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 |
|---|---|---|---|---|---|---|---|---|---|
| 4012 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{8}$ | 0.6908 | 0.8692 | 0.7947 | [M:[1.1711, 1.1052, 0.9606, 1.0, 0.8289, 0.7237, 0.7631, 0.8289], q:[0.7763, 0.4342], qb:[0.3948, 0.6052], phi:[0.4474]] | [M:[[-3], [4], [-11], [0], [3], [-1], [10], [3]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{8}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$ | ${}$ | -2 | t^2.171 + t^2.289 + 2*t^2.487 + t^2.882 + t^3. + t^3.316 + t^3.631 + t^3.947 + t^4.145 + 2*t^4.342 + 2*t^4.46 + t^4.578 + 2*t^4.658 + 2*t^4.776 + 4*t^4.974 + t^5.053 + 2*t^5.171 + t^5.289 + t^5.369 + 2*t^5.487 + t^5.605 + t^5.764 + 3*t^5.802 + t^5.921 - 2*t^6. + 2*t^6.118 + t^6.236 + t^6.316 + 3*t^6.434 + t^6.513 + 5*t^6.631 - t^6.711 + 2*t^6.75 + 2*t^6.829 + t^6.868 + 5*t^6.947 - t^7.026 + 2*t^7.065 + 3*t^7.145 + t^7.224 + 5*t^7.263 + t^7.342 + 7*t^7.46 + t^7.54 + 2*t^7.578 + 2*t^7.658 + 3*t^7.776 + 2*t^7.894 + t^7.935 + 3*t^7.974 + t^8.053 + 4*t^8.092 - 4*t^8.171 + t^8.21 + t^8.25 + 3*t^8.289 - t^8.369 + 3*t^8.407 - 4*t^8.487 + t^8.526 + 5*t^8.605 + t^8.646 + 3*t^8.723 + 2*t^8.802 - 3*t^8.882 + 9*t^8.921 - t^4.342/y - t^6.513/y - t^6.631/y - t^6.829/y - t^7.224/y + (2*t^7.46)/y + (2*t^7.658)/y + (2*t^7.776)/y + t^7.855/y + t^7.974/y + (2*t^8.053)/y + (3*t^8.171)/y + t^8.289/y + (2*t^8.369)/y + (3*t^8.487)/y + t^8.605/y - t^8.684/y + (2*t^8.802)/y + t^8.882/y - t^4.342*y - t^6.513*y - t^6.631*y - t^6.829*y - t^7.224*y + 2*t^7.46*y + 2*t^7.658*y + 2*t^7.776*y + t^7.855*y + t^7.974*y + 2*t^8.053*y + 3*t^8.171*y + t^8.289*y + 2*t^8.369*y + 3*t^8.487*y + t^8.605*y - t^8.684*y + 2*t^8.802*y + t^8.882*y | t^2.171/g1 + g1^10*t^2.289 + 2*g1^3*t^2.487 + t^2.882/g1^11 + t^3. + g1^4*t^3.316 + g1^8*t^3.631 + g1^12*t^3.947 + g1^5*t^4.145 + (2*t^4.342)/g1^2 + 2*g1^9*t^4.46 + g1^20*t^4.578 + 2*g1^2*t^4.658 + 2*g1^13*t^4.776 + 4*g1^6*t^4.974 + t^5.053/g1^12 + (2*t^5.171)/g1 + g1^10*t^5.289 + t^5.369/g1^8 + 2*g1^3*t^5.487 + g1^14*t^5.605 + t^5.764/g1^22 + 3*g1^7*t^5.802 + g1^18*t^5.921 - 2*t^6. + 2*g1^11*t^6.118 + g1^22*t^6.236 + g1^4*t^6.316 + 3*g1^15*t^6.434 + t^6.513/g1^3 + 5*g1^8*t^6.631 - t^6.711/g1^10 + 2*g1^19*t^6.75 + 2*g1*t^6.829 + g1^30*t^6.868 + 5*g1^12*t^6.947 - t^7.026/g1^6 + 2*g1^23*t^7.065 + 3*g1^5*t^7.145 + t^7.224/g1^13 + 5*g1^16*t^7.263 + t^7.342/g1^2 + 7*g1^9*t^7.46 + t^7.54/g1^9 + 2*g1^20*t^7.578 + 2*g1^2*t^7.658 + 3*g1^13*t^7.776 + 2*g1^24*t^7.894 + t^7.935/g1^23 + 3*g1^6*t^7.974 + t^8.053/g1^12 + 4*g1^17*t^8.092 - (4*t^8.171)/g1 + g1^28*t^8.21 + t^8.25/g1^19 + 3*g1^10*t^8.289 - t^8.369/g1^8 + 3*g1^21*t^8.407 - 4*g1^3*t^8.487 + g1^32*t^8.526 + 5*g1^14*t^8.605 + t^8.646/g1^33 + 3*g1^25*t^8.723 + 2*g1^7*t^8.802 - (3*t^8.882)/g1^11 + 9*g1^18*t^8.921 - t^4.342/(g1^2*y) - t^6.513/(g1^3*y) - (g1^8*t^6.631)/y - (g1*t^6.829)/y - t^7.224/(g1^13*y) + (2*g1^9*t^7.46)/y + (2*g1^2*t^7.658)/y + (2*g1^13*t^7.776)/y + t^7.855/(g1^5*y) + (g1^6*t^7.974)/y + (2*t^8.053)/(g1^12*y) + (3*t^8.171)/(g1*y) + (g1^10*t^8.289)/y + (2*t^8.369)/(g1^8*y) + (3*g1^3*t^8.487)/y + (g1^14*t^8.605)/y - t^8.684/(g1^4*y) + (2*g1^7*t^8.802)/y + t^8.882/(g1^11*y) - (t^4.342*y)/g1^2 - (t^6.513*y)/g1^3 - g1^8*t^6.631*y - g1*t^6.829*y - (t^7.224*y)/g1^13 + 2*g1^9*t^7.46*y + 2*g1^2*t^7.658*y + 2*g1^13*t^7.776*y + (t^7.855*y)/g1^5 + g1^6*t^7.974*y + (2*t^8.053*y)/g1^12 + (3*t^8.171*y)/g1 + g1^10*t^8.289*y + (2*t^8.369*y)/g1^8 + 3*g1^3*t^8.487*y + g1^14*t^8.605*y - (t^8.684*y)/g1^4 + 2*g1^7*t^8.802*y + (t^8.882*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 |
|---|---|---|---|---|---|---|---|---|
| 5583 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}X_{1}$ | 0.5721 | 0.6971 | 0.8207 | [X:[1.3846], M:[1.0769, 1.2308, 0.6154, 1.0, 0.9231, 0.6923, 1.0769, 0.9231], q:[0.8077, 0.6538], qb:[0.2692, 0.7308], phi:[0.3846]] | t^2.077 + 2*t^2.769 + t^3. + t^3.231 + t^3.692 + 3*t^4.154 + t^4.385 + t^4.846 + 2*t^5.077 + 2*t^5.308 + 3*t^5.538 + t^5.769 - t^6. - t^4.154/y - t^4.154*y | detail | {a: 20109/35152, c: 24503/35152, X1: 18/13, M1: 14/13, M2: 16/13, M3: 8/13, M4: 1, M5: 12/13, M6: 9/13, M7: 14/13, M8: 12/13, q1: 21/26, q2: 17/26, qb1: 7/26, qb2: 19/26, phi1: 5/13} |
| 5557 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7115 | 0.9096 | 0.7822 | [M:[1.1699, 1.1069, 0.9561, 1.0, 0.8301, 0.7233, 0.7671, 0.8301, 0.6794], q:[0.7767, 0.437], qb:[0.3931, 0.6069], phi:[0.4466]] | t^2.038 + t^2.17 + t^2.301 + 2*t^2.49 + t^2.868 + t^3. + t^3.321 + t^3.641 + t^4.077 + t^4.151 + t^4.208 + 3*t^4.34 + 2*t^4.471 + 2*t^4.529 + t^4.603 + 2*t^4.66 + 2*t^4.792 + t^4.907 + 4*t^4.981 + 2*t^5.038 + 2*t^5.17 + t^5.301 + 2*t^5.359 + 2*t^5.49 + t^5.622 + t^5.679 + t^5.737 + 3*t^5.811 + t^5.943 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 5556 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{9}q_{1}q_{2}$ | 0.7083 | 0.8991 | 0.7878 | [M:[1.1652, 1.1131, 0.9391, 1.0, 0.8348, 0.7217, 0.7826, 0.8348, 0.7739], q:[0.7783, 0.4478], qb:[0.3869, 0.6131], phi:[0.4435]] | t^2.165 + t^2.322 + t^2.348 + 2*t^2.504 + t^2.817 + t^3. + t^3.339 + t^4.017 + t^4.174 + 2*t^4.33 + t^4.487 + 2*t^4.513 + t^4.643 + 3*t^4.67 + t^4.696 + 2*t^4.826 + 2*t^4.852 + t^4.983 + 4*t^5.009 + t^5.139 + 2*t^5.165 + 2*t^5.322 + t^5.348 + 2*t^5.504 + t^5.635 + t^5.661 + t^5.687 + 2*t^5.844 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1619 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6762 | 0.8432 | 0.8019 | [M:[1.168, 1.1093, 0.9495, 1.0, 0.832, 0.7227, 0.7732], q:[0.7773, 0.4412], qb:[0.3907, 0.6093], phi:[0.4454]] | t^2.168 + t^2.32 + t^2.496 + t^2.848 + t^3. + t^3.328 + t^3.504 + t^3.656 + t^3.983 + t^4.16 + 2*t^4.336 + 2*t^4.488 + t^4.639 + t^4.664 + t^4.815 + 2*t^4.992 + t^5.017 + 2*t^5.168 + t^5.32 + t^5.496 + t^5.647 + t^5.672 + t^5.697 + 3*t^5.824 + t^5.975 - t^6. - t^4.336/y - t^4.336*y | detail |