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 |
|---|---|---|---|---|---|---|---|---|---|
| 1485 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_6\phi_1^2$ | 0.6915 | 0.8474 | 0.816 | [X:[], M:[0.9967, 1.0011, 1.0033, 0.9946, 1.0054, 1.0011], q:[0.5027, 0.5005], qb:[0.494, 0.5049], phi:[0.4995]] | [X:[], M:[[-6], [2], [6], [-10], [10], [2]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_2$, $ M_6$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4M_6$, $ M_1M_2$, $ M_3M_4$, $ M_1M_6$ | . | -2 | t^2.98 + t^2.99 + 2*t^3. + t^3.01 + 2*t^3.02 + t^4.46 + t^4.48 + t^4.49 + 2*t^4.5 + 3*t^4.51 + t^4.52 + t^4.53 + 2*t^5.99 - 2*t^6. + 4*t^6.01 + 2*t^6.02 + 3*t^6.03 + t^6.04 + t^6.05 + 2*t^7.45 + 2*t^7.47 + t^7.48 + 3*t^7.49 + 3*t^7.5 + 3*t^7.51 + 7*t^7.52 + 3*t^7.53 + 5*t^7.54 + t^7.55 + t^8.92 + t^8.94 + t^8.95 + t^8.97 - t^8.99 - t^4.5/y + t^8.97/y + (5*t^8.99)/y - t^4.5*y + t^8.97*y + 5*t^8.99*y | t^2.98/g1^10 + t^2.99/g1^6 + 2*g1^2*t^3. + g1^6*t^3.01 + g1^10*t^3.02 + g1^14*t^3.02 + t^4.46/g1^23 + t^4.48/g1^11 + t^4.49/g1^7 + t^4.5/g1^3 + g1*t^4.5 + g1^5*t^4.51 + 2*g1^9*t^4.51 + g1^13*t^4.52 + g1^17*t^4.53 + t^5.99/g1^8 + t^5.99/g1^4 - 2*t^6. + 2*g1^4*t^6.01 + 2*g1^8*t^6.01 + 2*g1^12*t^6.02 + 2*g1^16*t^6.03 + g1^20*t^6.03 + g1^24*t^6.04 + g1^28*t^6.05 + t^7.45/g1^33 + t^7.45/g1^29 + t^7.47/g1^21 + t^7.47/g1^17 + t^7.48/g1^13 + (2*t^7.49)/g1^9 + t^7.49/g1^5 + t^7.5/g1 + 2*g1^3*t^7.5 + 3*g1^7*t^7.51 + 4*g1^11*t^7.52 + 3*g1^15*t^7.52 + 3*g1^19*t^7.53 + 3*g1^23*t^7.54 + 2*g1^27*t^7.54 + g1^31*t^7.55 + t^8.92/g1^46 + t^8.94/g1^34 + t^8.95/g1^30 + t^8.97/g1^18 + t^8.98/g1^14 - t^8.98/g1^10 - t^8.99/g1^6 - t^4.5/(g1*y) + t^7.5/(g1^3*y) - (g1*t^7.5)/y + t^8.97/(g1^16*y) + (2*t^8.99)/(g1^8*y) + (3*t^8.99)/(g1^4*y) - (t^4.5*y)/g1 + (t^7.5*y)/g1^3 - g1*t^7.5*y + (t^8.97*y)/g1^16 + (2*t^8.99*y)/g1^8 + (3*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 2562 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_6\phi_1^2$ + $ M_1M_7$ | 0.6916 | 0.8487 | 0.8149 | [X:[], M:[1.0055, 0.9982, 0.9945, 1.0091, 0.9909, 0.9982, 0.9945], q:[0.4955, 0.4991], qb:[0.51, 0.4918], phi:[0.5009]] | t^2.96 + t^2.97 + 2*t^2.98 + 2*t^2.99 + t^3.03 + t^4.45 + t^4.46 + 2*t^4.48 + t^4.49 + t^4.5 + t^4.51 + t^4.52 + t^4.53 + t^4.56 + t^5.92 + t^5.93 + 2*t^5.95 + 3*t^5.96 + 4*t^5.97 + 3*t^5.98 + t^5.99 - 3*t^6. - t^4.5/y - t^4.5*y | detail | |
