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 |
|---|---|---|---|---|---|---|---|---|---|
| 4356 | 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_7q_1\tilde{q}_2$ | 0.7243 | 0.8996 | 0.8051 | [X:[], M:[0.7502, 1.1111, 1.0276, 0.9724, 0.8054, 1.0, 0.7778, 0.9724], q:[0.6387, 0.6111], qb:[0.3889, 0.5835], phi:[0.4444]] | [X:[], M:[[1], [0], [-1], [1], [-1], [0], [0], [1]], q:[[-1], [0]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_7$, $ M_5$, $ M_4$, $ M_8$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_7$, $ M_1M_5$, $ M_7^2$, $ M_5M_7$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_1M_8$, $ M_1M_6$, $ M_4M_7$, $ M_7M_8$, $ M_4M_5$, $ M_6M_7$, $ M_5M_8$, $ M_1M_2$, $ M_2M_7$, $ M_2M_5$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_4M_6$, $ M_6M_8$ | . | -2 | t^2.25 + t^2.33 + t^2.42 + 2*t^2.92 + t^3. + t^3.33 + t^3.67 + t^4.25 + t^4.33 + t^4.42 + t^4.5 + t^4.58 + 2*t^4.67 + t^4.75 + 2*t^4.83 + t^4.92 + 2*t^5. + t^5.08 + 3*t^5.17 + 2*t^5.25 + 2*t^5.33 + t^5.58 + t^5.67 + t^5.75 + 2*t^5.83 + t^5.92 - 2*t^6. - t^6.08 - t^6.17 + 2*t^6.25 + t^6.33 + t^6.5 + 2*t^6.58 + 2*t^6.67 + t^6.75 + 2*t^6.83 + 2*t^6.92 + 2*t^7. + 2*t^7.08 + t^7.09 + 4*t^7.17 + 5*t^7.25 + 4*t^7.33 + 4*t^7.42 + 3*t^7.5 + 4*t^7.58 + t^7.67 + 3*t^7.75 + 3*t^7.83 + 4*t^7.92 + 3*t^8. + 2*t^8.08 + 2*t^8.09 + 3*t^8.17 - 2*t^8.25 - 4*t^8.33 - 5*t^8.42 + 2*t^8.5 + t^8.58 + 3*t^8.67 + 3*t^8.75 + 2*t^8.83 - 4*t^8.92 - t^4.33/y - t^6.58/y - t^6.67/y - t^6.75/y - t^7.25/y + t^7.42/y + t^7.58/y + t^7.67/y + t^7.75/y + t^7.92/y + t^8./y + t^8.08/y + (2*t^8.17)/y + (3*t^8.25)/y + (3*t^8.33)/y + t^8.42/y + t^8.58/y + t^8.67/y + t^8.75/y + (2*t^8.92)/y - t^4.33*y - t^6.58*y - t^6.67*y - t^6.75*y - t^7.25*y + t^7.42*y + t^7.58*y + t^7.67*y + t^7.75*y + t^7.92*y + t^8.*y + t^8.08*y + 2*t^8.17*y + 3*t^8.25*y + 3*t^8.33*y + t^8.42*y + t^8.58*y + t^8.67*y + t^8.75*y + 2*t^8.92*y | g1*t^2.25 + t^2.33 + t^2.42/g1 + 2*g1*t^2.92 + t^3. + t^3.33 + t^3.67 + g1*t^4.25 + t^4.33 + t^4.42/g1 + g1^2*t^4.5 + g1*t^4.58 + 2*t^4.67 + t^4.75/g1 + t^4.83/g1^2 + g1^2*t^4.83 + g1*t^4.92 + 2*t^5. + t^5.08/g1 + t^5.17/g1^2 + 2*g1^2*t^5.17 + 2*g1*t^5.25 + 2*t^5.33 + g1*t^5.58 + t^5.67 + t^5.75/g1 + 2*g1^2*t^5.83 + g1*t^5.92 - 2*t^6. - t^6.08/g1 - t^6.17/g1^2 + 2*g1*t^6.25 + t^6.33 + g1^2*t^6.5 + 2*g1*t^6.58 + 2*t^6.67 + g1^3*t^6.75 + t^6.83/g1^2 + g1^2*t^6.83 + 2*g1*t^6.92 + 2*t^7. + (2*t^7.08)/g1 + g1^3*t^7.09 + t^7.17/g1^2 + 3*g1^2*t^7.17 + t^7.25/g1^3 + 4*g1*t^7.25 + 4*t^7.33 + (2*t^7.42)/g1 + 2*g1^3*t^7.42 + t^7.5/g1^2 + 2*g1^2*t^7.5 + t^7.58/g1^3 + 3*g1*t^7.58 + t^7.67 + t^7.75/g1 + 2*g1^3*t^7.75 + 3*g1^2*t^7.83 + 4*g1*t^7.92 + 3*t^8. + (2*t^8.08)/g1 + 2*g1^3*t^8.09 + t^8.17/g1^2 + 2*g1^2*t^8.17 - 2*g1*t^8.25 - 4*t^8.33 - (5*t^8.42)/g1 - t^8.5/g1^2 + 3*g1^2*t^8.5 - t^8.58/g1^3 + 2*g1*t^8.58 + 3*t^8.67 + 3*g1^3*t^8.75 + t^8.83/g1^2 + g1^2*t^8.83 - 4*g1*t^8.92 - t^4.33/y - (g1*t^6.58)/y - t^6.67/y - t^6.75/(g1*y) - (g1*t^7.25)/y + t^7.42/(g1*y) + (g1*t^7.58)/y + t^7.67/y + t^7.75/(g1*y) + (g1*t^7.92)/y + t^8./y + t^8.08/(g1*y) + (2*g1^2*t^8.17)/y + (3*g1*t^8.25)/y + (3*t^8.33)/y + t^8.42/(g1*y) + (g1*t^8.58)/y + t^8.67/y + t^8.75/(g1*y) + (2*g1*t^8.92)/y - t^4.33*y - g1*t^6.58*y - t^6.67*y - (t^6.75*y)/g1 - g1*t^7.25*y + (t^7.42*y)/g1 + g1*t^7.58*y + t^7.67*y + (t^7.75*y)/g1 + g1*t^7.92*y + t^8.*y + (t^8.08*y)/g1 + 2*g1^2*t^8.17*y + 3*g1*t^8.25*y + 3*t^8.33*y + (t^8.42*y)/g1 + g1*t^8.58*y + t^8.67*y + (t^8.75*y)/g1 + 2*g1*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 |
|---|---|---|---|---|---|---|---|---|
| 5806 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5X_1$ | 0.6713 | 0.8171 | 0.8215 | [X:[1.3333], M:[0.8889, 1.1111, 0.8889, 1.1111, 0.6667, 1.0, 0.7778, 1.1111], q:[0.5, 0.6111], qb:[0.3889, 0.7222], phi:[0.4444]] | t^2.33 + t^2.67 + t^3. + 3*t^3.33 + t^3.67 + 2*t^4. + 2*t^4.33 + 3*t^4.67 + 2*t^5. + t^5.33 + 2*t^5.67 + t^6. - t^4.33/y - t^4.33*y | detail | {a: 145/216, c: 353/432, X1: 4/3, M1: 8/9, M2: 10/9, M3: 8/9, M4: 10/9, M5: 2/3, M6: 1, M7: 7/9, M8: 10/9, q1: 1/2, q2: 11/18, qb1: 7/18, qb2: 13/18, phi1: 4/9} |
| 5802 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_7q_1\tilde{q}_2$ + $ M_4M_9$ | 0.723 | 0.8966 | 0.8064 | [X:[], M:[0.7778, 1.1111, 1.0, 1.0, 0.7778, 1.0, 0.7778, 1.0, 1.0], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | 3*t^2.33 + 3*t^3. + t^3.33 + t^3.67 + 3*t^4.33 + 6*t^4.67 + 6*t^5. + 6*t^5.33 + 3*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 937/1296, c: 581/648, M1: 7/9, M2: 10/9, M3: 1, M4: 1, M5: 7/9, M6: 1, M7: 7/9, M8: 1, M9: 1, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 5814 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_7q_1\tilde{q}_2$ + $ M_4^2$ | 0.723 | 0.8966 | 0.8064 | [X:[], M:[0.7778, 1.1111, 1.0, 1.0, 0.7778, 1.0, 0.7778, 1.0], q:[0.6111, 0.6111], qb:[0.3889, 0.6111], phi:[0.4444]] | 3*t^2.33 + 3*t^3. + t^3.33 + t^3.67 + 3*t^4.33 + 6*t^4.67 + 6*t^5. + 6*t^5.33 + 3*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 937/1296, c: 581/648, M1: 7/9, M2: 10/9, M3: 1, M4: 1, M5: 7/9, M6: 1, M7: 7/9, M8: 1, q1: 11/18, q2: 11/18, qb1: 7/18, qb2: 11/18, phi1: 4/9} |
