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 |
|---|---|---|---|---|---|---|---|---|---|
| 4018 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.6742 | 0.8439 | 0.7989 | [M:[1.179, 1.0947, 0.9897, 1.0, 0.821, 0.7366, 0.716, 1.0103], q:[0.7737, 0.4156], qb:[0.4053, 0.5947], phi:[0.4527]] | [M:[[-3], [4], [-11], [0], [3], [10], [-12], [11]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 | {a: 1165/1728, c: 4375/5184, M1: 191/162, M2: 266/243, M3: 481/486, M4: 1, M5: 133/162, M6: 179/243, M7: 58/81, M8: 491/486, q1: 188/243, q2: 101/243, qb1: 197/486, qb2: 289/486, phi1: 110/243} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{7}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}q_{1}q_{2}$ | ${}$ | -1 | t^2.148 + t^2.21 + t^2.463 + t^3. + t^3.031 + t^3.284 + t^3.537 + t^3.568 + t^3.821 + t^4.105 + t^4.296 + 2*t^4.358 + t^4.389 + t^4.42 + t^4.611 + t^4.673 + 2*t^4.926 + t^5.148 + t^5.179 + t^5.21 + t^5.241 + 2*t^5.494 + t^5.685 + t^5.716 + 2*t^5.747 + t^5.778 - t^6. + 2*t^6.031 + t^6.062 + t^6.284 + 2*t^6.315 + t^6.444 + 2*t^6.506 + 4*t^6.568 + 2*t^6.599 + t^6.63 + t^6.759 - t^6.79 + t^6.821 + 2*t^6.852 + t^6.883 + t^7.074 + t^7.105 + 3*t^7.136 + t^7.296 + 4*t^7.389 + 2*t^7.42 + t^7.451 + 2*t^7.642 + t^7.673 + 2*t^7.704 + t^7.833 + t^7.864 + 2*t^7.926 + 4*t^7.957 + t^7.988 - t^8.148 + t^8.21 + 2*t^8.241 + t^8.272 - t^8.463 + 2*t^8.494 + 3*t^8.525 + t^8.593 + 2*t^8.654 + 2*t^8.716 + t^8.747 + 5*t^8.778 + 2*t^8.809 + t^8.84 + t^8.907 - t^8.938 - t^4.358/y - t^6.506/y - t^6.568/y + t^7.358/y + t^7.611/y + t^7.673/y + (2*t^8.148)/y + t^8.179/y + (2*t^8.21)/y + t^8.241/y + t^8.432/y + t^8.463/y + (2*t^8.494)/y - t^8.654/y + t^8.685/y + (2*t^8.747)/y + t^8.969/y - t^4.358*y - t^6.506*y - t^6.568*y + t^7.358*y + t^7.611*y + t^7.673*y + 2*t^8.148*y + t^8.179*y + 2*t^8.21*y + t^8.241*y + t^8.432*y + t^8.463*y + 2*t^8.494*y - t^8.654*y + t^8.685*y + 2*t^8.747*y + t^8.969*y | t^2.148/g1^12 + g1^10*t^2.21 + g1^3*t^2.463 + t^3. + g1^11*t^3.031 + g1^4*t^3.284 + t^3.537/g1^3 + g1^8*t^3.568 + g1*t^3.821 + g1^5*t^4.105 + t^4.296/g1^24 + (2*t^4.358)/g1^2 + g1^9*t^4.389 + g1^20*t^4.42 + t^4.611/g1^9 + g1^13*t^4.673 + 2*g1^6*t^4.926 + t^5.148/g1^12 + t^5.179/g1 + g1^10*t^5.21 + g1^21*t^5.241 + 2*g1^14*t^5.494 + t^5.685/g1^15 + t^5.716/g1^4 + 2*g1^7*t^5.747 + g1^18*t^5.778 - t^6. + 2*g1^11*t^6.031 + g1^22*t^6.062 + g1^4*t^6.284 + 2*g1^15*t^6.315 + t^6.444/g1^36 + (2*t^6.506)/g1^14 + 