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
46485	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$	0.7101	0.9148	0.7763	[M:[0.6976, 0.6874, 0.6874, 0.6925, 0.6925], q:[0.4806, 0.8218], qb:[0.832, 0.4806], phi:[0.3463]]	[M:[[1, -5], [-1, -3], [-1, -3], [0, -4], [0, -4]], q:[[0, 3], [-1, 2]], qb:[[1, 0], [0, 3]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$	${}M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$	-1	2*t^2.062 + 3*t^2.078 + t^2.093 + t^2.884 + t^3.907 + t^3.922 + 3*t^4.124 + 6*t^4.14 + 8*t^4.155 + 3*t^4.17 + t^4.186 + 2*t^4.946 + 4*t^4.961 + t^4.977 + t^5.767 + 2*t^5.969 + 3*t^5.985 - t^6. - t^6.015 + 4*t^6.187 + 9*t^6.202 + 15*t^6.217 + 16*t^6.233 + 8*t^6.248 + 3*t^6.263 + t^6.279 + t^6.791 + t^6.806 + 3*t^7.008 + 6*t^7.023 + 7*t^7.039 + 2*t^7.054 + t^7.069 + t^7.814 + t^7.83 - t^7.86 + 3*t^8.031 + 5*t^8.047 - 2*t^8.062 - 9*t^8.078 - 7*t^8.093 - t^8.108 + 5*t^8.249 + 12*t^8.264 + 22*t^8.279 + 29*t^8.295 + 30*t^8.31 + 16*t^8.325 + 8*t^8.341 + 3*t^8.356 + t^8.372 + t^8.651 + 2*t^8.853 + 2*t^8.868 - 4*t^8.884 - 3*t^8.899 - t^4.039/y - (2*t^6.101)/y - (3*t^6.116)/y - t^6.132/y + t^7.124/y + (6*t^7.14)/y + (5*t^7.155)/y + (3*t^7.17)/y + (3*t^7.946)/y + (6*t^7.961)/y + (3*t^7.977)/y - (3*t^8.163)/y - (6*t^8.178)/y - (8*t^8.194)/y - (3*t^8.209)/y - t^8.225/y + (2*t^8.969)/y + (5*t^8.985)/y - t^4.039*y - 2*t^6.101*y - 3*t^6.116*y - t^6.132*y + t^7.124*y + 6*t^7.14*y + 5*t^7.155*y + 3*t^7.17*y + 3*t^7.946*y + 6*t^7.961*y + 3*t^7.977*y - 3*t^8.163*y - 6*t^8.178*y - 8*t^8.194*y - 3*t^8.209*y - t^8.225*y + 2*t^8.969*y + 5*t^8.985*y	(2*t^2.062)/(g1*g2^3) + (3*t^2.078)/g2^4 + (g1*t^2.093)/g2^5 + g2^6*t^2.884 + (g2^5*t^3.907)/g1 + g2^4*t^3.922 + (3*t^4.124)/(g1^2*g2^6) + (6*t^4.14)/(g1*g2^7) + (8*t^4.155)/g2^8 + (3*g1*t^4.17)/g2^9 + (g1^2*t^4.186)/g2^10 + (2*g2^3*t^4.946)/g1 + 4*g2^2*t^4.961 + g1*g2*t^4.977 + g2^12*t^5.767 + (2*g2^2*t^5.969)/g1^2 + (3*g2*t^5.985)/g1 - t^6. - (g1*t^6.015)/g2 + (4*t^6.187)/(g1^3*g2^9) + (9*t^6.202)/(g1^2*g2^10) + (15*t^6.217)/(g1*g2^11) + (16*t^6.233)/g2^12 + (8*g1*t^6.248)/g2^13 + (3*g1^2*t^6.263)/g2^14 + (g1^3*t^6.279)/g2^15 + (g2^11*t^6.791)/g1 + g2^10*t^6.806 + (3*t^7.008)/g1^2 + (6*t^7.023)/(g1*g2) + (7*t^7.039)/g2^2 + (2*g1*t^7.054)/g2^3 + (g1^2*t^7.069)/g2^4 + (g2^10*t^7.814)/g1^2 + (g2^9*t^7.83)/g1 - g1*g2^7*t^7.86 + (3*t^8.031)/(g1^3*g2) + (5*t^8.047)/(g1^2*g2^2) - (2*t^8.062)/(g1*g2^3) - (9*t^8.078)/g2^4 - (7*g1*t^8.093)/g2^5 - (g1^2*t^8.108)/g2^6 + (5*t^8.249)/(g1^4*g2^12) + (12*t^8.264)/(g1^3*g2^13) + (22*t^8.279)/(g1^2*g2^14) + (29*t^8.295)/(g1*g2^15) + (30*t^8.31)/g2^16 + (16*g1*t^8.325)/g2^17 + (8*g1^2*t^8.341)/g2^18 + (3*g1^3*t^8.356)/g2^19 + (g1^4*t^8.372)/g2^20 + g2^18*t^8.651 + (2*g2^8*t^8.853)/g1^2 + (2*g2^7*t^8.868)/g1 - 4*g2^6*t^8.884 - 3*g1*g2^5*t^8.899 - t^4.039/(g2^2*y) - (2*t^6.101)/(g1*g2^5*y) - (3*t^6.116)/(g2^6*y) - (g1*t^6.132)/(g2^7*y) + t^7.124/(g1^2*g2^6*y) + (6*t^7.14)/(g1*g2^7*y) + (5*t^7.155)/(g2^8*y) + (3*g1*t^7.17)/(g2^9*y) + (3*g2^3*t^7.946)/(g1*y) + (6*g2^2*t^7.961)/y + (3*g1*g2*t^7.977)/y - (3*t^8.163)/(g1^2*g2^8*y) - (6*t^8.178)/(g1*g2^9*y) - (8*t^8.194)/(g2^10*y) - (3*g1*t^8.209)/(g2^11*y) - (g1^2*t^8.225)/(g2^12*y) + (2*g2^2*t^8.969)/(g1^2*y) + (5*g2*t^8.985)/(g1*y) - (t^4.039*y)/g2^2 - (2*t^6.101*y)/(g1*g2^5) - (3*t^6.116*y)/g2^6 - (g1*t^6.132*y)/g2^7 + (t^7.124*y)/(g1^2*g2^6) + (6*t^7.14*y)/(g1*g2^7) + (5*t^7.155*y)/g2^8 + (3*g1*t^7.17*y)/g2^9 + (3*g2^3*t^7.946*y)/g1 + 6*g2^2*t^7.961*y + 3*g1*g2*t^7.977*y - (3*t^8.163*y)/(g1^2*g2^8) - (6*t^8.178*y)/(g1*g2^9) - (8*t^8.194*y)/g2^10 - (3*g1*t^8.209*y)/g2^11 - (g1^2*t^8.225*y)/g2^12 + (2*g2^2*t^8.969*y)/g1^2 + (5*g2*t^8.985*y)/g1

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
47221	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.7308	0.9551	0.7651	[M:[0.6948, 0.6855, 0.6855, 0.6901, 0.6901, 0.6901], q:[0.4824, 0.8228], qb:[0.8321, 0.4824], phi:[0.3451]]	2*t^2.056 + 4*t^2.07 + t^2.084 + t^2.894 + t^3.916 + 3*t^4.113 + 8*t^4.127 + 12*t^4.141 + 4*t^4.155 + t^4.169 + 2*t^4.951 + 5*t^4.965 + t^4.979 + t^5.789 + 2*t^5.972 + 2*t^5.986 - 4*t^6. - t^4.035/y - t^4.035*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
46138	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$	0.6895	0.8747	0.7883	[M:[0.7011, 0.6897, 0.6897, 0.6954], q:[0.4785, 0.8205], qb:[0.8318, 0.4785], phi:[0.3477]]	2*t^2.069 + 2*t^2.086 + t^2.103 + t^2.871 + t^3.897 + 2*t^3.914 + 3*t^4.138 + 4*t^4.155 + 5*t^4.172 + 2*t^4.189 + t^4.206 + 2*t^4.94 + 3*t^4.957 + t^4.974 + t^5.741 + 2*t^5.966 + 4*t^5.983 - t^4.043/y - t^4.043*y	detail