| 5805 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_7q_1\tilde{q}_2$ + $ M_5^2$ + $ M_1X_1$ | 0.6404 | 0.8002 | 0.8004 | [X:[1.4444], M:[0.5556, 1.1111, 1.2222, 0.7778, 1.0, 1.0, 0.7778, 0.7778], q:[0.8333, 0.6111], qb:[0.3889, 0.3889], phi:[0.4444]] | 3*t^2.33 + 2*t^3. + t^3.33 + 3*t^3.67 + 3*t^4.33 + 4*t^4.67 + 3*t^5. + 3*t^5.33 + 4*t^5.67 + 4*t^6. - t^4.33/y - t^4.33*y | detail | {a: 415/648, c: 1037/1296, X1: 13/9, M1: 5/9, M2: 10/9, M3: 11/9, M4: 7/9, M5: 1, M6: 1, M7: 7/9, M8: 7/9, q1: 5/6, q2: 11/18, qb1: 7/18, qb2: 7/18, phi1: 4/9} |
| 5817 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_7q_1\tilde{q}_2$ + $ M_7M_9$ | 0.7065 | 0.868 | 0.814 | [X:[], M:[0.7502, 1.1111, 1.0276, 0.9724, 0.8054, 1.0, 0.7778, 0.9724, 1.2222], q:[0.6387, 0.6111], qb:[0.3889, 0.5835], phi:[0.4444]] | t^2.25 + t^2.42 + 2*t^2.92 + t^3. + t^3.33 + 2*t^3.67 + t^4.25 + t^4.33 + t^4.42 + t^4.5 + t^4.67 + 2*t^4.83 + t^4.92 + 2*t^5. + t^5.08 + 3*t^5.17 + t^5.33 + t^5.58 + t^5.75 + 2*t^5.83 + 2*t^5.92 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
| 5803 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ + $ M_7q_1\tilde{q}_2$ + $ M_9q_1\tilde{q}_2$ | 0.742 | 0.9313 | 0.7968 | [X:[], M:[0.7502, 1.1111, 1.0276, 0.9724, 0.8054, 1.0, 0.7778, 0.9724, 0.7778], q:[0.6387, 0.6111], qb:[0.3889, 0.5835], phi:[0.4444]] | t^2.25 + 2*t^2.33 + t^2.42 + 2*t^2.92 + t^3. + t^3.33 + t^4.25 + t^4.33 + t^4.42 + t^4.5 + 2*t^4.58 + 4*t^4.67 + 2*t^4.75 + 2*t^4.83 + t^4.92 + 2*t^5. + t^5.08 + 3*t^5.17 + 4*t^5.25 + 3*t^5.33 + t^5.58 + 2*t^5.67 + t^5.75 + 2*t^5.83 - 3*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2358 | 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_6^2$ + $ M_3M_4$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_8$ | 0.7345 | 0.915 | 0.8027 | [X:[], M:[0.8326, 1.0699, 1.0276, 0.9724, 0.8878, 1.0, 0.6748, 0.9724], q:[0.5975, 0.5699], qb:[0.4301, 0.5423], phi:[0.465]] | t^2.02 + t^2.5 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.42 + t^4.05 + t^4.31 + t^4.4 + t^4.48 + t^4.52 + t^4.65 + t^4.69 + t^4.73 + 2*t^4.81 + t^4.9 + 2*t^4.94 + t^4.98 + t^5. + t^5.02 + t^5.16 + t^5.23 + t^5.33 + 2*t^5.42 + t^5.44 + t^5.58 + t^5.71 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. - t^4.4/y - t^4.4*y | detail |