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
46595	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$	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]]	[M:[[2, 2], [2, 2], [-6, -6], [-6, -6], [-2, -2]], q:[[-8, -2], [6, 0]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	${}M_{2}M_{5}$	-4	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. + 2*t^6.026 + t^6.22 - t^6.246 + t^6.272 - t^6.298 + t^6.324 - t^6.544 + 2*t^6.641 + 3*t^6.887 + 2*t^6.913 + 4*t^7.134 + 4*t^7.16 + t^7.211 + 6*t^7.406 - t^7.432 + 2*t^7.458 + 3*t^7.652 - 2*t^7.678 + 3*t^7.704 + t^7.756 + 4*t^7.775 - t^7.976 + 2*t^8.002 + 4*t^8.047 + t^8.099 + t^8.3 + 7*t^8.319 + t^8.345 - t^8.618 + t^8.643 + 4*t^8.838 - 9*t^8.864 + 4*t^8.89 - t^4.432/y - (2*t^7.024)/y + (2*t^7.84)/y + t^8.183/y + (4*t^8.456)/y + (2*t^8.702)/y + (3*t^8.728)/y + (2*t^8.754)/y + (2*t^8.974)/y - t^4.432*y - 2*t^7.024*y + 2*t^7.84*y + t^8.183*y + 4*t^8.456*y + 2*t^8.702*y + 3*t^8.728*y + 2*t^8.754*y + 2*t^8.974*y	(2*t^2.592)/(g1^6*g2^6) + (2*t^2.864)/(g1^2*g2^2) + g1^12*t^3.11 + g1^2*g2^2*t^3.136 + (g2^4*t^3.162)/g1^8 + t^4.049/(g1^17*g2^5) + (2*t^4.296)/(g1^3*g2^3) + (3*g1^11*t^4.542)/g2 + (g2^3*t^4.594)/g1^9 + 2*g1^5*g2^5*t^4.84 + (g2^11*t^5.138)/g1 + (3*t^5.183)/(g1^12*g2^12) + (3*t^5.456)/(g1^8*g2^8) + (5*t^5.728)/(g1^4*g2^4) + (2*g1^10*t^5.974)/g2^2 - 4*t^6. + (2*g2^2*t^6.026)/g1^10 + g1^24*t^6.22 - g1^14*g2^2*t^6.246 + g1^4*g2^4*t^6.272 - (g2^6*t^6.298)/g1^6 + (g2^8*t^6.324)/g1^16 - g1^8*g2^8*t^6.544 + (2*t^6.641)/(g1^23*g2^11) + (3*t^6.887)/(g1^9*g2^9) + (2*t^6.913)/(g1^19*g2^7) + (4*g1^5*t^7.134)/g2^7 + (4*t^7.16)/(g1^5*g2^5) + t^7.211/(g1^25*g2) + (6*g1^9*t^7.406)/g2^3 - t^7.432/(g1*g2) + (2*g2*t^7.458)/g1^11 + (3*g1^23*t^7.652)/g2 - 2*g1^13*g2*t^7.678 + 3*g1^3*g2^3*t^7.704 + (g2^7*t^7.756)/g1^17 + (4*t^7.775)/(g1^18*g2^18) - g1^7*g2^7*t^7.976 + (2*g2^9*t^8.002)/g1^3 + (4*t^8.047)/(g1^14*g2^14) + t^8.099/(g1^34*g2^10) + (g2^15*t^8.3)/g1^9 + (7*t^8.319)/(g1^10*g2^10) + t^8.345/(g1^20*g2^8) - t^8.618/(g1^16*g2^4) + t^8.643/(g1^26*g2^2) + (4*g1^8*t^8.838)/g2^4 - (9*t^8.864)/(g1^2*g2^2) + (4*t^8.89)/g1^12 - t^4.432/(g1*g2*y) - (2*t^7.024)/(g1^7*g2^7*y) + (2*g1^5*g2^5*t^7.84)/y + t^8.183/(g1^12*g2^12*y) + (4*t^8.456)/(g1^8*g2^8*y) + (2*g1^6*t^8.702)/(g2^6*y) + (3*t^8.728)/(g1^4*g2^4*y) + (2*t^8.754)/(g1^14*g2^2*y) + (2*g1^10*t^8.974)/(g2^2*y) - (t^4.432*y)/(g1*g2) - (2*t^7.024*y)/(g1^7*g2^7) + 2*g1^5*g2^5*t^7.84*y + (t^8.183*y)/(g1^12*g2^12) + (4*t^8.456*y)/(g1^8*g2^8) + (2*g1^6*t^8.702*y)/g2^6 + (3*t^8.728*y)/(g1^4*g2^4) + (2*t^8.754*y)/(g1^14*g2^2) + (2*g1^10*t^8.974*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
47167	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$	0.7135	0.8808	0.81	[M:[1.0505, 1.0505, 0.8484, 0.8484, 0.9495, 0.9495], q:[0.4296, 0.5199], qb:[0.5199, 0.6317], phi:[0.4747]]	2*t^2.545 + 3*t^2.848 + t^3.119 + t^3.184 + t^4.002 + 2*t^4.273 + 3*t^4.544 + t^4.608 + 2*t^4.879 + 3*t^5.09 + t^5.215 + 5*t^5.393 + 6*t^5.697 + 3*t^5.968 - 6*t^6. - t^4.424/y - t^4.424*y	detail
46939	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$	0.705	0.865	0.815	[M:[1.0401, 1.0401, 0.8797, 0.8797, 0.9599, 1.0401], q:[0.4432, 0.5167], qb:[0.5167, 0.6036], phi:[0.4799]]	2*t^2.639 + t^2.88 + t^3.1 + 2*t^3.12 + t^3.14 + t^4.099 + 2*t^4.32 + 3*t^4.54 + t^4.58 + 2*t^4.801 + t^5.062 + 3*t^5.278 + t^5.519 + 5*t^5.759 + t^5.98 - 4*t^6. - t^4.44/y - t^4.44*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
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]]	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 - t^4.387/y - t^4.387*y	detail