Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
344	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$	0.6064	0.7787	0.7788	[M:[0.9857, 1.043, 1.0143, 0.7364], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]]	[M:[[4, 4], [-12, -12], [-4, -4], [-5, 7]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}$	-3	2*t^2.209 + t^2.269 + 2*t^3.043 + 2*t^3.129 + t^3.645 + t^3.705 + t^3.731 + t^4.333 + t^4.392 + 3*t^4.419 + t^4.452 + 2*t^4.478 + t^4.538 + 4*t^5.252 + 2*t^5.312 + 3*t^5.338 + t^5.398 + 2*t^5.854 + 2*t^5.914 + t^5.94 + t^5.974 - 3*t^6. - t^6.06 + t^6.086 + 4*t^6.172 + 3*t^6.258 + 2*t^6.542 + t^6.602 + 4*t^6.628 + t^6.662 + 3*t^6.688 + t^6.722 + 2*t^6.748 + 2*t^6.774 + t^6.808 + t^6.86 - t^6.92 + 2*t^7.376 + 7*t^7.462 + t^7.495 + 2*t^7.522 + 4*t^7.548 + 2*t^7.581 + t^7.608 + t^7.667 + t^7.977 + t^8.037 + 4*t^8.063 + t^8.097 + t^8.123 + t^8.149 + t^8.157 - 7*t^8.209 + t^8.243 - 5*t^8.269 + 2*t^8.295 - t^8.329 + t^8.355 + 6*t^8.381 + 2*t^8.441 + 4*t^8.467 + t^8.527 + t^8.665 + t^8.725 + 3*t^8.751 + t^8.785 + t^8.811 + 5*t^8.837 + t^8.845 + 4*t^8.897 + t^8.905 + t^8.931 + 2*t^8.957 + 2*t^8.983 + t^8.991 - t^4.522/y - t^6.731/y + t^7.392/y + t^7.419/y + (3*t^7.478)/y - t^7.565/y - t^7.651/y + (4*t^8.252)/y + (3*t^8.312)/y + (4*t^8.338)/y + (2*t^8.398)/y + (2*t^8.854)/y + (3*t^8.914)/y + t^8.94/y + t^8.974/y - t^4.522*y - t^6.731*y + t^7.392*y + t^7.419*y + 3*t^7.478*y - t^7.565*y - t^7.651*y + 4*t^8.252*y + 3*t^8.312*y + 4*t^8.338*y + 2*t^8.398*y + 2*t^8.854*y + 3*t^8.914*y + t^8.94*y + t^8.974*y	(2*g2^7*t^2.209)/g1^5 + (g1^7*t^2.269)/g2^5 + (2*t^3.043)/(g1^4*g2^4) + (2*t^3.129)/(g1^12*g2^12) + g1*g2^13*t^3.645 + g1^13*g2*t^3.705 + (g2^5*t^3.731)/g1^7 + (g2^22*t^4.333)/g1^2 + g1^10*g2^10*t^4.392 + (3*g2^14*t^4.419)/g1^10 + (g1^22*t^4.452)/g2^2 + 2*g1^2*g2^2*t^4.478 + (g1^14*t^4.538)/g2^10 + (4*g2^3*t^5.252)/g1^9 + (2*g1^3*t^5.312)/g2^9 + (3*t^5.338)/(g1^17*g2^5) + t^5.398/(g1^5*g2^17) + (2*g2^20*t^5.854)/g1^4 + 2*g1^8*g2^8*t^5.914 + (g2^12*t^5.94)/g1^12 + (g1^20*t^5.974)/g2^4 - 3*t^6. - (g1^12*t^6.06)/g2^12 + t^6.086/(g1^8*g2^8) + (4*t^6.172)/(g1^16*g2^16) + (3*t^6.258)/(g1^24*g2^24) + (2*g2^29*t^6.542)/g1^7 + g1^5*g2^17*t^6.602 + (4*g2^21*t^6.628)/g1^15 + g1^17*g2^5*t^6.662 + (3*g2^9*t^6.688)/g1^3 + (g1^29*t^6.722)/g2^7 + (2*g1^9*t^6.748)/g2^3 + (2*g2*t^6.774)/g1^11 + (g1^21*t^6.808)/g2^15 + t^6.86/(g1^19*g2^7) - t^6.92/(g1^7*g2^19) + (2*g2^18*t^7.376)/g1^6 + (7*g2^10*t^7.462)/g1^14 + (g1^18*t^7.495)/g2^6 + (2*t^7.522)/(g1^2*g2^2) + (4*g2^2*t^7.548)/g1^22 + (2*g1^10*t^7.581)/g2^14 + t^7.608/(g1^10*g2^10) + (g1^2*t^7.667)/g2^22 + (g2^35*t^7.977)/g1 + g1^11*g2^23*t^8.037 + (4*g2^27*t^8.063)/g1^9 + g1^23*g2^11*t^8.097 + g1^3*g2^15*t^8.123 + (g2^19*t^8.149)/g1^17 + (g1^35*t^8.157)/g2 - (7*g2^7*t^8.209)/g1^5 + (g1^27*t^8.243)/g2^9 - (5*g1^7*t^8.269)/g2^5 + (2*t^8.295)/(g1^13*g2) - (g1^19*t^8.329)/g2^17 + t^8.355/(g1*g2^13) + (6*t^8.381)/(g1^21*g2^9) + (2*t^8.441)/(g1^9*g2^21) + (4*t^8.467)/(g1^29*g2^17) + t^8.527/(g1^17*g2^29) + (g2^44*t^8.665)/g1^4 + g1^8*g2^32*t^8.725 + (3*g2^36*t^8.751)/g1^12 + g1^20*g2^20*t^8.785 + g2^24*t^8.811 + (5*g2^28*t^8.837)/g1^20 + g1^32*g2^8*t^8.845 + (4*g2^16*t^8.897)/g1^8 + (g1^44*t^8.905)/g2^4 + g1^24*t^8.931 + 2*g1^4*g2^4*t^8.957 + (2*g2^8*t^8.983)/g1^16 + (g1^36*t^8.991)/g2^12 - t^4.522/(g1^2*g2^2*y) - (g2^5*t^6.731)/(g1^7*y) + (g1^10*g2^10*t^7.392)/y + (g2^14*t^7.419)/(g1^10*y) + (3*g1^2*g2^2*t^7.478)/y - t^7.565/(g1^6*g2^6*y) - t^7.651/(g1^14*g2^14*y) + (4*g2^3*t^8.252)/(g1^9*y) + (3*g1^3*t^8.312)/(g2^9*y) + (4*t^8.338)/(g1^17*g2^5*y) + (2*t^8.398)/(g1^5*g2^17*y) + (2*g2^20*t^8.854)/(g1^4*y) + (3*g1^8*g2^8*t^8.914)/y + (g2^12*t^8.94)/(g1^12*y) + (g1^20*t^8.974)/(g2^4*y) - (t^4.522*y)/(g1^2*g2^2) - (g2^5*t^6.731*y)/g1^7 + g1^10*g2^10*t^7.392*y + (g2^14*t^7.419*y)/g1^10 + 3*g1^2*g2^2*t^7.478*y - (t^7.565*y)/(g1^6*g2^6) - (t^7.651*y)/(g1^14*g2^14) + (4*g2^3*t^8.252*y)/g1^9 + (3*g1^3*t^8.312*y)/g2^9 + (4*t^8.338*y)/(g1^17*g2^5) + (2*t^8.398*y)/(g1^5*g2^17) + (2*g2^20*t^8.854*y)/g1^4 + 3*g1^8*g2^8*t^8.914*y + (g2^12*t^8.94*y)/g1^12 + (g1^20*t^8.974*y)/g2^4

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
543	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$	0.5799	0.7477	0.7755	[M:[0.9257, 1.223, 1.0743, 0.777], q:[0.7314, 0.3429], qb:[0.3429, 0.4341], phi:[0.5372]]	t^2.057 + 2*t^2.331 + 3*t^3.223 + t^3.497 + 3*t^3.669 + 2*t^3.943 + t^4.115 + t^4.216 + 2*t^4.389 + 3*t^4.662 + 3*t^5.28 + 6*t^5.554 + t^5.726 + 2*t^5.828 + t^6. - t^4.611/y - t^4.611*y	detail
542	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	0.6062	0.7779	0.7793	[M:[0.9855, 1.0434, 1.0145, 0.7464], q:[0.7464, 0.2681], qb:[0.4783, 0.4783], phi:[0.5072]]	3*t^2.239 + 2*t^3.043 + 2*t^3.13 + 2*t^3.674 + t^3.761 + 3*t^4.391 + 6*t^4.478 + 6*t^5.283 + 4*t^5.369 + 5*t^5.913 - 3*t^6. - t^4.522/y - t^4.522*y	detail
