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
1465	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$	0.724	0.8987	0.8056	[M:[1.0656, 0.8031, 0.8687, 1.0, 1.0, 0.8687, 0.9344], q:[0.5328, 0.4015], qb:[0.5985, 0.5985], phi:[0.4672]]	[M:[[2, 2], [-6, -6], [-7, -1], [3, -3], [-3, 3], [-1, -7], [-2, -2]], q:[[1, 1], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$	${}M_{4}^{2}$, ${ }M_{5}^{2}$	-3	t^2.409 + 2*t^2.606 + 2*t^2.803 + 2*t^3. + t^3.811 + t^4.205 + 2*t^4.402 + t^4.598 + 2*t^4.795 + t^4.818 + 3*t^4.992 + 2*t^5.015 + 5*t^5.212 + 4*t^5.409 + 6*t^5.606 + 2*t^5.803 - 3*t^6. - 2*t^6.197 + t^6.22 - 2*t^6.394 + 2*t^6.417 - 2*t^6.591 + 3*t^6.614 + 4*t^6.811 + 5*t^7.008 + 6*t^7.205 + t^7.228 + 6*t^7.402 + 2*t^7.425 + 6*t^7.598 + 6*t^7.621 + 3*t^7.795 + 8*t^7.818 + 9*t^8.015 - 4*t^8.189 + 10*t^8.212 - 2*t^8.386 + 3*t^8.409 - 4*t^8.606 + t^8.629 - 8*t^8.803 + 2*t^8.826 - t^4.402/y - t^6.811/y - (2*t^7.008)/y - t^7.205/y + t^7.598/y + (2*t^7.795)/y + t^7.992/y + (2*t^8.015)/y + (3*t^8.212)/y + (6*t^8.409)/y + (5*t^8.606)/y + (4*t^8.803)/y - t^4.402*y - t^6.811*y - 2*t^7.008*y - t^7.205*y + t^7.598*y + 2*t^7.795*y + t^7.992*y + 2*t^8.015*y + 3*t^8.212*y + 6*t^8.409*y + 5*t^8.606*y + 4*t^8.803*y	t^2.409/(g1^6*g2^6) + t^2.606/(g1*g2^7) + t^2.606/(g1^7*g2) + (2*t^2.803)/(g1^2*g2^2) + (g1^3*t^3.)/g2^3 + (g2^3*t^3.)/g1^3 + t^3.811/(g1^7*g2^7) + t^4.205/(g1^3*g2^3) + (g1^2*t^4.402)/g2^4 + (g2^2*t^4.402)/g1^4 + g1*g2*t^4.598 + g1^6*t^4.795 + g2^6*t^4.795 + t^4.818/(g1^12*g2^12) + (g1^11*t^4.992)/g2 + g1^5*g2^5*t^4.992 + (g2^11*t^4.992)/g1 + t^5.015/(g1^7*g2^13) + t^5.015/(g1^13*g2^7) + t^5.212/(g1^2*g2^14) + (3*t^5.212)/(g1^8*g2^8) + t^5.212/(g1^14*g2^2) + (2*t^5.409)/(g1^3*g2^9) + (2*t^5.409)/(g1^9*g2^3) + (g1^2*t^5.606)/g2^10 + (4*t^5.606)/(g1^4*g2^4) + (g2^2*t^5.606)/g1^10 + (g1*t^5.803)/g2^5 + (g2*t^5.803)/g1^5 - 3*t^6. - (g1^5*t^6.197)/g2 - (g2^5*t^6.197)/g1 + t^6.22/(g1^13*g2^13) - 2*g1^4*g2^4*t^6.394 + t^6.417/(g1^8*g2^14) + t^6.417/(g1^14*g2^8) - g1^9*g2^3*t^6.591 - g1^3*g2^9*t^6.591 + (3*t^6.614)/(g1^9*g2^9) + (2*t^6.811)/(g1^4*g2^10) + (2*t^6.811)/(g1^10*g2^4) + (g1*t^7.008)/g2^11 + (3*t^7.008)/(g1^5*g2^5) + (g2*t^7.008)/g1^11 + (3*t^7.205)/g1^6 + (3*t^7.205)/g2^6 + t^7.228/(g1^18*g2^18) + (2*g1^5*t^7.402)/g2^7 + (2*t^7.402)/(g1*g2) + (2*g2^5*t^7.402)/g1^7 + t^7.425/(g1^13*g2^19) + t^7.425/(g1^19*g2^13) + (g1^10*t^7.598)/g2^8 + (2*g1^4*t^7.598)/g2^2 + (2*g2^4*t^7.598)/g1^2 + (g2^10*t^7.598)/g1^8 + t^7.621/(g1^8*g2^20) + (4*t^7.621)/(g1^14*g2^14) + t^7.621/(g1^20*g2^8) + (2*g1^9*t^7.795)/g2^3 - g1^3*g2^3*t^7.795 + (2*g2^9*t^7.795)/g1^3 + t^7.818/(g1^3*g2^21) + (3*t^7.818)/(g1^9*g2^15) + (3*t^7.818)/(g1^15*g2^9) + t^7.818/(g1^21*g2^3) + (g1^14*t^7.992)/g2^4 - g1^8*g2^2*t^7.992 - g1^2*g2^8*t^7.992 + (g2^14*t^7.992)/g1^4 + (2*t^8.015)/(g1^4*g2^16) + (5*t^8.015)/(g1^10*g2^10) + (2*t^8.015)/(g1^16*g2^4) - g1^13*g2*t^8.189 - 2*g1^7*g2^7*t^8.189 - g1*g2^13*t^8.189 + (g1*t^8.212)/g2^17 + (4*t^8.212)/(g1^5*g2^11) + (4*t^8.212)/(g1^11*g2^5) + (g2*t^8.212)/g1^17 - g1^12*g2^6*t^8.386 - g1^6*g2^12*t^8.386 + t^8.409/g1^12 + t^8.409/g2^12 + t^8.409/(g1^6*g2^6) - (2*t^8.606)/(g1*g2^7) - (2*t^8.606)/(g1^7*g2) + t^8.629/(g1^19*g2^19) - (8*t^8.803)/(g1^2*g2^2) + t^8.826/(g1^14*g2^20) + t^8.826/(g1^20*g2^14) - t^4.402/(g1*g2*y) - t^6.811/(g1^7*g2^7*y) - t^7.008/(g1^2*g2^8*y) - t^7.008/(g1^8*g2^2*y) - t^7.205/(g1^3*g2^3*y) + (g1*g2*t^7.598)/y + (g1^6*t^7.795)/y + (g2^6*t^7.795)/y + (g1^5*g2^5*t^7.992)/y + t^8.015/(g1^7*g2^13*y) + t^8.015/(g1^13*g2^7*y) + (3*t^8.212)/(g1^8*g2^8*y) + (3*t^8.409)/(g1^3*g2^9*y) + (3*t^8.409)/(g1^9*g2^3*y) + (g1^2*t^8.606)/(g2^10*y) + (3*t^8.606)/(g1^4*g2^4*y) + (g2^2*t^8.606)/(g1^10*y) + (2*g1*t^8.803)/(g2^5*y) + (2*g2*t^8.803)/(g1^5*y) - (t^4.402*y)/(g1*g2) - (t^6.811*y)/(g1^7*g2^7) - (t^7.008*y)/(g1^2*g2^8) - (t^7.008*y)/(g1^8*g2^2) - (t^7.205*y)/(g1^3*g2^3) + g1*g2*t^7.598*y + g1^6*t^7.795*y + g2^6*t^7.795*y + g1^5*g2^5*t^7.992*y + (t^8.015*y)/(g1^7*g2^13) + (t^8.015*y)/(g1^13*g2^7) + (3*t^8.212*y)/(g1^8*g2^8) + (3*t^8.409*y)/(g1^3*g2^9) + (3*t^8.409*y)/(g1^9*g2^3) + (g1^2*t^8.606*y)/g2^10 + (3*t^8.606*y)/(g1^4*g2^4) + (g2^2*t^8.606*y)/g1^10 + (2*g1*t^8.803*y)/g2^5 + (2*g2*t^8.803*y)/g1^5

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

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
952	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.7182	0.8876	0.8092	[M:[1.0601, 0.8198, 0.8798, 1.0, 1.0, 0.8798], q:[0.53, 0.4099], qb:[0.5901, 0.5901], phi:[0.47]]	t^2.459 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.869 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.919 + 3*t^4.951 + 2*t^5.099 + 4*t^5.279 + 2*t^5.459 + 5*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y	detail