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 |
|---|---|---|---|---|---|---|---|---|---|
| 6191 | 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$ + $ M_4M_7$ + $ M_1M_8$ + $ M_9q_1\tilde{q}_2$ | 0.6914 | 0.8476 | 0.8157 | [X:[], M:[0.9996, 1.0001, 1.0004, 0.9994, 1.0006, 1.0001, 1.0006, 1.0004, 0.9992], q:[0.5003, 0.5001], qb:[0.4993, 0.5005], phi:[0.4999]] | [X:[], M:[[-6], [2], [6], [-10], [10], [2], [10], [6], [-14]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_9$, $ M_2$, $ M_6$, $ M_3$, $ M_8$, $ M_5$, $ M_7$, $ \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_9^2$ | $M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_5$, $ M_3M_5$, $ M_5^2$, $ M_2M_6$, $ M_3M_6$, $ M_5M_6$, $ M_6^2$, $ M_2M_7$, $ M_3M_7$, $ M_5M_7$, $ M_6M_7$, $ M_7^2$, $ M_2M_8$, $ M_3M_8$, $ M_5M_8$, $ M_6M_8$, $ M_7M_8$, $ M_8^2$, $ M_2M_9$, $ M_3M_9$, $ M_5M_9$, $ M_6M_9$, $ M_7M_9$, $ M_8M_9$ | 10 | 7*t^3. + 10*t^4.5 + t^5.99 + 10*t^6. + t^7.49 + 29*t^7.5 + 2*t^8.99 - t^4.5/y - t^4.5*y | t^3./g1^14 + 2*g1^2*t^3. + 2*g1^6*t^3. + 2*g1^10*t^3. + t^4.5/g1^23 + t^4.5/g1^11 + t^4.5/g1^7 + t^4.5/g1^3 + g1*t^4.5 + g1^5*t^4.5 + 2*g1^9*t^4.5 + g1^13*t^4.5 + g1^17*t^4.5 + t^5.99/g1^28 - 4*t^6. - t^6./g1^20 - t^6./g1^16 + t^6./g1^12 + t^6./g1^8 + 3*g1^8*t^6. + 6*g1^12*t^6. + 3*g1^16*t^6. + 2*g1^20*t^6. + t^7.49/g1^37 + t^7.5/g1^25 + t^7.5/g1^21 + t^7.5/g1^17 + t^7.5/g1^13 + (2*t^7.5)/g1^5 + t^7.5/g1 + g1^3*t^7.5 + 2*g1^7*t^7.5 + 4*g1^11*t^7.5 + 5*g1^15*t^7.5 + 5*g1^19*t^7.5 + 3*g1^23*t^7.5 + 2*g1^27*t^7.5 + t^8.99/g1^46 + t^8.99/g1^42 - t^4.5/(g1*y) - t^7.5/(g1^15*y) + t^7.5/(g1^11*y) + t^7.5/(g1^7*y) + t^7.5/(g1^3*y) - (g1*t^7.5)/y - (g1^5*t^7.5)/y - (g1^9*t^7.5)/y + (g1^13*t^7.5)/y - (t^4.5*y)/g1 - (t^7.5*y)/g1^15 + (t^7.5*y)/g1^11 + (t^7.5*y)/g1^7 + (t^7.5*y)/g1^3 - g1*t^7.5*y - g1^5*t^7.5*y - g1^9*t^7.5*y + g1^13*t^7.5*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4637 | 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$ + $ M_4M_7$ + $ M_1M_8$ | 0.6935 | 0.855 | 0.8112 | [X:[], M:[1.0199, 0.9934, 0.9801, 1.0332, 0.9668, 0.9934, 0.9668, 0.9801], q:[0.4834, 0.4967], qb:[0.5365, 0.4701], phi:[0.5033]] | t^2.86 + 2*t^2.9 + 2*t^2.94 + 2*t^2.98 + t^4.33 + t^4.37 + 2*t^4.41 + t^4.45 + t^4.49 + t^4.53 + t^4.57 + t^4.61 + t^4.73 + t^5.72 + 2*t^5.76 + 4*t^5.8 + 5*t^5.84 + 6*t^5.88 + 3*t^5.92 - 4*t^6. - t^4.51/y - t^4.51*y | detail |