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
2735	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$	0.6308	0.8213	0.7681	[M:[1.0, 1.0477, 0.9045, 0.6903, 0.6903], q:[0.7619, 0.2381], qb:[0.5477, 0.5477], phi:[0.4761]]	[M:[[0, 0], [4, 4], [-8, -8], [-9, -1], [-1, -9]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$	${}$	-4	2*t^2.071 + 2*t^2.357 + t^2.714 + t^2.857 + t^3. + t^3.143 + 2*t^3.786 + 3*t^4.142 + 4*t^4.428 + 6*t^4.715 + 2*t^4.785 + 2*t^4.928 + 2*t^5.071 + 4*t^5.214 + 2*t^5.357 + t^5.427 + 2*t^5.501 + t^5.57 + 2*t^5.714 + 5*t^5.857 - 4*t^6. + 4*t^6.143 + 4*t^6.213 + 6*t^6.499 + 10*t^6.786 + 3*t^6.856 - 2*t^6.929 + 3*t^6.999 + 8*t^7.072 + 3*t^7.142 + 7*t^7.285 + 2*t^7.428 + 2*t^7.498 + 8*t^7.572 + 2*t^7.641 + 2*t^7.715 + 4*t^7.785 + 3*t^7.858 + 8*t^7.928 - 6*t^8.071 + t^8.141 + 8*t^8.214 + 6*t^8.284 - 10*t^8.357 + 2*t^8.427 + 8*t^8.501 + 10*t^8.57 - 2*t^8.644 - t^8.714 + 9*t^8.857 + 4*t^8.927 - t^4.428/y - (2*t^6.499)/y + (4*t^7.428)/y + (2*t^7.715)/y + (2*t^7.785)/y + (2*t^7.928)/y + (4*t^8.071)/y + (4*t^8.214)/y + (4*t^8.357)/y + (2*t^8.501)/y - (2*t^8.57)/y + t^8.714/y + (6*t^8.857)/y - t^4.428*y - 2*t^6.499*y + 4*t^7.428*y + 2*t^7.715*y + 2*t^7.785*y + 2*t^7.928*y + 4*t^8.071*y + 4*t^8.214*y + 4*t^8.357*y + 2*t^8.501*y - 2*t^8.57*y + t^8.714*y + 6*t^8.857*y	t^2.071/(g1*g2^9) + t^2.071/(g1^9*g2) + (g1^7*t^2.357)/g2 + (g2^7*t^2.357)/g1 + t^2.714/(g1^8*g2^8) + t^2.857/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.143 + (g1^5*t^3.786)/g2^3 + (g2^5*t^3.786)/g1^3 + t^4.142/(g1^2*g2^18) + t^4.142/(g1^10*g2^10) + t^4.142/(g1^18*g2^2) + (g1^6*t^4.428)/g2^10 + (2*t^4.428)/(g1^2*g2^2) + (g2^6*t^4.428)/g1^10 + (2*g1^14*t^4.715)/g2^2 + 2*g1^6*g2^6*t^4.715 + (2*g2^14*t^4.715)/g1^2 + t^4.785/(g1^9*g2^17) + t^4.785/(g1^17*g2^9) + t^4.928/(g1^5*g2^13) + t^4.928/(g1^13*g2^5) + t^5.071/(g1*g2^9) + t^5.071/(g1^9*g2) + (2*g1^3*t^5.214)/g2^5 + (2*g2^3*t^5.214)/g1^5 + (g1^7*t^5.357)/g2 + (g2^7*t^5.357)/g1 + t^5.427/(g1^16*g2^16) + g1^11*g2^3*t^5.501 + g1^3*g2^11*t^5.501 + t^5.57/(g1^12*g2^12) + (2*t^5.714)/(g1^8*g2^8) + (g1^4*t^5.857)/g2^12 + (3*t^5.857)/(g1^4*g2^4) + (g2^4*t^5.857)/g1^12 - 2*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.143)/g2^4 + 2*g1^4*g2^4*t^6.143 + (g2^12*t^6.143)/g1^4 + t^6.213/(g1^3*g2^27) + t^6.213/(g1^11*g2^19) + t^6.213/(g1^19*g2^11) + t^6.213/(g1^27*g2^3) + (g1^5*t^6.499)/g2^19 + (2*t^6.499)/(g1^3*g2^11) + (2*t^6.499)/(g1^11*g2^3) + (g2^5*t^6.499)/g1^19 + (2*g1^13*t^6.786)/g2^11 + (3*g1^5*t^6.786)/g2^3 + (3*g2^5*t^6.786)/g1^3 + (2*g2^13*t^6.786)/g1^11 + t^6.856/(g1^10*g2^26) + t^6.856/(g1^18*g2^18) + t^6.856/(g1^26*g2^10) - g1^9*g2*t^6.929 - g1*g2^9*t^6.929 + t^6.999/(g1^6*g2^22) + t^6.999/(g1^14*g2^14) + t^6.999/(g1^22*g2^6) + (2*g1^21*t^7.072)/g2^3 + 2*g1^13*g2^5*t^7.072 + 2*g1^5*g2^13*t^7.072 + (2*g2^21*t^7.072)/g1^3 + t^7.142/(g1^2*g2^18) + t^7.142/(g1^10*g2^10) + t^7.142/(g1^18*g2^2) + (2*g1^2*t^7.285)/g2^14 + (3*t^7.285)/(g1^6*g2^6) + (2*g2^2*t^7.285)/g1^14 + (g1^6*t^7.428)/g2^10 + (g2^6*t^7.428)/g1^10 + t^7.498/(g1^17*g2^25) + t^7.498/(g1^25*g2^17) + (3*g1^10*t^7.572)/g2^6 + 2*g1^2*g2^2*t^7.572 + (3*g2^10*t^7.572)/g1^6 + t^7.641/(g1^13*g2^21) + t^7.641/(g1^21*g2^13) + (g1^14*t^7.715)/g2^2 + (g2^14*t^7.715)/g1^2 + (2*t^7.785)/(g1^9*g2^17) + (2*t^7.785)/(g1^17*g2^9) + g1^18*g2^2*t^7.858 + g1^10*g2^10*t^7.858 + g1^2*g2^18*t^7.858 + (g1^3*t^7.928)/g2^21 + (3*t^7.928)/(g1^5*g2^13) + (3*t^7.928)/(g1^13*g2^5) + (g2^3*t^7.928)/g1^21 - (g1^7*t^8.071)/g2^17 - (2*t^8.071)/(g1*g2^9) - (2*t^8.071)/(g1^9*g2) - (g2^7*t^8.071)/g1^17 + t^8.141/(g1^24*g2^24) + (g1^11*t^8.214)/g2^13 + (3*g1^3*t^8.214)/g2^5 + (3*g2^3*t^8.214)/g1^5 + (g2^11*t^8.214)/g1^13 + t^8.284/(g1^4*g2^36) + t^8.284/(g1^12*g2^28) + (2*t^8.284)/(g1^20*g2^20) + t^8.284/(g1^28*g2^12) + t^8.284/(g1^36*g2^4) - (g1^15*t^8.357)/g2^9 - (4*g1^7*t^8.357)/g2 - (4*g2^7*t^8.357)/g1 - (g2^15*t^8.357)/g1^9 + (2*t^8.427)/(g1^16*g2^16) + (2*g1^19*t^8.501)/g2^5 + 2*g1^11*g2^3*t^8.501 + 2*g1^3*g2^11*t^8.501 + (2*g2^19*t^8.501)/g1^5 + (g1^4*t^8.57)/g2^28 + (2*t^8.57)/(g1^4*g2^20) + (4*t^8.57)/(g1^12*g2^12) + (2*t^8.57)/(g1^20*g2^4) + (g2^4*t^8.57)/g1^28 - g1^15*g2^7*t^8.644 - g1^7*g2^15*t^8.644 - t^8.714/(g1^8*g2^8) + (2*g1^12*t^8.857)/g2^20 + (2*g1^4*t^8.857)/g2^12 + t^8.857/(g1^4*g2^4) + (2*g2^4*t^8.857)/g1^12 + (2*g2^12*t^8.857)/g1^20 + t^8.927/(g1^11*g2^35) + t^8.927/(g1^19*g2^27) + t^8.927/(g1^27*g2^19) + t^8.927/(g1^35*g2^11) - t^4.428/(g1^2*g2^2*y) - t^6.499/(g1^3*g2^11*y) - t^6.499/(g1^11*g2^3*y) + (g1^6*t^7.428)/(g2^10*y) + (2*t^7.428)/(g1^2*g2^2*y) + (g2^6*t^7.428)/(g1^10*y) + (2*g1^6*g2^6*t^7.715)/y + t^7.785/(g1^9*g2^17*y) + t^7.785/(g1^17*g2^9*y) + t^7.928/(g1^5*g2^13*y) + t^7.928/(g1^13*g2^5*y) + (2*t^8.071)/(g1*g2^9*y) + (2*t^8.071)/(g1^9*g2*y) + (2*g1^3*t^8.214)/(g2^5*y) + (2*g2^3*t^8.214)/(g1^5*y) + (2*g1^7*t^8.357)/(g2*y) + (2*g2^7*t^8.357)/(g1*y) + (g1^11*g2^3*t^8.501)/y + (g1^3*g2^11*t^8.501)/y - t^8.57/(g1^4*g2^20*y) - t^8.57/(g1^20*g2^4*y) + t^8.714/(g1^8*g2^8*y) + (g1^4*t^8.857)/(g2^12*y) + (4*t^8.857)/(g1^4*g2^4*y) + (g2^4*t^8.857)/(g1^12*y) - (t^4.428*y)/(g1^2*g2^2) - (t^6.499*y)/(g1^3*g2^11) - (t^6.499*y)/(g1^11*g2^3) + (g1^6*t^7.428*y)/g2^10 + (2*t^7.428*y)/(g1^2*g2^2) + (g2^6*t^7.428*y)/g1^10 + 2*g1^6*g2^6*t^7.715*y + (t^7.785*y)/(g1^9*g2^17) + (t^7.785*y)/(g1^17*g2^9) + (t^7.928*y)/(g1^5*g2^13) + (t^7.928*y)/(g1^13*g2^5) + (2*t^8.071*y)/(g1*g2^9) + (2*t^8.071*y)/(g1^9*g2) + (2*g1^3*t^8.214*y)/g2^5 + (2*g2^3*t^8.214*y)/g1^5 + (2*g1^7*t^8.357*y)/g2 + (2*g2^7*t^8.357*y)/g1 + g1^11*g2^3*t^8.501*y + g1^3*g2^11*t^8.501*y - (t^8.57*y)/(g1^4*g2^20) - (t^8.57*y)/(g1^20*g2^4) + (t^8.714*y)/(g1^8*g2^8) + (g1^4*t^8.857*y)/g2^12 + (4*t^8.857*y)/(g1^4*g2^4) + (g2^4*t^8.857*y)/g1^12

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
1735	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.6102	0.7816	0.7806	[M:[1.0, 1.0442, 0.9116, 0.6905], q:[0.761, 0.239], qb:[0.5484, 0.54], phi:[0.4779]]	t^2.072 + t^2.337 + t^2.362 + t^2.735 + t^2.867 + t^3. + t^3.133 + t^3.771 + t^3.796 + t^3.903 + t^4.143 + t^4.408 + t^4.434 + 2*t^4.674 + 2*t^4.699 + 2*t^4.724 + t^4.806 + t^4.939 + t^5.072 + 2*t^5.204 + t^5.229 + t^5.337 + t^5.362 + t^5.469 + t^5.47 + t^5.495 + t^5.602 + 2*t^5.735 + t^5.842 + 2*t^5.867 - 2*t^6. - t^4.434/y - t^4.434*y	detail