| 2557 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_6\phi_1^2$ + $ M_3M_7$ | 0.6922 | 0.8481 | 0.8162 | [X:[], M:[0.9881, 1.004, 1.0119, 0.9801, 1.0199, 1.004, 0.9881], q:[0.5099, 0.502], qb:[0.4781, 0.5179], phi:[0.498]] | t^2.94 + 2*t^2.96 + 2*t^3.01 + t^3.06 + t^3.08 + t^4.36 + t^4.43 + t^4.46 + t^4.48 + t^4.51 + t^4.53 + 2*t^4.55 + t^4.58 + t^4.6 + t^5.9 + 2*t^5.93 + t^5.95 + 2*t^5.98 - 3*t^6. - t^4.49/y - t^4.49*y | detail | |
| 2561 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_6\phi_1^2$ + $ M_4M_7$ | 0.6921 | 0.8506 | 0.8137 | [X:[], M:[1.0113, 0.9962, 0.9887, 1.0188, 0.9812, 0.9962, 0.9812], q:[0.4906, 0.4981], qb:[0.5206, 0.4831], phi:[0.5019]] | t^2.92 + 2*t^2.94 + t^2.97 + 2*t^2.99 + t^3.03 + t^4.4 + t^4.43 + 2*t^4.45 + t^4.47 + t^4.49 + t^4.52 + t^4.54 + t^4.56 + t^4.63 + t^5.84 + 2*t^5.86 + 3*t^5.89 + 3*t^5.91 + 4*t^5.93 + 2*t^5.95 + 2*t^5.98 - 3*t^6. - t^4.51/y - t^4.51*y | detail | |
| 2558 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_6\phi_1^2$ + $ M_5M_7$ | 0.6931 | 0.8495 | 0.8159 | [X:[], M:[0.9824, 1.0059, 1.0176, 0.9707, 1.0293, 1.0059, 0.9707], q:[0.5146, 0.5029], qb:[0.4678, 0.5264], phi:[0.4971]] | 2*t^2.91 + t^2.95 + 2*t^3.02 + t^3.05 + t^3.12 + t^4.3 + t^4.4 + t^4.44 + t^4.47 + t^4.51 + t^4.54 + 2*t^4.58 + t^4.61 + t^4.65 + 2*t^5.82 + t^5.86 + 3*t^5.93 + 2*t^5.96 - 3*t^6. - t^4.49/y - t^4.49*y | detail | |
| 2560 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_6\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.5234 | 0.6631 | 0.7893 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 1.2941, 1.0588], q:[0.6471, 0.5294], qb:[0.1765, 0.7647], phi:[0.4706]] | t^2.12 + 2*t^2.47 + 2*t^3.18 + 2*t^3.53 + 2*t^3.88 + 2*t^4.24 + 2*t^4.59 + 3*t^4.94 + 3*t^5.29 + 3*t^5.65 + t^6. - t^4.41/y - t^4.41*y | detail | {a: 20571/39304, c: 13031/19652, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 22/17, M6: 18/17, q1: 11/17, q2: 9/17, qb1: 3/17, qb2: 13/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 958 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_1M_3$ | 0.6916 | 0.8474 | 0.8161 | [X:[], M:[0.9938, 1.0021, 1.0062, 0.9897, 1.0103], q:[0.5051, 0.501], qb:[0.4887, 0.5092], phi:[0.499]] | t^2.97 + t^2.98 + t^2.99 + t^3.01 + t^3.02 + t^3.03 + t^3.04 + t^4.43 + t^4.47 + t^4.48 + t^4.49 + t^4.5 + t^4.52 + 2*t^4.53 + t^4.54 + t^4.55 + t^5.96 + t^5.98 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |