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
807	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$	0.7171	0.8807	0.8142	[M:[0.9214, 0.9214, 0.9214, 1.0786, 0.9214, 0.9214], q:[0.6179, 0.4607], qb:[0.4607, 0.6179], phi:[0.4607]]	[M:[[-2, -2], [-8, -4], [4, 0], [2, 2], [-2, -2], [-2, -2]], q:[[6, 4], [-4, -2]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$	${}$	-8	6*t^2.764 + t^3.707 + 3*t^4.146 + 4*t^4.618 + 3*t^5.09 + 17*t^5.528 - 8*t^6. + t^6.472 + 14*t^6.91 + 10*t^7.382 + t^7.415 + 6*t^7.854 + 40*t^8.293 - 3*t^8.325 - 33*t^8.764 + 3*t^8.797 - t^4.382/y - (5*t^7.146)/y + (5*t^7.618)/y + (15*t^8.528)/y - t^4.382*y - 5*t^7.146*y + 5*t^7.618*y + 15*t^8.528*y	g1^4*t^2.764 + t^2.764/(g1^8*g2^4) + (4*t^2.764)/(g1^2*g2^2) + g1^6*g2^6*t^3.707 + t^4.146/(g1^9*g2^5) + t^4.146/(g1^3*g2^3) + (g1^3*t^4.146)/g2 + t^4.618/(g1^5*g2) + 2*g1*g2*t^4.618 + g1^7*g2^3*t^4.618 + (g2^3*t^5.09)/g1 + g1^5*g2^5*t^5.09 + g1^11*g2^7*t^5.09 + g1^8*t^5.528 + t^5.528/(g1^16*g2^8) + (3*t^5.528)/(g1^10*g2^6) + (9*t^5.528)/(g1^4*g2^4) + (3*g1^2*t^5.528)/g2^2 - 4*t^6. - (2*t^6.)/(g1^6*g2^2) - 2*g1^6*g2^2*t^6. + g1^4*g2^4*t^6.472 + t^6.91/(g1^17*g2^9) + (4*t^6.91)/(g1^11*g2^7) + (4*t^6.91)/(g1^5*g2^5) + (4*g1*t^6.91)/g2^3 + (g1^7*t^6.91)/g2 + t^7.382/(g1^13*g2^5) + (2*t^7.382)/(g1^7*g2^3) + (4*t^7.382)/(g1*g2) + 2*g1^5*g2*t^7.382 + g1^11*g2^3*t^7.382 + g1^12*g2^12*t^7.415 + t^7.854/(g1^9*g2) + (2*g2*t^7.854)/g1^3 + 2*g1^9*g2^5*t^7.854 + g1^15*g2^7*t^7.854 + g1^12*t^8.293 + t^8.293/(g1^24*g2^12) + (4*t^8.293)/(g1^18*g2^10) + (7*t^8.293)/(g1^12*g2^8) + (16*t^8.293)/(g1^6*g2^6) + (7*t^8.293)/g2^4 + (4*g1^6*t^8.293)/g2^2 - g1*g2^5*t^8.325 - g1^7*g2^7*t^8.325 - g1^13*g2^9*t^8.325 - 8*g1^4*t^8.764 - t^8.764/(g1^14*g2^6) - (8*t^8.764)/(g1^8*g2^4) - (15*t^8.764)/(g1^2*g2^2) - g1^10*g2^2*t^8.764 + g1^5*g2^9*t^8.797 + g1^11*g2^11*t^8.797 + g1^17*g2^13*t^8.797 - t^4.382/(g1*g2*y) - t^7.146/(g1^9*g2^5*y) - (3*t^7.146)/(g1^3*g2^3*y) - (g1^3*t^7.146)/(g2*y) + t^7.618/(g1^5*g2*y) + (3*g1*g2*t^7.618)/y + (g1^7*g2^3*t^7.618)/y + (4*t^8.528)/(g1^10*g2^6*y) + (7*t^8.528)/(g1^4*g2^4*y) + (4*g1^2*t^8.528)/(g2^2*y) - (t^4.382*y)/(g1*g2) - (t^7.146*y)/(g1^9*g2^5) - (3*t^7.146*y)/(g1^3*g2^3) - (g1^3*t^7.146*y)/g2 + (t^7.618*y)/(g1^5*g2) + 3*g1*g2*t^7.618*y + g1^7*g2^3*t^7.618*y + (4*t^8.528*y)/(g1^10*g2^6) + (7*t^8.528*y)/(g1^4*g2^4) + (4*g1^2*t^8.528*y)/g2^2

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
1286	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}^{2}$	0.7125	0.8748	0.8145	[M:[0.9361, 1.0, 0.8722, 1.0639, 0.9361, 0.9361], q:[0.5639, 0.5], qb:[0.4361, 0.6278], phi:[0.4681]]	t^2.617 + 4*t^2.808 + t^3. + t^3.575 + t^4.021 + t^4.212 + 2*t^4.404 + 2*t^4.596 + 2*t^4.788 + t^4.979 + t^5.171 + t^5.233 + 3*t^5.425 + 9*t^5.617 + t^5.808 - 3*t^6. - t^4.404/y - t^4.404*y	detail
1287	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.7363	0.9181	0.802	[M:[0.9094, 0.9094, 0.9094, 1.0906, 0.9094, 0.9094, 0.7282], q:[0.6359, 0.4547], qb:[0.4547, 0.6359], phi:[0.4547]]	t^2.184 + 6*t^2.728 + 3*t^4.092 + t^4.369 + 4*t^4.636 + 6*t^4.913 + 3*t^5.18 + 17*t^5.456 - 8*t^6. - t^4.364/y - t^4.364*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
517	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$	0.7103	0.8687	0.8177	[M:[0.9326, 0.9326, 0.9326, 1.0674, 0.9326], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]]	5*t^2.798 + t^3.202 + t^3.606 + 3*t^4.197 + 4*t^4.601 + 3*t^5.005 + 11*t^5.596 - 3*t^6. - t^4.399/y - t^4.399*y	detail