1822	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6055	0.7768	0.7796	[M:[0.9916, 1.0252, 1.0084, 0.7563], q:[0.7479, 0.2605], qb:[0.479, 0.4958], phi:[0.5042]]	t^2.218 + 2*t^2.269 + 2*t^3.025 + 2*t^3.076 + t^3.681 + t^3.731 + t^3.782 + t^4.386 + 2*t^4.437 + 3*t^4.487 + 3*t^4.538 + 2*t^5.244 + 5*t^5.294 + 3*t^5.345 + t^5.899 + t^5.95 - t^6. - t^4.513/y - t^4.513*y	detail
544	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6254	0.8129	0.7694	[M:[0.9847, 1.0459, 1.0153, 0.7462, 0.7462], q:[0.7462, 0.2691], qb:[0.477, 0.477], phi:[0.5077]]	4*t^2.239 + 2*t^3.046 + 2*t^3.138 + 2*t^3.67 + 3*t^4.385 + 10*t^4.477 + 8*t^5.284 + 6*t^5.376 + 7*t^5.908 - 6*t^6. - t^4.523/y - t^4.523*y	detail
1821	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.6253	0.8143	0.7679	[M:[0.9916, 1.0253, 1.0084, 0.7277, 0.7446], q:[0.7479, 0.2605], qb:[0.5075, 0.4672], phi:[0.5042]]	2*t^2.183 + t^2.234 + t^2.304 + 2*t^3.025 + 2*t^3.076 + t^3.645 + t^3.696 + t^4.316 + 3*t^4.366 + 2*t^4.417 + t^4.437 + t^4.467 + 2*t^4.487 + t^4.538 + t^4.558 + t^4.609 + 4*t^5.208 + 5*t^5.259 + 2*t^5.31 + 2*t^5.33 + t^5.38 + 2*t^5.828 + 2*t^5.879 + t^5.929 - 3*t^6. - t^4.513/y - t^4.513*y	detail
1820	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6244	0.811	0.77	[M:[0.9923, 1.0232, 1.0077, 0.7496, 0.7621], q:[0.7481, 0.2597], qb:[0.4869, 0.4899], phi:[0.5039]]	t^2.24 + 2*t^2.249 + t^2.286 + 2*t^3.023 + 2*t^3.07 + t^3.705 + t^3.76 + t^4.433 + t^4.442 + t^4.451 + t^4.479 + 2*t^4.488 + 3*t^4.497 + t^4.526 + 2*t^4.535 + t^4.572 + 2*t^5.263 + 4*t^5.272 + 3*t^5.309 + 3*t^5.318 + 2*t^5.356 + t^5.945 + t^5.954 - 3*t^6. - t^4.512/y - t^4.512*y	detail
1818	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	0.6064	0.7789	0.7785	[M:[0.9868, 1.0396, 1.0132, 0.7335], q:[0.7467, 0.2665], qb:[0.4934, 0.467], phi:[0.5066]]	2*t^2.2 + t^2.28 + 2*t^3.04 + 2*t^3.119 + t^3.641 + 2*t^3.72 + t^4.322 + 4*t^4.401 + 3*t^4.48 + t^4.559 + 4*t^5.24 + 5*t^5.319 + t^5.399 + 2*t^5.841 + 3*t^5.921 - 2*t^6. - t^4.52/y - t^4.52*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
215	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$	0.587	0.7429	0.7902	[M:[0.9864, 1.0409, 1.0136], q:[0.7466, 0.267], qb:[0.4795, 0.4795], phi:[0.5068]]	2*t^2.24 + 2*t^3.041 + 2*t^3.123 + 2*t^3.678 + 2*t^3.76 + 3*t^4.398 + 3*t^4.48 + 4*t^5.281 + 2*t^5.363 + 3*t^5.918 - 2*t^6. - t^4.52/y - t^4.52*y	detail