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 |
|---|---|---|---|---|---|---|---|---|---|
| 4330 | 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7323 | 0.9198 | 0.7962 | [X:[], M:[0.9203, 1.0399, 1.0, 1.0797, 0.8405, 0.9203, 0.9203, 0.6794], q:[0.5, 0.5797], qb:[0.4203, 0.5797], phi:[0.4801]] | [X:[], M:[[-4], [2], [0], [4], [-8], [-4], [-4], [9]], q:[[0], [4]], qb:[[-4], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_5$, $ M_1$, $ M_6$, $ M_7$, $ M_3$, $ q_2\tilde{q}_1$, $ M_2$, $ M_8^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_8$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_8$, $ M_6M_8$, $ M_7M_8$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_3M_8$, $ M_8q_2\tilde{q}_1$, $ M_2M_8$, $ M_1M_5$, $ M_5M_6$, $ M_5M_7$, $ M_1^2$, $ M_3M_5$, $ M_1M_6$, $ M_6^2$, $ M_1M_7$, $ M_6M_7$, $ M_7^2$, $ M_5q_2\tilde{q}_1$, $ M_2M_5$, $ M_1M_3$, $ M_3M_6$, $ M_3M_7$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_6$, $ M_2M_7$ | $q_2^2\tilde{q}_1^2$ | -3 | t^2.04 + t^2.52 + 3*t^2.76 + 2*t^3. + t^3.12 + t^4.08 + t^4.2 + 3*t^4.44 + t^4.56 + 2*t^4.68 + 3*t^4.8 + 3*t^4.92 + 3*t^5.04 + t^5.16 + 3*t^5.28 + 6*t^5.52 + t^5.64 + 3*t^5.76 + 3*t^5.88 - 3*t^6. + t^6.11 + 2*t^6.12 - 2*t^6.24 + t^6.48 + t^6.6 + 3*t^6.72 + 3*t^6.84 + 7*t^6.96 + 2*t^7.08 + 9*t^7.2 + 3*t^7.32 + 7*t^7.44 + 7*t^7.56 + 6*t^7.68 + 6*t^7.8 + 4*t^7.92 + 3*t^8.04 + t^8.15 + t^8.16 + 5*t^8.28 + 3*t^8.4 + 8*t^8.64 - 10*t^8.76 + 9*t^8.88 - t^4.44/y - t^6.48/y - t^6.96/y - (2*t^7.2)/y + t^7.56/y + (2*t^7.68)/y + (3*t^7.8)/y + t^7.92/y + (2*t^8.04)/y + t^8.16/y + (3*t^8.28)/y + t^8.4/y + (4*t^8.52)/y + t^8.64/y + (6*t^8.76)/y + (3*t^8.88)/y - t^4.44*y - t^6.48*y - t^6.96*y - 2*t^7.2*y + t^7.56*y + 2*t^7.68*y + 3*t^7.8*y + t^7.92*y + 2*t^8.04*y + t^8.16*y + 3*t^8.28*y + t^8.4*y + 4*t^8.52*y + t^8.64*y + 6*t^8.76*y + 3*t^8.88*y | g1^9*t^2.04 + t^2.52/g1^8 + (3*t^2.76)/g1^4 + 2*t^3. + g1^2*t^3.12 + g1^18*t^4.08 + t^4.2/g1^5 + (3*t^4.44)/g1 + g1*t^4.56 + 2*g1^3*t^4.68 + 3*g1^5*t^4.8 + 3*g1^7*t^4.92 + t^5.04/g1^16 + 2*g1^9*t^5.04 + g1^11*t^5.16 + (3*t^5.28)/g1^12 + (6*t^5.52)/g1^8 + t^5.64/g1^6 + (3*t^5.76)/g1^4 + (3*t^5.88)/g1^2 - 3*t^6. + g1^27*t^6.11 + 2*g1^2*t^6.12 - 2*g1^4*t^6.24 + g1^8*t^6.48 + g1^10*t^6.6 + t^6.72/g1^13 + 2*g1^12*t^6.72 + 3*g1^14*t^6.84 + (4*t^6.96)/g1^9 + 3*g1^16*t^6.96 + 2*g1^18*t^7.08 + (8*t^7.2)/g1^5 + g1^20*t^7.2 + (3*t^7.32)/g1^3 + (7*t^7.44)/g1 + t^7.56/g1^24 + 6*g1*t^7.56 + 6*g1^3*t^7.68 + (3*t^7.8)/g1^20 + 3*g1^5*t^7.8 + 4*g1^7*t^7.92 + (6*t^8.04)/g1^16 - 3*g1^9*t^8.04 + g1^36*t^8.15 + t^8.16/g1^14 + (7*t^8.28)/g1^12 - 2*g1^13*t^8.28 + (3*t^8.4)/g1^10 - t^8.52/g1^8 + g1^17*t^8.52 + (7*t^8.64)/g1^6 + g1^19*t^8.64 - (12*t^8.76)/g1^4 + 2*g1^21*t^8.76 + (6*t^8.88)/g1^2 + 3*g1^23*t^8.88 - t^4.44/(g1*y) - (g1^8*t^6.48)/y - t^6.96/(g1^9*y) - (2*t^7.2)/(g1^5*y) + (g1*t^7.56)/y + (2*g1^3*t^7.68)/y + (3*g1^5*t^7.8)/y + (g1^7*t^7.92)/y + (2*g1^9*t^8.04)/y + (g1^11*t^8.16)/y + (3*t^8.28)/(g1^12*y) + t^8.4/(g1^10*y) + (5*t^8.52)/(g1^8*y) - (g1^17*t^8.52)/y + t^8.64/(g1^6*y) + (6*t^8.76)/(g1^4*y) + (3*t^8.88)/(g1^2*y) - (t^4.44*y)/g1 - g1^8*t^6.48*y - (t^6.96*y)/g1^9 - (2*t^7.2*y)/g1^5 + g1*t^7.56*y + 2*g1^3*t^7.68*y + 3*g1^5*t^7.8*y + g1^7*t^7.92*y + 2*g1^9*t^8.04*y + g1^11*t^8.16*y + (3*t^8.28*y)/g1^12 + (t^8.4*y)/g1^10 + (5*t^8.52*y)/g1^8 - g1^17*t^8.52*y + (t^8.64*y)/g1^6 + (6*t^8.76*y)/g1^4 + (3*t^8.88*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5783 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_2M_8$ + $ M_5X_1$ | 0.6658 | 0.8305 | 0.8016 | [X:[1.3636], M:[0.8182, 1.0909, 1.0, 1.1818, 0.6364, 0.8182, 0.8182, 0.9091], q:[0.5, 0.6818], qb:[0.3182, 0.6818], phi:[0.4545]] | 3*t^2.45 + t^2.73 + 2*t^3. + t^3.27 + t^3.82 + t^4.09 + 3*t^4.36 + 6*t^4.91 + 3*t^5.18 + 7*t^5.45 + 5*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 7089/10648, c: 17687/21296, X1: 15/11, M1: 9/11, M2: 12/11, M3: 1, M4: 13/11, M5: 7/11, M6: 9/11, M7: 9/11, M8: 10/11, q1: 1/2, q2: 15/22, qb1: 7/22, qb2: 15/22, phi1: 5/11} |
| 5776 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_8^2$ + $ M_5X_1$ | 0.6265 | 0.7863 | 0.7969 | [X:[1.4444], M:[0.7778, 1.1111, 1.0, 1.2222, 0.5556, 0.7778, 0.7778, 1.0], q:[0.5, 0.7222], qb:[0.2778, 0.7222], phi:[0.4444]] | 3*t^2.33 + 3*t^3. + t^3.33 + t^3.67 + 4*t^4.33 + 4*t^4.67 + 2*t^5. + 6*t^5.33 + 6*t^5.67 + t^6. - t^4.33/y - t^4.33*y | detail | {a: 203/324, c: 1019/1296, X1: 13/9, M1: 7/9, M2: 10/9, M3: 1, M4: 11/9, M5: 5/9, M6: 7/9, M7: 7/9, M8: 1, q1: 1/2, q2: 13/18, qb1: 5/18, qb2: 13/18, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2340 | 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.7115 | 0.8794 | 0.8092 | [X:[], M:[0.9178, 1.0411, 1.0, 1.0822, 0.8355, 0.9178, 0.9178], q:[0.5, 0.5822], qb:[0.4178, 0.5822], phi:[0.4794]] | t^2.51 + 3*t^2.75 + 2*t^3. + t^3.12 + t^3.94 + t^4.19 + 3*t^4.44 + 2*t^4.69 + 3*t^4.93 + t^5.01 + 3*t^5.26 + 6*t^5.51 + t^5.63 + 3*t^5.75 + 3*t^5.88 - 3*t^6. - t^4.44/y - t^4.44*y | detail |