4*g1^8*t^6.568 + 2*g1^19*t^6.599 + g1^30*t^6.63 + t^6.759/g1^21 - t^6.79/g1^10 + g1*t^6.821 + 2*g1^12*t^6.852 + g1^23*t^6.883 + t^7.074/g1^6 + g1^5*t^7.105 + 3*g1^16*t^7.136 + t^7.296/g1^24 + 4*g1^9*t^7.389 + 2*g1^20*t^7.42 + g1^31*t^7.451 + 2*g1^2*t^7.642 + g1^13*t^7.673 + 2*g1^24*t^7.704 + t^7.833/g1^27 + t^7.864/g1^16 + 2*g1^6*t^7.926 + 4*g1^17*t^7.957 + g1^28*t^7.988 - t^8.148/g1^12 + g1^10*t^8.21 + 2*g1^21*t^8.241 + g1^32*t^8.272 - g1^3*t^8.463 + 2*g1^14*t^8.494 + 3*g1^25*t^8.525 + t^8.593/g1^48 + (2*t^8.654)/g1^26 + (2*t^8.716)/g1^4 + g1^7*t^8.747 + 5*g1^18*t^8.778 + 2*g1^29*t^8.809 + g1^40*t^8.84 + t^8.907/g1^33 - t^8.938/g1^22 - t^4.358/(g1^2*y) - t^6.506/(g1^14*y) - (g1^8*t^6.568)/y + t^7.358/(g1^2*y) + t^7.611/(g1^9*y) + (g1^13*t^7.673)/y + (2*t^8.148)/(g1^12*y) + t^8.179/(g1*y) + (2*g1^10*t^8.21)/y + (g1^21*t^8.241)/y + t^8.432/(g1^8*y) + (g1^3*t^8.463)/y + (2*g1^14*t^8.494)/y - t^8.654/(g1^26*y) + t^8.685/(g1^15*y) + (2*g1^7*t^8.747)/y + t^8.969/(g1^11*y) - (t^4.358*y)/g1^2 - (t^6.506*y)/g1^14 - g1^8*t^6.568*y + (t^7.358*y)/g1^2 + (t^7.611*y)/g1^9 + g1^13*t^7.673*y + (2*t^8.148*y)/g1^12 + (t^8.179*y)/g1 + 2*g1^10*t^8.21*y + g1^21*t^8.241*y + (t^8.432*y)/g1^8 + g1^3*t^8.463*y + 2*g1^14*t^8.494*y - (t^8.654*y)/g1^26 + (t^8.685*y)/g1^15 + 2*g1^7*t^8.747*y + (t^8.969*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 |
|---|---|---|---|---|---|---|---|---|
| 5570 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{9}$ | 0.6549 | 0.808 | 0.8105 | [M:[1.1744, 1.1008, 0.9729, 1.0, 0.8256, 0.7519, 0.6977, 1.0271, 1.2481], q:[0.7752, 0.4263], qb:[0.3992, 0.6008], phi:[0.4496]] | t^2.093 + t^2.477 + t^3. + t^3.081 + t^3.302 + t^3.523 + t^3.605 + t^3.744 + t^3.826 + t^4.128 + t^4.186 + t^4.349 + t^4.43 + t^4.57 + 2*t^4.953 + t^5.093 + t^5.174 + t^5.558 + t^5.616 + t^5.698 + t^5.779 + t^5.837 - t^6. - t^4.349/y - t^4.349*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1624 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6771 | 0.8472 | 0.7991 | [M:[1.168, 1.1094, 0.9492, 1.0, 0.832, 0.7735, 0.6718], q:[0.7773, 0.4414], qb:[0.3906, 0.6094], phi:[0.4453]] | t^2.016 + t^2.32 + t^2.496 + t^2.848 + t^3. + t^3.328 + t^3.504 + t^3.656 + t^3.832 + t^4.031 + t^4.16 + 2*t^4.336 + t^4.488 + t^4.512 + t^4.641 + t^4.817 + t^4.863 + 2*t^4.992 + t^5.016 + t^5.168 + t^5.32 + t^5.344 + t^5.519 + t^5.649 + t^5.672 + t^5.695 + 2*t^5.824 + t^5.848 + t^5.977 - t^6. - t^4.336/y - t^4.336*y | detail |