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
46318	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$	0.7211	0.8891	0.811	[M:[1.0753, 0.9247, 0.774, 0.9247, 0.9247], q:[0.4623, 0.4623], qb:[0.613, 0.613], phi:[0.4623]]	[M:[[0, 2, 2], [1, -4, 2], [0, -6, -6], [-1, 0, -6], [0, -2, -2]], q:[[-1, -2, -2], [1, 0, 0]], qb:[[0, 6, 0], [0, 0, 6]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}^{2}$	${}M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	0	t^2.322 + 4*t^2.774 + 2*t^3.226 + 3*t^4.161 + 4*t^4.613 + t^4.644 + 3*t^5.065 + 4*t^5.096 + 8*t^5.548 - 2*t^6.452 + 3*t^6.483 + 12*t^6.935 + t^6.966 + 11*t^7.387 + 4*t^7.418 + 5*t^7.839 + 8*t^7.87 - t^8.291 + 12*t^8.322 - 7*t^8.774 + 3*t^8.805 - t^4.387/y - t^6.709/y - (3*t^7.161)/y + (3*t^7.613)/y + t^8.065/y + (4*t^8.096)/y + (8*t^8.548)/y - t^4.387*y - t^6.709*y - 3*t^7.161*y + 3*t^7.613*y + t^8.065*y + 4*t^8.096*y + 8*t^8.548*y	t^2.322/(g2^6*g3^6) + t^2.774/(g1*g3^6) + (2*t^2.774)/(g2^2*g3^2) + (g1*g3^2*t^2.774)/g2^4 + g1*g2^6*t^3.226 + (g3^4*t^3.226)/(g1*g2^2) + t^4.161/(g1^2*g2^5*g3^5) + t^4.161/(g2^3*g3^3) + (g1^2*t^4.161)/(g2*g3) + (g2^3*t^4.613)/(g1*g3^3) + (g1*g2^5*t^4.613)/g3 + (g3^3*t^4.613)/(g1*g2^3) + (g1*g3^5*t^4.613)/g2 + t^4.644/(g2^12*g3^12) + (g2^11*t^5.065)/g3 + g2^5*g3^5*t^5.065 + (g3^11*t^5.065)/g2 + t^5.096/(g1*g2^6*g3^12) + (2*t^5.096)/(g2^8*g3^8) + (g1*t^5.096)/(g2^10*g3^4) + (g1*t^5.548)/g2^6 + t^5.548/(g1^2*g3^12) + t^5.548/(g1*g2^2*g3^8) + (4*t^5.548)/(g2^4*g3^4) + (g1^2*g3^4*t^5.548)/g2^8 - 4*t^6. + (2*g1*g2^4*t^6.)/g3^2 + (2*g3^2*t^6.)/(g1*g2^4) - (g2^6*t^6.452)/g1 + g1^2*g2^12*t^6.452 - g1*g2^8*g3^2*t^6.452 - (g3^6*t^6.452)/g1 + (g3^8*t^6.452)/(g1^2*g2^4) - g1*g2^2*g3^8*t^6.452 + t^6.483/(g1^2*g2^11*g3^11) + t^6.483/(g2^9*g3^9) + (g1^2*t^6.483)/(g2^7*g3^7) + t^6.935/(g1^3*g2^5*g3^11) + t^6.935/(g1*g2^3*g3^9) + (2*t^6.935)/(g1^2*g2^7*g3^7) + (g1*t^6.935)/(g2*g3^7) + (2*t^6.935)/(g2^5*g3^5) + t^6.935/(g1*g2^9*g3^3) + (2*g1^2*t^6.935)/(g2^3*g3^3) + (g1*t^6.935)/(g2^7*g3) + (g1^3*g3*t^6.935)/g2^5 + t^6.966/(g2^18*g3^18) + (g2^3*t^7.387)/(g1^2*g3^9) + (g2^5*t^7.387)/g3^7 + (2*g2*t^7.387)/(g1*g3^5) - t^7.387/(g1^2*g2^3*g3^3) + (2*g1*g2^3*t^7.387)/g3^3 + t^7.387/(g1^3*g2^7*g3) - t^7.387/(g2*g3) + (g1^3*g2^5*t^7.387)/g3 + (2*g3*t^7.387)/(g1*g2^5) - g1^2*g2*g3*t^7.387 + (2*g1*g3^3*t^7.387)/g2^3 + (g3^5*t^7.387)/g2^7 + (g1^2*g3^7*t^7.387)/g2^5 + t^7.418/(g1*g2^12*g3^18) + (2*t^7.418)/(g2^14*g3^14) + (g1*t^7.418)/(g2^16*g3^10) + (g2^11*t^7.839)/(g1*g3^7) + (2*g2^9*t^7.839)/g3^3 - (g2^5*t^7.839)/(g1*g3) + (g1^2*g2^11*t^7.839)/g3 - g1*g2^7*g3*t^7.839 + g2^3*g3^3*t^7.839 - (g3^5*t^7.839)/(g1*g2) + (g3^7*t^7.839)/(g1^2*g2^5) - g1*g2*g3^7*t^7.839 + (2*g3^9*t^7.839)/g2^3 + (g1*g3^13*t^7.839)/g2^5 + t^7.87/(g1^2*g2^6*g3^18) + t^7.87/(g1*g2^8*g3^14) + (4*t^7.87)/(g2^10*g3^10) + (g1*t^7.87)/(g2^12*g3^6) + (g1^2*t^7.87)/(g2^14*g3^2) + (g1*g2^17*t^8.291)/g3 - g2^13*g3*t^8.291 - g2^7*g3^7*t^8.291 - g2*g3^13*t^8.291 + (g3^15*t^8.291)/(g1*g2^3) + t^8.322/(g1^3*g3^18) + t^8.322/(g1^2*g2^2*g3^14) + t^8.322/(g1^4*g2^10*g3^10) + (2*t^8.322)/(g1*g2^4*g3^10) + (2*t^8.322)/(g2^6*g3^6) + (2*g1*t^8.322)/(g2^8*g3^2) + (g1^4*t^8.322)/(g2^2*g3^2) + (g1^2*g3^2*t^8.322)/g2^10 + (g1^3*g3^6*t^8.322)/g2^12 - g1^2*t^8.774 + (3*t^8.774)/(g1*g2^6) + t^8.774/(g1^3*g2^2*g3^8) - (3*t^8.774)/(g1*g3^6) - t^8.774/(g1^2*g2^4*g3^4) + (3*g1*g2^2*t^8.774)/g3^4 + t^8.774/(g1^3*g2^8*g3^2) - (9*t^8.774)/(g2^2*g3^2) + (g1^3*g2^4*t^8.774)/g3^2 - (3*g1*g3^2*t^8.774)/g2^4 + (g1^3*g3^4*t^8.774)/g2^2 + t^8.805/(g1^2*g2^17*g3^17) + t^8.805/(g2^15*g3^15) + (g1^2*t^8.805)/(g2^13*g3^13) - t^4.387/(g2*g3*y) - t^6.709/(g2^7*g3^7*y) - t^7.161/(g1*g2*g3^7*y) - t^7.161/(g2^3*g3^3*y) - (g1*g3*t^7.161)/(g2^5*y) + (g2^3*t^7.613)/(g1*g3^3*y) + (g2*g3*t^7.613)/y + (g1*g3^5*t^7.613)/(g2*y) + (g2^5*g3^5*t^8.065)/y + t^8.096/(g1*g2^6*g3^12*y) + (2*t^8.096)/(g2^8*g3^8*y) + (g1*t^8.096)/(g2^10*g3^4*y) + (2*g1*t^8.548)/(g2^6*y) + (2*t^8.548)/(g1*g2^2*g3^8*y) + (g1*t^8.548)/(g3^6*y) + (2*t^8.548)/(g2^4*g3^4*y) + t^8.548/(g1*g2^8*g3^2*y) - (t^4.387*y)/(g2*g3) - (t^6.709*y)/(g2^7*g3^7) - (t^7.161*y)/(g1*g2*g3^7) - (t^7.161*y)/(g2^3*g3^3) - (g1*g3*t^7.161*y)/g2^5 + (g2^3*t^7.613*y)/(g1*g3^3) + g2*g3*t^7.613*y + (g1*g3^5*t^7.613*y)/g2 + g2^5*g3^5*t^8.065*y + (t^8.096*y)/(g1*g2^6*g3^12) + (2*t^8.096*y)/(g2^8*g3^8) + (g1*t^8.096*y)/(g2^10*g3^4) + (2*g1*t^8.548*y)/g2^6 + (2*t^8.548*y)/(g1*g2^2*g3^8) + (g1*t^8.548*y)/g3^6 + (2*t^8.548*y)/(g2^4*g3^4) + (t^8.548*y)/(g1*g2^8*g3^2)

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
46595	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$	0.709	0.8723	0.8128	[M:[1.0454, 1.0454, 0.8639, 0.8639, 0.9546], q:[0.4363, 0.5184], qb:[0.5184, 0.6177], phi:[0.4773]]	2*t^2.592 + 2*t^2.864 + t^3.11 + t^3.136 + t^3.162 + t^4.049 + 2*t^4.296 + 3*t^4.542 + t^4.594 + 2*t^4.84 + t^5.138 + 3*t^5.183 + 3*t^5.456 + 5*t^5.728 + 2*t^5.974 - 4*t^6. - t^4.432/y - t^4.432*y	detail
46423	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$	0.6993	0.8588	0.8143	[M:[1.0205, 0.8973, 0.9384, 1.0616, 0.9795], q:[0.5291, 0.4504], qb:[0.5736, 0.488], phi:[0.4897]]	t^2.692 + t^2.815 + 2*t^2.938 + t^3.051 + t^3.072 + t^3.185 + t^4.171 + t^4.284 + t^4.397 + t^4.408 + t^4.52 + t^4.541 + t^4.644 + t^4.654 + t^4.777 + t^4.911 + t^5.384 + t^5.507 + 2*t^5.63 + 2*t^5.754 + 3*t^5.877 + 2*t^5.99 - 3*t^6. - t^4.469/y - t^4.469*y	detail
46626	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6977	0.8713	0.8008	[M:[1.1105, 0.7877, 0.6686, 0.9913, 0.8895], q:[0.4346, 0.4549], qb:[0.7776, 0.5538], phi:[0.4448]]	t^2.006 + t^2.363 + 2*t^2.669 + t^2.965 + t^2.974 + t^3.698 + t^3.942 + t^4.003 + t^4.012 + t^4.064 + t^4.3 + t^4.36 + t^4.369 + t^4.657 + 2*t^4.674 + t^4.726 + t^4.971 + t^4.98 + 2*t^5.032 + t^5.329 + 4*t^5.337 + 2*t^5.634 + t^5.643 + t^5.931 + 2*t^5.948 - 3*t^6. - t^4.334/y - t^4.334*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
45947	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.7145	0.8771	0.8147	[M:[1.0672, 0.9328, 0.7984, 0.9328], q:[0.4664, 0.4664], qb:[0.6008, 0.6008], phi:[0.4664]]	t^2.395 + 3*t^2.798 + 3*t^3.202 + 3*t^4.198 + 4*t^4.601 + t^4.791 + 3*t^5.004 + 3*t^5.194 + 5*t^5.597 + t^6. - t^4.399/y - t^4.399*y	detail