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 |
|---|---|---|---|---|---|---|---|---|---|
| 2273 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ | 0.7006 | 0.8845 | 0.792 | [X:[], M:[1.0, 1.1663, 0.9429, 0.8337, 0.7791, 0.7221, 0.8337], q:[0.7779, 0.3883], qb:[0.6117, 0.4454], phi:[0.4442]] | [X:[], M:[[0], [-3], [-11], [3], [10], [-1], [3]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_4$, $ M_7$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_6M_7$, $ M_5^2$, $ M_6\phi_1^2$, $ M_4M_5$, $ M_5M_7$, $ M_3M_6$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_5\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_1M_6$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_4$, $ M_3M_7$, $ \phi_1^4$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_1M_7$, $ M_3^2$, $ M_1\phi_1^2$, $ M_6q_1\tilde{q}_2$ | . | -2 | t^2.17 + t^2.34 + 2*t^2.5 + t^2.67 + t^2.83 + t^3. + t^3.67 + t^4. + t^4.17 + 2*t^4.33 + 2*t^4.5 + 3*t^4.67 + t^4.83 + 2*t^4.84 + 6*t^5. + 4*t^5.17 + 2*t^5.33 + t^5.34 + t^5.49 + t^5.5 + t^5.66 + t^5.67 + t^5.84 - 2*t^6. + t^6.01 - t^6.16 + 2*t^6.17 + t^6.33 + t^6.34 + t^6.5 + 3*t^6.51 - t^6.66 + 5*t^6.67 + 3*t^6.83 + 2*t^6.84 + 5*t^7. + t^7.01 + t^7.16 + 5*t^7.17 + 2*t^7.18 + 3*t^7.33 + 5*t^7.34 + 10*t^7.5 + t^7.66 + 7*t^7.67 + t^7.82 + 4*t^7.83 + t^7.84 + 5*t^8. + t^8.01 + 2*t^8.16 - t^8.17 + t^8.32 - t^8.33 + t^8.49 - 5*t^8.5 + 3*t^8.51 + 2*t^8.67 + t^8.68 - 4*t^8.83 + 5*t^8.84 - t^8.99 - t^4.33/y - t^6.5/y - t^6.67/y - t^6.83/y - t^7./y - t^7.16/y + (2*t^7.5)/y + (3*t^7.67)/y + (2*t^7.83)/y + (2*t^7.84)/y + (4*t^8.)/y + (5*t^8.17)/y + (2*t^8.33)/y + t^8.34/y + t^8.49/y + (2*t^8.5)/y + t^8.83/y - t^4.33*y - t^6.5*y - t^6.67*y - t^6.83*y - t^7.*y - t^7.16*y + 2*t^7.5*y + 3*t^7.67*y + 2*t^7.83*y + 2*t^7.84*y + 4*t^8.*y + 5*t^8.17*y + 2*t^8.33*y + t^8.34*y + t^8.49*y + 2*t^8.5*y + t^8.83*y | t^2.17/g1 + g1^10*t^2.34 + 2*g1^3*t^2.5 + t^2.67/g1^4 + t^2.83/g1^11 + t^3. + g1^8*t^3.67 + g1^12*t^4. + g1^5*t^4.17 + (2*t^4.33)/g1^2 + 2*g1^9*t^4.5 + 2*g1^2*t^4.67 + g1^20*t^4.67 + t^4.83/g1^5 + 2*g1^13*t^4.84 + t^5./g1^12 + 5*g1^6*t^5. + (4*t^5.17)/g1 + (2*t^5.33)/g1^8 + g1^10*t^5.34 + t^5.49/g1^15 + g1^3*t^5.5 + t^5.66/g1^22 + t^5.67/g1^4 + g1^7*t^5.84 - 2*t^6. + g1^18*t^6.01 - t^6.16/g1^7 + 2*g1^11*t^6.17 + g1^4*t^6.33 + g1^22*t^6.34 + t^6.5/g1^3 + 3*g1^15*t^6.51 - t^6.66/g1^10 + 5*g1^8*t^6.67 + 3*g1*t^6.83 + 2*g1^19*t^6.84 + t^7./g1^6 + 4*g1^12*t^7. + g1^30*t^7.01 + t^7.16/g1^13 + 5*g1^5*t^7.17 + 2*g1^23*t^7.18 + (3*t^7.33)/g1^2 + 5*g1^16*t^7.34 + (2*t^7.5)/g1^9 + 8*g1^9*t^7.5 + t^7.66/g1^16 + 5*g1^2*t^7.67 + 2*g1^20*t^7.67 + t^7.82/g1^23 + (4*t^7.83)/g1^5 + g1^13*t^7.84 + (3*t^8.)