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 |
|---|---|---|---|---|---|---|---|---|---|
| 1298 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.61 | 0.7825 | 0.7796 | [M:[1.0, 1.0801, 0.8398, 0.7003, 0.7597, 1.1602], q:[0.77, 0.23], qb:[0.6098, 0.5504], phi:[0.4599]] | [M:[[0], [4], [-8], [10], [-12], [8]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.101 + t^2.279 + t^2.341 + t^2.519 + t^2.76 + t^3. + t^3.24 + t^3.481 + t^3.961 + t^4.14 + t^4.202 + t^4.38 + t^4.442 + t^4.558 + 2*t^4.62 + 2*t^4.682 + t^4.798 + 2*t^4.86 + 2*t^5.039 + 2*t^5.101 + 2*t^5.279 + 2*t^5.341 + 3*t^5.519 + 2*t^5.581 + 2*t^5.76 - t^6. + t^6.062 - t^6.178 + 2*t^6.24 + 2*t^6.302 + 3*t^6.481 + t^6.543 + t^6.659 + 2*t^6.721 + 2*t^6.783 + t^6.837 + t^6.899 + 4*t^6.961 + 2*t^7.023 + t^7.077 + 2*t^7.14 + 3*t^7.202 + 2*t^7.318 + 2*t^7.38 + 4*t^7.442 + 2*t^7.558 + 3*t^7.62 + 3*t^7.682 + 3*t^7.798 + 3*t^7.86 + 2*t^7.923 + 3*t^8.039 + 2*t^8.163 + 2*t^8.403 - t^8.457 - t^8.519 + 2*t^8.581 + 3*t^8.644 - t^8.76 + 4*t^8.822 + 2*t^8.884 - t^4.38/y - t^6.481/y - t^6.659/y + t^7.38/y + t^7.442/y + (2*t^7.62)/y + t^7.798/y + (2*t^7.86)/y + t^8.039/y + (3*t^8.101)/y + (3*t^8.279)/y + (2*t^8.341)/y + (2*t^8.519)/y + t^8.581/y + (2*t^8.76)/y + t^8.822/y - t^8.938/y - t^4.38*y - t^6.481*y - t^6.659*y + t^7.38*y + t^7.442*y + 2*t^7.62*y + t^7.798*y + 2*t^7.86*y + t^8.039*y + 3*t^8.101*y + 3*t^8.279*y + 2*t^8.341*y + 2*t^8.519*y + t^8.581*y + 2*t^8.76*y + t^8.822*y - t^8.938*y | g1^10*t^2.101 + t^2.279/g1^12 + g1^14*t^2.341 + t^2.519/g1^8 + t^2.76/g1^4 + t^3. + g1^4*t^3.24 + g1^8*t^3.481 + g1^16*t^3.961 + t^4.14/g1^6 + g1^20*t^4.202 + t^4.38/g1^2 + g1^24*t^4.442 + t^4.558/g1^24 + 2*g1^2*t^4.62 + 2*g1^28*t^4.682 + t^4.798/g1^20 + 2*g1^6*t^4.86 + (2*t^5.039)/g1^16 + 2*g1^10*t^5.101 + (2*t^5.279)/g1^12 + 2*g1^14*t^5.341 + (3*t^5.519)/g1^8 + 2*g1^18*t^5.581 + (2*t^5.76)/g1^4 - t^6. + g1^26*t^6.062 - t^6.178/g1^22 + 2*g1^4*t^6.24 + 2*g1^30*t^6.302 + 3*g1^8*t^6.481 + g1^34*t^6.543 + t^6.659/g1^14 + 2*g1^12*t^6.721 + 2*g1^38*t^6.783 + t^6.837/g1^36 + t^6.899/g1^10 + 4*g1^16*t^6.961 + 2*g1^42*t^7.023 + t^7.077/g1^32 + (2*t^7.14)/g1^6 + 3*g1^20*t^7.202 + (2*t^7.318)/g1^28 + (2*t^7.38)/g1^2 + 4*g1^24*t^7.442 + (2*t^7.558)/g1^24 + 3*g1^2*t^7.62 + 3*g1^28*t^7.682 + (3*t^7.798)/g1^20 + 3*g1^6*t^7.86 + 2*g1^32*t^7.923 + (3*t^8.039)/g1^16 + 2*g1^36*t^8.163 + 2*g1^40*t^8.403 - t^8.457/g1^34 - t^8.519/g1^8 + 2*g1^18*t^8.581 + 3*g1^44*t^8.644 - t^8.76/g1^4 + 4*g1^22*t^8.822 + 2*g1^48*t^8.884 - t^4.38/(g1^2*y) - (g1^8*t^6.481)/y - t^6.659/(g1^14*y) + t^7.38/(g1^2*y) + (g1^24*t^7.442)/y + (2*g1^2*t^7.62)/y + t^7.798/(g1^20*y) + (2*g1^6*t^7.86)/y + t^8.039/(g1^16*y) + (3*g1^10*t^8.101)/y + (3*t^8.279)/(g1^12*y) + (2*g1^14*t^8.341)/y + (2*t^8.519)/(g1^8*y) + (g1^18*t^8.581)/y + (2*t^8.76)/(g1^4*y) + (g1^22*t^8.822)/y - t^8.938/(g1^26*y) - (t^4.38*y)/g1^2 - g1^8*t^6.481*y - (t^6.659*y)/g1^14 + (t^7.38*y)/g1^2 + g1^24*t^7.442*y + 2*g1^2*t^7.62*y + (t^7.798*y)/g1^20 + 2*g1^6*t^7.86*y + (t^8.039*y)/g1^16 + 3*g1^10*t^8.101*y + (3*t^8.279*y)/g1^12 + 2*g1^14*t^8.341*y + (2*t^8.519*y)/g1^8 + g1^18*t^8.581*y + (2*t^8.76*y)/g1^4 + g1^22*t^8.822*y - (t^8.938*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2342 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{7}$ | 0.5895 | 0.7432 | 0.7932 | [M:[1.0, 1.0816, 0.8368, 0.7041, 0.7551, 1.1632, 1.2959], q:[0.7704, 0.2296], qb:[0.6072, 0.5561], phi:[0.4592]] | t^2.265 + t^2.357 + t^2.51 + t^2.755 + t^3. + t^3.245 + t^3.49 + t^3.888 + t^3.979 + t^4.133 + t^4.531 + t^4.622 + 2*t^4.714 + t^4.776 + t^4.867 + 2*t^5.021 + t^5.112 + 2*t^5.265 + t^5.357 + 3*t^5.51 + t^5.602 + 2*t^5.755 - t^6. - t^4.378/y - t^4.378*y | detail | |
| 2344 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.5917 | 0.7509 | 0.788 | [M:[1.0, 1.0756, 0.8489, 0.6889, 0.7733, 1.1511, 1.2267], q:[0.7689, 0.2311], qb:[0.6178, 0.5334], phi:[0.4622]] | t^2.067 + t^2.293 + t^2.547 + t^2.773 + t^3. + t^3.227 + t^3.453 + t^3.68 + t^3.907 + t^4.133 + t^4.16 + t^4.36 + 2*t^4.587 + t^4.613 + 2*t^4.84 + 2*t^5.067 + t^5.093 + 2*t^5.293 + t^5.32 + 2*t^5.52 + 2*t^5.547 + t^5.747 + t^5.773 + 2*t^5.974 - t^6. - t^4.387/y - t^4.387*y | detail | |
| 2341 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6308 | 0.8234 | 0.7661 | [M:[1.0, 1.0808, 0.8384, 0.702, 0.7576, 1.1616, 0.6768], q:[0.7702, 0.2298], qb:[0.6086, 0.553], phi:[0.4596]] | t^2.03 + t^2.106 + t^2.273 + t^2.348 + t^2.515 + t^2.758 + t^3. + t^3.242 + t^3.485 + t^4.061 + 2*t^4.136 + t^4.212 + t^4.303 + 2*t^4.379 + t^4.454 + 2*t^4.546 + 2*t^4.621 + 2*t^4.697 + 2*t^4.788 + 2*t^4.864 + 3*t^5.03 + 2*t^5.106 + 3*t^5.273 + 2*t^5.348 + 4*t^5.515 + 2*t^5.591 + 2*t^5.758 - t^6. - t^4.379/y - t^4.379*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 |
|---|---|---|---|---|---|---|---|---|---|
| 820 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.624 | 0.8111 | 0.7693 | [M:[1.0, 1.0021, 0.9959, 0.7495, 0.7495, 1.0041], q:[0.7505, 0.2495], qb:[0.5021, 0.5021], phi:[0.499]] | 2*t^2.248 + 2*t^2.255 + t^2.994 + t^3. + t^3.006 + t^3.012 + 2*t^3.758 + 3*t^4.497 + 4*t^4.503 + 6*t^4.509 + 4*t^5.248 + 4*t^5.255 + 4*t^5.261 + 2*t^5.267 + t^5.988 - 4*t^6. - t^4.497/y - t^4.497*y | detail |