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
2047	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6491	0.8553	0.7589	[M:[0.9707, 1.0879, 1.0293, 0.9121, 0.7303, 0.755, 0.7889], q:[0.7427, 0.2866], qb:[0.4684, 0.4437], phi:[0.5146]]	[M:[[4, 4], [-12, -12], [-4, -4], [12, 12], [-5, 7], [7, -5], [-13, -1]], 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
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$	${}M_{4}\phi_{1}q_{2}^{2}$	-3	2*t^2.191 + 2*t^2.265 + t^2.367 + t^2.736 + 2*t^3.088 + t^3.264 + t^3.559 + t^4.206 + t^4.28 + t^4.354 + 3*t^4.382 + 4*t^4.456 + 3*t^4.53 + 2*t^4.558 + 2*t^4.632 + t^4.733 + 2*t^4.927 + 2*t^5.001 + t^5.103 + 4*t^5.279 + 4*t^5.353 + 3*t^5.455 + t^5.473 + t^5.529 + t^5.63 + 2*t^5.75 + 3*t^5.824 - 3*t^6. - t^6.074 + t^6.176 + t^6.295 + 2*t^6.352 + 2*t^6.397 + 2*t^6.471 + t^6.527 + 2*t^6.545 + 5*t^6.573 + 2*t^6.62 + 7*t^6.647 + 5*t^6.721 + 3*t^6.749 + 4*t^6.795 + 3*t^6.823 + t^6.897 + 2*t^6.924 + t^6.942 + t^6.999 + t^7.017 - t^7.073 + t^7.091 + t^7.1 + 3*t^7.118 + 3*t^7.192 + 2*t^7.267 + 3*t^7.294 + t^7.368 + t^7.442 + 6*t^7.47 + 5*t^7.544 + 5*t^7.618 + 5*t^7.646 + 2*t^7.664 + 4*t^7.72 + 2*t^7.738 + t^7.765 + t^7.794 + 3*t^7.821 + t^7.839 + t^7.896 + 3*t^7.941 + t^7.997 + 3*t^8.015 + 2*t^8.089 - 6*t^8.191 + t^8.209 - 9*t^8.265 - 2*t^8.339 - t^8.367 + t^8.412 + t^8.441 + 3*t^8.486 + 3*t^8.543 + 4*t^8.561 + 3*t^8.588 + 2*t^8.617 + t^8.635 + 3*t^8.662 + t^8.709 + 3*t^8.718 - t^8.736 + 7*t^8.764 + t^8.793 + 2*t^8.811 + 10*t^8.838 + 3*t^8.885 + t^8.894 + 7*t^8.912 + 5*t^8.939 + 6*t^8.986 - t^4.544/y - t^6.735/y - t^6.809/y - t^6.911/y + t^7.382/y + (5*t^7.456)/y + t^7.53/y + (2*t^7.558)/y + t^7.632/y + (2*t^7.927)/y + (2*t^8.001)/y + t^8.103/y + t^8.177/y + (5*t^8.279)/y + (5*t^8.353)/y + (4*t^8.455)/y + (2*t^8.529)/y + t^8.63/y + (2*t^8.75)/y + (4*t^8.824)/y - t^4.544*y - t^6.735*y - t^6.809*y - t^6.911*y + t^7.382*y + 5*t^7.456*y + t^7.53*y + 2*t^7.558*y + t^7.632*y + 2*t^7.927*y + 2*t^8.001*y + t^8.103*y + t^8.177*y + 5*t^8.279*y + 5*t^8.353*y + 4*t^8.455*y + 2*t^8.529*y + t^8.63*y + 2*t^8.75*y + 4*t^8.824*y	(2*g2^7*t^2.191)/g1^5 + (2*g1^7*t^2.265)/g2^5 + t^2.367/(g1^13*g2) + g1^12*g2^12*t^2.736 + (2*t^3.088)/(g1^4*g2^4) + t^3.264/(g1^12*g2^12) + g1*g2^13*t^3.559 + (g2^22*t^4.206)/g1^2 + g1^10*g2^10*t^4.28 + (g1^22*t^4.354)/g2^2 + (3*g2^14*t^4.382)/g1^10 + 4*g1^2*g2^2*t^4.456 + (3*g1^14*t^4.53)/g2^10 + (2*g2^6*t^4.558)/g1^18 + (2*t^4.632)/(g1^6*g2^6) + t^4.733/(g1^26*g2^2) + 2*g1^7*g2^19*t^4.927 + 2*g1^19*g2^7*t^5.001 + (g2^11*t^5.103)/g1 + (4*g2^3*t^5.279)/g1^9 + (4*g1^3*t^5.353)/g2^9 + (3*t^5.455)/(g1^17*g2^5) + g1^24*g2^24*t^5.473 + t^5.529/(g1^5*g2^17) + t^5.63/(g1^25*g2^13) + (2*g2^20*t^5.75)/g1^4 + 3*g1^8*g2^8*t^5.824 - 3*t^6. - (g1^12*t^6.074)/g2^12 + t^6.176/(g1^8*g2^8) + g1^13*g2^25*t^6.295 + (2*t^6.352)/(g1^16*g2^16) + (2*g2^29*t^6.397)/g1^7 + 2*g1^5*g2^17*t^6.471 + t^6.527/(g1^24*g2^24) + 2*g1^17*g2^5*t^6.545 + (5*g2^21*t^6.573)/g1^15 + (2*g1^29*t^6.62)/g2^7 + (7*g2^9*t^6.647)/g1^3 + (5*g1^9*t^6.721)/g2^3 + (3*g2^13*t^6.749)/g1^23 + (4*g1^21*t^6.795)/g2^15 + (3*g2*t^6.823)/g1^11 + (g1*t^6.897)/g2^11 + (2*g2^5*t^6.924)/g1^31 + g1^10*g2^34*t^6.942 + t^6.999/(g1^19*g2^7) + g1^22*g2^22*t^7.017 - t^7.073/(g1^7*g2^19) + g1^34*g2^10*t^7.091 + t^7.1/(g1^39*g2^3) + 3*g1^2*g2^26*t^7.118 + 3*g1^14*g2^14*t^7.192 + 2*g1^26*g2^2*t^7.267 + (3*g2^18*t^7.294)/g1^6 + g1^6*g2^6*t^7.368 + (g1^18*t^7.442)/g2^6 + (6*g2^10*t^7.47)/g1^14 + (5*t^7.544)/(g1^2*g2^2) + (5*g1^10*t^7.618)/g2^14 + (5*g2^2*t^7.646)/g1^22 + 2*g1^19*g2^31*t^7.664 + (4*t^7.72)/(g1^10*g2^10) + 2*g1^31*g2^19*t^7.738 + (g2^35*t^7.765)/g1 + (g1^2*t^7.794)/g2^22 + (3*t^7.821)/(g1^30*g2^6) + g1^11*g2^23*t^7.839 + t^7.896/(g1^18*g2^18) + (3*g2^27*t^7.941)/g1^9 + t^7.997/(g1^38*g2^14) + 3*g1^3*g2^15*t^8.015 + 2*g1^15*g2^3*t^8.089 - (6*g2^7*t^8.191)/g1^5 + g1^36*g2^36*t^8.209 - (9*g1^7*t^8.265)/g2^5 - (2*g1^19*t^8.339)/g2^17 - t^8.367/(g1^13*g2) + (g2^44*t^8.412)/g1^4 + t^8.441/(g1*g2^13) + 3*g1^8*g2^32*t^8.486 + (3*t^8.543)/(g1^21*g2^9) + 4*g1^20*g2^20*t^8.561 + (3*g2^36*t^8.588)/g1^12 + (2*t^8.617)/(g1^9*g2^21) + g1^32*g2^8*t^8.635 + 3*g2^24*t^8.662 + (g1^44*t^8.709)/g2^4 + (3*t^8.718)/(g1^29*g2^17) - g1^12*g2^12*t^8.736 + (7*g2^28*t^8.764)/g1^20 + t^8.793/(g1^17*g2^29) + 2*g1^24*t^8.811 + (10*g2^16*t^8.838)/g1^8 + (3*g1^36*t^8.885)/g2^12 + t^8.894/(g1^37*g2^25) + 7*g1^4*g2^4*t^8.912 + (5*g2^20*t^8.939)/g1^28 + (6*g1^16*t^8.986)/g2^8 - t^4.544/(g1^2*g2^2*y) - (g2^5*t^6.735)/(g1^7*y) - (g1^5*t^6.809)/(g2^7*y) - t^6.911/(g1^15*g2^3*y) + (g2^14*t^7.382)/(g1^10*y) + (5*g1^2*g2^2*t^7.456)/y + (g1^14*t^7.53)/(g2^10*y) + (2*g2^6*t^7.558)/(g1^18*y) + t^7.632/(g1^6*g2^6*y) + (2*g1^7*g2^19*t^7.927)/y + (2*g1^19*g2^7*t^8.001)/y + (g2^11*t^8.103)/(g1*y) + (g1^11*t^8.177)/(g2*y) + (5*g2^3*t^8.279)/(g1^9*y) + (5*g1^3*t^8.353)/(g2^9*y) + (4*t^8.455)/(g1^17*g2^5*y) + (2*t^8.529)/(g1^5*g2^17*y) + t^8.63/(g1^25*g2^13*y) + (2*g2^20*t^8.75)/(g1^4*y) + (4*g1^8*g2^8*t^8.824)/y - (t^4.544*y)/(g1^2*g2^2) - (g2^5*t^6.735*y)/g1^7 - (g1^5*t^6.809*y)/g2^7 - (t^6.911*y)/(g1^15*g2^3) + (g2^14*t^7.382*y)/g1^10 + 5*g1^2*g2^2*t^7.456*y + (g1^14*t^7.53*y)/g2^10 + (2*g2^6*t^7.558*y)/g1^18 + (t^7.632*y)/(g1^6*g2^6) + 2*g1^7*g2^19*t^7.927*y + 2*g1^19*g2^7*t^8.001*y + (g2^11*t^8.103*y)/g1 + (g1^11*t^8.177*y)/g2 + (5*g2^3*t^8.279*y)/g1^9 + (5*g1^3*t^8.353*y)/g2^9 + (4*t^8.455*y)/(g1^17*g2^5) + (2*t^8.529*y)/(g1^5*g2^17) + (t^8.63*y)/(g1^25*g2^13) + (2*g2^20*t^8.75*y)/g1^4 + 4*g1^8*g2^8*t^8.824*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
3122	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6448	0.8521	0.7567	[M:[0.9472, 1.1583, 1.0528, 0.8417, 0.7362, 0.7374, 0.8417], q:[0.7368, 0.3159], qb:[0.4215, 0.4203], phi:[0.5264]]	2*t^2.209 + 2*t^2.212 + 2*t^2.525 + 2*t^3.158 + t^3.471 + t^3.475 + t^4.101 + t^4.104 + t^4.108 + 3*t^4.417 + 4*t^4.421 + 3*t^4.424 + 4*t^4.734 + 4*t^4.737 + 3*t^5.05 + 4*t^5.367 + 4*t^5.37 + 2*t^5.68 + 6*t^5.683 + t^5.687 + t^5.996 - 2*t^6. - t^4.579/y - t^4.579*y	detail
3123	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$	0.6656	0.8837	0.7532	[M:[0.9783, 1.0651, 1.0217, 0.9349, 0.7446, 0.7446, 0.788, 0.788], q:[0.7446, 0.2771], qb:[0.4674, 0.4674], phi:[0.5109]]	4*t^2.234 + 2*t^2.364 + t^2.805 + 2*t^3.065 + t^3.195 + 3*t^4.337 + 10*t^4.467 + 8*t^4.598 + 3*t^4.728 + 4*t^5.038 + 2*t^5.169 + 8*t^5.299 + 6*t^5.429 + 2*t^5.559 + t^5.609 + t^5.87 - 5*t^6. - t^4.533/y - t^4.533*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
849	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6327	0.8272	0.7649	[M:[0.963, 1.1111, 1.037, 0.8889, 0.7407, 0.7407], q:[0.7407, 0.2963], qb:[0.4444, 0.4444], phi:[0.5185]]	4*t^2.222 + t^2.667 + 2*t^3.111 + t^3.333 + 2*t^3.556 + 3*t^4.222 + 10*t^4.444 + 4*t^4.889 + 9*t^5.333 + 2*t^5.556 + 9*t^5.778 - 5*t^6. - t^4.556/y - t^4.556*y	detail	{a: 205/324, c: 67/81, M1: 26/27, M2: 10/9, M3: 28/27, M4: 8/9, M5: 20/27, M6: 20/27, q1: 20/27, q2: 8/27, qb1: 4/9, qb2: 4/9, phi1: 14/27}