/g1^12 + 2*g1^6*t^8. + g1^24*t^8.01 + (2*t^8.16)/g1^19 - (3*t^8.17)/g1 + 2*g1^17*t^8.17 + t^8.32/g1^26 - t^8.33/g1^8 - g1^10*t^8.34 + g1^28*t^8.34 + t^8.49/g1^33 - 5*g1^3*t^8.5 + 3*g1^21*t^8.51 - (3*t^8.67)/g1^4 + 5*g1^14*t^8.67 + g1^32*t^8.68 - (4*t^8.83)/g1^11 + 2*g1^7*t^8.84 + 3*g1^25*t^8.84 - t^8.99/g1^18 - t^4.33/(g1^2*y) - t^6.5/(g1^3*y) - (g1^8*t^6.67)/y - (g1*t^6.83)/y - t^7./(g1^6*y) - t^7.16/(g1^13*y) + (2*g1^9*t^7.5)/y + (3*g1^2*t^7.67)/y + (2*t^7.83)/(g1^5*y) + (2*g1^13*t^7.84)/y + (2*t^8.)/(g1^12*y) + (2*g1^6*t^8.)/y + (5*t^8.17)/(g1*y) + (2*t^8.33)/(g1^8*y) + (g1^10*t^8.34)/y + t^8.49/(g1^15*y) + (2*g1^3*t^8.5)/y + t^8.83/(g1^11*y) - (t^4.33*y)/g1^2 - (t^6.5*y)/g1^3 - g1^8*t^6.67*y - g1*t^6.83*y - (t^7.*y)/g1^6 - (t^7.16*y)/g1^13 + 2*g1^9*t^7.5*y + 3*g1^2*t^7.67*y + (2*t^7.83*y)/g1^5 + 2*g1^13*t^7.84*y + (2*t^8.*y)/g1^12 + 2*g1^6*t^8.*y + (5*t^8.17*y)/g1 + (2*t^8.33*y)/g1^8 + g1^10*t^8.34*y + (t^8.49*y)/g1^15 + 2*g1^3*t^8.5*y + (t^8.83*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4286 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ + $ M_4M_5$ + $ M_3X_1$ | 0.5902 | 0.7297 | 0.8089 | [X:[1.3846], M:[1.0, 1.0769, 0.6154, 0.9231, 1.0769, 0.6923, 0.9231], q:[0.8077, 0.2692], qb:[0.7308, 0.6538], phi:[0.3846]] | t^2.08 + t^2.31 + 2*t^2.77 + t^3. + t^3.23 + 3*t^4.15 + 2*t^4.38 + t^4.62 + t^4.85 + 4*t^5.08 + 3*t^5.31 + 4*t^5.54 - t^6. - t^4.15/y - t^4.15*y | detail | {a: 399/676, c: 1973/2704, X1: 18/13, M1: 1, M2: 14/13, M3: 8/13, M4: 12/13, M5: 14/13, M6: 9/13, M7: 12/13, q1: 21/26, q2: 7/26, qb1: 19/26, qb2: 17/26, phi1: 5/13} |
| 4284 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ + $ M_5^2$ | 0.6505 | 0.8193 | 0.794 | [X:[], M:[1.0, 1.1, 0.7, 0.9, 1.0, 0.7, 0.9], q:[0.8, 0.3], qb:[0.7, 0.6], phi:[0.4]] | 2*t^2.1 + t^2.4 + 2*t^2.7 + 2*t^3. + 5*t^4.2 + 3*t^4.5 + 5*t^4.8 + 6*t^5.1 + 6*t^5.4 + 2*t^5.7 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 20817/32000, c: 26217/32000, M1: 1, M2: 11/10, M3: 7/10, M4: 9/10, M5: 1, M6: 7/10, M7: 9/10, q1: 4/5, q2: 3/10, qb1: 7/10, qb2: 3/5, phi1: 2/5} |
| 4293 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ + $ M_8q_1\tilde{q}_2$ | 0.7187 | 0.9163 | 0.7844 | [X:[], M:[1.0, 1.161, 0.9235, 0.839, 0.7968, 0.7203, 0.839, 0.7626], q:[0.7797, 0.3813], qb:[0.6187, 0.4578], phi:[0.4406]] | t^2.16 + t^2.29 + t^2.39 + 2*t^2.52 + t^2.64 + t^2.77 + t^3. + t^4.07 + t^4.2 + 2*t^4.32 + t^4.45 + 2*t^4.55 + t^4.58 + 3*t^4.68 + t^4.78 + 3*t^4.8 + 2*t^4.91 + 2*t^4.93 + 5*t^5.03 + t^5.06 + 4*t^5.16 + 3*t^5.29 + t^5.39 + t^5.41 + t^5.52 + t^5.54 + t^5.64 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1231 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6864 | 0.8594 | 0.7987 | [X:[], M:[1.0, 1.1632, 0.9317, 0.8368, 0.7894, 0.7211], q:[0.7789, 0.3843], qb:[0.6157, 0.4526], phi:[0.4421]] | t^2.16 + t^2.37 + t^2.51 + t^2.65 + t^2.8 + t^3. + t^3.49 + t^3.69 + t^4.04 + t^4.18 + 2*t^4.33 + 2*t^4.53 + t^4.67 + t^4.74 + t^4.82 + t^4.88 + t^4.96 + 3*t^5.02 + 3*t^5.16 + t^5.31 + t^5.37 + t^5.45 + t^5.59 + 2*t^5.65 + 2*t^5.86 - t^6. - t^4.33/y - t^4.33*y | detail |