |
|---|---|---|---|---|---|---|---|---|
| 3521 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_6$ | 0.6361 | 0.8372 | 0.7598 | [X:[], M:[0.9565, 1.1304, 0.9565, 0.7826, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 2*t^2.09 + 2*t^2.35 + t^2.61 + 2*t^2.87 + 2*t^3.39 + t^3.65 + t^3.91 + 4*t^4.17 + 5*t^4.43 + 5*t^4.7 + 6*t^4.96 + 5*t^5.22 + 5*t^5.48 + 6*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 61917/97336, c: 40745/48668, M1: 22/23, M2: 26/23, M3: 22/23, M4: 18/23, M5: 16/23, M6: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
| 3522 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6634 | 0.8811 | 0.753 | [X:[], M:[0.9884, 1.0347, 0.9884, 0.7587, 0.7355, 0.7818, 0.7587], q:[0.7471, 0.2645], qb:[0.4711, 0.4942], phi:[0.5058]] | 2*t^2.21 + 3*t^2.28 + t^2.35 + 2*t^2.97 + 2*t^3.1 + t^4.34 + 4*t^4.41 + 7*t^4.48 + 8*t^4.55 + 3*t^4.62 + t^4.69 + 4*t^5.17 + 6*t^5.24 + 5*t^5.31 + 5*t^5.38 + 2*t^5.45 + t^5.93 - 4*t^6. - t^4.52/y - t^4.52*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1906 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ | 0.6282 | 0.8185 | 0.7675 | [X:[], M:[0.9776, 1.0673, 0.9776, 0.7668, 0.7219], q:[0.7444, 0.2781], qb:[0.4439, 0.4888], phi:[0.5112]] | 2*t^2.17 + 2*t^2.3 + 2*t^2.93 + 2*t^3.2 + t^3.56 + t^3.7 + t^4.2 + 4*t^4.33 + 5*t^4.47 + 3*t^4.6 + 4*t^5.1 + 4*t^5.23 + 3*t^5.37 + 3*t^5.5 + 2*t^5.73 + 5*t^5.87 - 2*t^6. - t^4.53/y - t^4.53*y | detail |