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 |
|---|---|---|---|---|---|---|---|---|---|
| 3603 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6705 | 0.8505 | 0.7884 | [M:[1.2, 0.72, 0.8, 1.12, 0.88, 0.8], q:[0.44, 0.36], qb:[0.76, 0.52], phi:[0.48]] | [M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10476/15625, c: 26577/31250, M1: 6/5, M2: 18/25, M3: 4/5, M4: 28/25, M5: 22/25, M6: 4/5, q1: 11/25, q2: 9/25, qb1: 19/25, qb2: 13/25, phi1: 12/25} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}q_{1}q_{2}$ | 1 | t^2.16 + 2*t^2.4 + t^2.64 + 2*t^2.88 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 4*t^4.8 + 4*t^5.04 + 5*t^5.28 + 2*t^5.52 + 4*t^5.76 + t^6. + 3*t^6.24 + 6*t^6.48 + 6*t^6.72 + 8*t^6.96 + 7*t^7.2 + 8*t^7.44 + 8*t^7.68 + 6*t^7.92 + 8*t^8.16 + 2*t^8.4 + 7*t^8.64 + 6*t^8.88 - t^4.44/y - t^6.6/y - t^6.84/y - t^7.32/y + (3*t^7.56)/y + (2*t^7.8)/y + (5*t^8.04)/y + (5*t^8.28)/y + (3*t^8.52)/y + (3*t^8.76)/y - t^4.44*y - t^6.6*y - t^6.84*y - t^7.32*y + 3*t^7.56*y + 2*t^7.8*y + 5*t^8.04*y + 5*t^8.28*y + 3*t^8.52*y + 3*t^8.76*y | t^2.16 + 2*t^2.4 + t^2.64 + 2*t^2.88 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 4*t^4.8 + 4*t^5.04 + 5*t^5.28 + 2*t^5.52 + 4*t^5.76 + t^6. + 3*t^6.24 + 6*t^6.48 + 6*t^6.72 + 8*t^6.96 + 7*t^7.2 + 8*t^7.44 + 8*t^7.68 + 6*t^7.92 + 8*t^8.16 + 2*t^8.4 + 7*t^8.64 + 6*t^8.88 - t^4.44/y - t^6.6/y - t^6.84/y - t^7.32/y + (3*t^7.56)/y + (2*t^7.8)/y + (5*t^8.04)/y + (5*t^8.28)/y + (3*t^8.52)/y + (3*t^8.76)/y - t^4.44*y - t^6.6*y - t^6.84*y - t^7.32*y + 3*t^7.56*y + 2*t^7.8*y + 5*t^8.04*y + 5*t^8.28*y + 3*t^8.52*y + 3*t^8.76*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 |
|---|---|---|---|---|---|---|---|---|
| 5271 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ | 0.687 | 0.8795 | 0.7811 | [M:[1.2, 0.72, 0.8, 1.12, 0.88, 0.8, 0.8], q:[0.44, 0.36], qb:[0.76, 0.52], phi:[0.48]] | t^2.16 + 3*t^2.4 + t^2.64 + 2*t^2.88 + t^3.36 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 4*t^4.56 + 7*t^4.8 + 5*t^5.04 + 7*t^5.28 + 2*t^5.52 + 4*t^5.76 - t^6. - t^4.44/y - t^4.44*y | detail | {a: 171741/250000, c: 109933/125000, M1: 6/5, M2: 18/25, M3: 4/5, M4: 28/25, M5: 22/25, M6: 4/5, M7: 4/5, q1: 11/25, q2: 9/25, qb1: 19/25, qb2: 13/25, phi1: 12/25} |
| 5270 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ | 0.6812 | 0.8687 | 0.7842 | [M:[1.2, 0.72, 0.8, 1.12, 0.88, 0.8, 0.88], q:[0.44, 0.36], qb:[0.76, 0.52], phi:[0.48]] | t^2.16 + 2*t^2.4 + 2*t^2.64 + 2*t^2.88 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 5*t^4.8 + 6*t^5.04 + 7*t^5.28 + 3*t^5.52 + 2*t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 170307/250000, c: 108591/125000, M1: 6/5, M2: 18/25, M3: 4/5, M4: 28/25, M5: 22/25, M6: 4/5, M7: 22/25, q1: 11/25, q2: 9/25, qb1: 19/25, qb2: 13/25, phi1: 12/25} |
| 5272 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6905 | 0.888 | 0.7776 | [M:[1.2, 0.72, 0.8, 1.12, 0.88, 0.8, 0.72], q:[0.44, 0.36], qb:[0.76, 0.52], phi:[0.48]] | 2*t^2.16 + 2*t^2.4 + t^2.64 + 2*t^2.88 + t^3.36 + t^3.6 + 2*t^4.08 + 4*t^4.32 + 5*t^4.56 + 5*t^4.8 + 6*t^5.04 + 5*t^5.28 + 3*t^5.52 + 5*t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 34527/50000, c: 22201/25000, M1: 6/5, M2: 18/25, M3: 4/5, M4: 28/25, M5: 22/25, M6: 4/5, M7: 18/25, q1: 11/25, q2: 9/25, qb1: 19/25, qb2: 13/25, phi1: 12/25} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2990 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6728 | 0.8554 | 0.7865 | [M:[1.1885, 0.7593, 0.8115, 1.1362, 0.8638, 0.7538], q:[0.4319, 0.3796], qb:[0.7565, 0.4842], phi:[0.4869]] | t^2.261 + t^2.278 + t^2.435 + t^2.591 + t^2.748 + t^2.922 + t^3.409 + t^3.565 + t^3.895 + 2*t^4.052 + t^4.209 + t^4.366 + t^4.523 + t^4.539 + t^4.556 + t^4.696 + t^4.712 + t^4.853 + 2*t^4.869 + t^5.01 + 2*t^5.026 + 3*t^5.183 + t^5.199 + t^5.34 + t^5.356 + t^5.497 + t^5.513 + 2*t^5.67 + t^5.827 + t^5.843 - t^6. - t^4.461/y - t^4.461*y | detail |